mems_pres22

Mems Pres2DateApr 10, 2014 1:08:45 AM

Contents1.Global Definitions1.1.Parameters 12.Component 1 (comp1)2.1.Definitions2.2.Geometry 12.3.Materials2.4.Moving Mesh (ale)2.5.Electrostatics (es)2.6.Solid Mechanics (solid)2.7.Mesh 13.Study 13.1.Eigenfrequency3.2.Frequency Domain3.3.Solver Configurations4.Results4.1.Data Sets4.2.Plot Groups

Global DefinitionsParameters 1ParametersNameExpressionDescription

bl9[um]

bw1[um]

thickness1[um]

al22[um]

aw10[um]

ew10[um]

el8[um]

airl30[um]

airw40[um]

airh30[um]

Component 1 (comp1)DefinitionsCoordinate SystemsBoundary System 1Coordinate system typeBoundary system

Identifiersys1

SettingsNameValue

Coordinate names{t1, t2, n}

Create first tangent direction fromGlobal Cartesian (spatial)

Geometry 1

Geometry 1UnitsLength unitm

Angular unitdeg

Geometry statisticsPropertyValue

Space dimension3

Number of domains4

Number of boundaries25

Number of edges50

Number of vertices32

Block 1 (blk1)PositionNameValue

Position{0, 0, 0}

AxisNameValue

Axis typez - axis

Size and shapeNameValue

Size{al, aw, thickness}


Position{10.5[um], 10[um], 0}

AxisNameValue

Axis typez - axis


Size{bw, bl, thickness}


Position{0[um], 11[um], 0}

AxisNameValue

Axis typez - axis


Size{ew, el, thickness}


Position{12[um], 11[um], 0}

AxisNameValue

Axis typez - axis


Size{ew, el, thickness}


Position{-5[um], -10[um], -10[um]}

AxisNameValue

Axis typez - axis


Size{airl, airh, airh}

MaterialsAluminum

AluminumSelectionGeometric entity levelDomain

SelectionDomains 14

Material parametersNameValueUnit

Relative permittivity11

Density2700[kg/m^3]kg/m^3

Young's modulus70e9[Pa]Pa

Poisson's ratio0.331

Basic SettingsDescriptionValue

Relative permeability{{1, 0, 0}, {0, 1, 0}, {0, 0, 1}}

Heat capacity at constant pressure900[J/(kg*K)]

Thermal conductivity{{238[W/(m*K)], 0, 0}, {0, 238[W/(m*K)], 0}, {0, 0, 238[W/(m*K)]}}

Electrical conductivity{{3.774e7[S/m], 0, 0}, {0, 3.774e7[S/m], 0}, {0, 0, 3.774e7[S/m]}}

Relative permittivity{{1, 0, 0}, {0, 1, 0}, {0, 0, 1}}

Coefficient of thermal expansion{{23e-6[1/K], 0, 0}, {0, 23e-6[1/K], 0}, {0, 0, 23e-6[1/K]}}

Density2700[kg/m^3]

Young's modulus and Poisson's ratio SettingsDescriptionValue

Young's modulus70e9[Pa]

Poisson's ratio0.33

Murnaghan SettingsDescriptionValue

Murnaghan third-order elastic moduli-2.5e11[Pa]



Lam parameters SettingsDescriptionValue

Lam parameter 5.1e10[Pa]

Lam parameter 2.6e10[Pa]

Air

AirSelectionGeometric entity levelDomain

SelectionNo domains

Material parametersNameValueUnit

Basic SettingsDescriptionValue

Relative permeability{{1, 0, 0}, {0, 1, 0}, {0, 0, 1}}


Dynamic viscosityeta(T[1/K])[Pa*s]

Ratio of specific heats1.4

Electrical conductivity{{0[S/m], 0, 0}, {0, 0[S/m], 0}, {0, 0, 0[S/m]}}

Heat capacity at constant pressureCp(T[1/K])[J/(kg*K)]

Densityrho(pA[1/Pa], T[1/K])[kg/m^3]

Thermal conductivity{{k(T[1/K])[W/(m*K)], 0, 0}, {0, k(T[1/K])[W/(m*K)], 0}, {0, 0, k(T[1/K])[W/(m*K)]}}

Speed of soundcs(T[1/K])[m/s]

FunctionsFunction nameType

etaPiecewise

CpPiecewise

rhoAnalytic

kPiecewise

csAnalytic

eta

Cp

k

csRefractive index SettingsDescriptionValue

Refractive index{{1, 0, 0}, {0, 1, 0}, {0, 0, 1}}

Refractive index, imaginary part{{0, 0, 0}, {0, 0, 0}, {0, 0, 0}}

Moving Mesh (ale)

Moving MeshSelectionGeometric entity levelDomain

SelectionNo domains

SettingsDescriptionValue

Material frame coordinates{X, Y, Z}

Geometry shape order2

Used productsCOMSOL Multiphysics

VariablesNameExpressionUnitDescriptionSelection

xtd(x,TIME)m/sMesh velocity, x componentGlobal

ytd(y,TIME)m/sMesh velocity, y componentGlobal

ztd(z,TIME)m/sMesh velocity, z componentGlobal

Fixed Mesh 1

Fixed Mesh 1SelectionGeometric entity levelDomain

SelectionNo domains

Prescribed Mesh Displacement 1

Prescribed Mesh Displacement 1SelectionGeometric entity levelBoundary

SelectionNo boundaries

SettingsSettingsDescriptionValue

Prescribed # displacement{On, On, On}

Prescribed mesh displacement{0, 0, 0}

Use weak constraintsOff

Free Deformation 1

Free Deformation 1SelectionGeometric entity levelDomain

SelectionNo domains


Initial mesh displacement{0, 0, 0}

Shape functionsNameShape functionUnitDescriptionShape frameSelection

xLagrange (Quadratic)mSpatial coordinate xMaterialNo domains

yLagrange (Quadratic)mSpatial coordinate yMaterialNo domains

zLagrange (Quadratic)mSpatial coordinate zMaterialNo domains

Electrostatics (es)

ElectrostaticsSelectionGeometric entity levelDomain

SelectionDomains 14

Equations


Electric potentialQuadratic

Value type when using splitting of complex variablesComplex

FrameSpatial

Activate terminal sweepOff

Reference impedance50[ohm]

Parameter to exportZ



es.d11ContributionDomains 14

es.nxnxNormal vector, x componentBoundary 13

es.nynyNormal vector, y componentBoundary 13

es.nznzNormal vector, z componentBoundary 13

es.nxdnxNormal vector, x componentBoundaries 112, 1425

es.nydnyNormal vector, y componentBoundaries 112, 1425

es.nzdnzNormal vector, z componentBoundaries 112, 1425

es.unTex0PaMaxwell upward electric surface stress tensor, x componentBoundaries 125

es.unTey0PaMaxwell upward electric surface stress tensor, y componentBoundaries 125

es.unTez0PaMaxwell upward electric surface stress tensor, z componentBoundaries 125

es.dnTex0PaMaxwell downward electric surface stress tensor, x componentBoundaries 125

es.dnTey0PaMaxwell downward electric surface stress tensor, y componentBoundaries 125

es.dnTez0PaMaxwell downward electric surface stress tensor, z componentBoundaries 125

es.intWees.int_We(es.d*es.dWe)JTotal electric energyGlobal

es.zref50[ohm]Reference impedanceGlobal

Charge Conservation 1

Charge Conservation 1SelectionGeometric entity levelDomain

SelectionDomains 14

Equations


Constitutive relationRelative permittivity

Relative permittivityFrom material


Properties from materialPropertyMaterialProperty group

Relative permittivityAluminumBasic


es.unTex-0.5*es.dnx*(real(up(es.Dx))*real(up(es.Ex))+real(up(es.Dy))*real(up(es.Ey))+real(up(es.Dz))*real(up(es.Ez)))+real(up(es.Dx))*(real(up(es.Ex))*es.dnx+real(up(es.Ey))*es.dny+real(up(es.Ez))*es.dnz)PaMaxwell upward electric surface stress tensor, x componentBoundary 13

es.unTey-0.5*es.dny*(real(up(es.Dx))*real(up(es.Ex))+real(up(es.Dy))*real(up(es.Ey))+real(up(es.Dz))*real(up(es.Ez)))+real(up(es.Dy))*(real(up(es.Ex))*es.dnx+real(up(es.Ey))*es.dny+real(up(es.Ez))*es.dnz)PaMaxwell upward electric surface stress tensor, y componentBoundary 13

es.unTez-0.5*es.dnz*(real(up(es.Dx))*real(up(es.Ex))+real(up(es.Dy))*real(up(es.Ey))+real(up(es.Dz))*real(up(es.Ez)))+real(up(es.Dz))*(real(up(es.Ex))*es.dnx+real(up(es.Ey))*es.dny+real(up(es.Ez))*es.dnz)PaMaxwell upward electric surface stress tensor, z componentBoundary 13

es.dnTex-0.5*es.unx*(real(down(es.Dx))*real(down(es.Ex))+real(down(es.Dy))*real(down(es.Ey))+real(down(es.Dz))*real(down(es.Ez)))+real(down(es.Dx))*(real(down(es.Ex))*es.unx+real(down(es.Ey))*es.uny+real(down(es.Ez))*es.unz)PaMaxwell downward electric surface stress tensor, x componentBoundary 13

es.dnTey-0.5*es.uny*(real(down(es.Dx))*real(down(es.Ex))+real(down(es.Dy))*real(down(es.Ey))+real(down(es.Dz))*real(down(es.Ez)))+real(down(es.Dy))*(real(down(es.Ex))*es.unx+real(down(es.Ey))*es.uny+real(down(es.Ez))*es.unz)PaMaxwell downward electric surface stress tensor, y componentBoundary 13

es.dnTez-0.5*es.unz*(real(down(es.Dx))*real(down(es.Ex))+real(down(es.Dy))*real(down(es.Ey))+real(down(es.Dz))*real(down(es.Ez)))+real(down(es.Dz))*(real(down(es.Ex))*es.unx+real(down(es.Ey))*es.uny+real(down(es.Ez))*es.unz)PaMaxwell downward electric surface stress tensor, z componentBoundary 13

es.dnTex-0.5*es.unx*(real(down(es.Dx))*real(down(es.Ex))+real(down(es.Dy))*real(down(es.Ey))+real(down(es.Dz))*real(down(es.Ez)))+real(down(es.Dx))*(real(down(es.Ex))*es.unx+real(down(es.Ey))*es.uny+real(down(es.Ez))*es.unz)PaMaxwell downward electric surface stress tensor, x componentBoundaries 112, 1425

es.dnTey-0.5*es.uny*(real(down(es.Dx))*real(down(es.Ex))+real(down(es.Dy))*real(down(es.Ey))+real(down(es.Dz))*real(down(es.Ez)))+real(down(es.Dy))*(real(down(es.Ex))*es.unx+real(down(es.Ey))*es.uny+real(down(es.Ez))*es.unz)PaMaxwell downward electric surface stress tensor, y componentBoundaries 112, 1425

es.dnTez-0.5*es.unz*(real(down(es.Dx))*real(down(es.Ex))+real(down(es.Dy))*real(down(es.Ey))+real(down(es.Dz))*real(down(es.Ez)))+real(down(es.Dz))*(real(down(es.Ex))*es.unx+real(down(es.Ey))*es.uny+real(down(es.Ez))*es.unz)PaMaxwell downward electric surface stress tensor, z componentBoundaries 112, 1425

es.nD0C/m^2Surface charge densityDomains 14

es.epsilonrxxmaterial.epsilonr111Relative permittivity, xx componentDomains 14

es.epsilonryxmaterial.epsilonr211Relative permittivity, yx componentDomains 14

es.epsilonrzxmaterial.epsilonr311Relative permittivity, zx componentDomains 14

es.epsilonrxymaterial.epsilonr121Relative permittivity, xy componentDomains 14

es.epsilonryymaterial.epsilonr221Relative permittivity, yy componentDomains 14

es.epsilonrzymaterial.epsilonr321Relative permittivity, zy componentDomains 14

es.epsilonrxzmaterial.epsilonr131Relative permittivity, xz componentDomains 14

es.epsilonryzmaterial.epsilonr231Relative permittivity, yz componentDomains 14

es.epsilonrzzmaterial.epsilonr331Relative permittivity, zz componentDomains 14

es.Dxepsilon0_const*es.Ixx*es.Ex+epsilon0_const*es.Ixy*es.Ey+epsilon0_const*es.Ixz*es.Ez+es.PxC/m^2Electric displacement field, x componentDomains 14

es.Dyepsilon0_const*es.Iyx*es.Ex+epsilon0_const*es.Iyy*es.Ey+epsilon0_const*es.Iyz*es.Ez+es.PyC/m^2Electric displacement field, y componentDomains 14

es.Dzepsilon0_const*es.Izx*es.Ex+epsilon0_const*es.Izy*es.Ey+epsilon0_const*es.Izz*es.Ez+es.PzC/m^2Electric displacement field, z componentDomains 14

es.Pxepsilon0_const*(es.chixx*es.Ex+es.chixy*es.Ey+es.chixz*es.Ez)C/m^2Polarization, x componentDomains 14

es.Pyepsilon0_const*(es.chiyx*es.Ex+es.chiyy*es.Ey+es.chiyz*es.Ez)C/m^2Polarization, y componentDomains 14

es.Pzepsilon0_const*(es.chizx*es.Ex+es.chizy*es.Ey+es.chizz*es.Ez)C/m^2Polarization, z componentDomains 14

es.normDsqrt(realdot(es.Dx,es.Dx)+realdot(es.Dy,es.Dy)+realdot(es.Dz,es.Dz))C/m^2Electric displacement field normDomains 14

es.normPsqrt(realdot(es.Px,es.Px)+realdot(es.Py,es.Py)+realdot(es.Pz,es.Pz))C/m^2Polarization normDomains 14

es.chixx-1+es.epsilonrxx1Electric susceptibility, xx componentDomains 14

es.chiyxes.epsilonryx1Electric susceptibility, yx componentDomains 14

es.chizxes.epsilonrzx1Electric susceptibility, zx componentDomains 14

es.chixyes.epsilonrxy1Electric susceptibility, xy componentDomains 14

es.chiyy-1+es.epsilonryy1Electric susceptibility, yy componentDomains 14

es.chizyes.epsilonrzy1Electric susceptibility, zy componentDomains 14

es.chixzes.epsilonrxz1Electric susceptibility, xz componentDomains 14

es.chiyzes.epsilonryz1Electric susceptibility, yz componentDomains 14

es.chizz-1+es.epsilonrzz1Electric susceptibility, zz componentDomains 14

es.Ixx11Spatial identity matrix, xx componentDomains 14

es.Iyx01Spatial identity matrix, yx componentDomains 14

es.Izx01Spatial identity matrix, zx componentDomains 14

es.Ixy01Spatial identity matrix, xy componentDomains 14

es.Iyy11Spatial identity matrix, yy componentDomains 14

es.Izy01Spatial identity matrix, zy componentDomains 14

es.Ixz01Spatial identity matrix, xz componentDomains 14

es.Iyz01Spatial identity matrix, yz componentDomains 14

es.Izz11Spatial identity matrix, zz componentDomains 14

es.Ex-VxV/mElectric field, x componentDomains 14

es.Ey-VyV/mElectric field, y componentDomains 14

es.Ez-VzV/mElectric field, z componentDomains 14

es.tEx-VTxV/mTangential electric field, x componentBoundaries 125

es.tEy-VTyV/mTangential electric field, y componentBoundaries 125

es.tEz-VTzV/mTangential electric field, z componentBoundaries 125

es.normEsqrt(realdot(es.Ex,es.Ex)+realdot(es.Ey,es.Ey)+realdot(es.Ez,es.Ez))V/mElectric field normDomains 14

es.Jxes.JdxA/m^2Current density, x componentDomains 14

es.Jyes.JdyA/m^2Current density, y componentDomains 14

es.Jzes.JdzA/m^2Current density, z componentDomains 14

es.Jdx0A/m^2Displacement current density, x componentDomains 14

es.Jdy0A/m^2Displacement current density, y componentDomains 14

es.Jdz0A/m^2Displacement current density, z componentDomains 14

es.unTx0PaMaxwell upward surface stress tensor, x componentBoundaries 112, 1425

es.unTy0PaMaxwell upward surface stress tensor, y componentBoundaries 112, 1425

es.unTz0PaMaxwell upward surface stress tensor, z componentBoundaries 112, 1425

es.unTxes.unTexPaMaxwell upward surface stress tensor, x componentBoundary 13

es.unTyes.unTeyPaMaxwell upward surface stress tensor, y componentBoundary 13

es.unTzes.unTezPaMaxwell upward surface stress tensor, z componentBoundary 13

es.dnTxes.dnTexPaMaxwell downward surface stress tensor, x componentBoundaries 112, 1425

es.dnTyes.dnTeyPaMaxwell downward surface stress tensor, y componentBoundaries 112, 1425

es.dnTzes.dnTezPaMaxwell downward surface stress tensor, z componentBoundaries 112, 1425

es.dnTxes.dnTexPaMaxwell downward surface stress tensor, x componentBoundary 13

es.dnTyes.dnTeyPaMaxwell downward surface stress tensor, y componentBoundary 13

es.dnTzes.dnTezPaMaxwell downward surface stress tensor, z componentBoundary 13

es.unxunxNormal vector up direction, x componentBoundaries 125

es.unyunyNormal vector up direction, y componentBoundaries 125

es.unzunzNormal vector up direction, z componentBoundaries 125

es.dnxdnxNormal vector down direction, x componentBoundaries 125

es.dnydnyNormal vector down direction, y componentBoundaries 125

es.dnzdnzNormal vector down direction, z componentBoundaries 125

es.Wes.WeJ/m^3Energy densityDomains 14

es.dWees.WeJ/m^3Integrand for total electric energyDomains 14

es.We0.5*epsilon0_const*((es.epsilonrxx*es.Ex+es.epsilonrxy*es.Ey+es.epsilonrxz*es.Ez)*es.Ex+(es.epsilonryx*es.Ex+es.epsilonryy*es.Ey+es.epsilonryz*es.Ez)*es.Ey+(es.epsilonrzx*es.Ex+es.epsilonrzy*es.Ey+es.epsilonrzz*es.Ez)*es.Ez)J/m^3Electric energy densityDomains 14


VLagrange (Quadratic)VElectric potentialSpatialDomains 14

VLagrange (Quadratic)VElectric potentialMaterialDomains 14

Weak expressionsWeak expressionIntegration frameSelection

-(es.Dx*test(Vx)+es.Dy*test(Vy)+es.Dz*test(Vz))*es.dSpatialDomains 14

Zero Charge 1

Zero Charge 1SelectionGeometric entity levelBoundary

SelectionBoundaries 12, 47, 912, 1420, 2225

Equations


es.nD0C/m^2Surface charge densityBoundaries 12, 47, 912, 1420, 2225


VLagrange (Quadratic)VElectric potentialSpatialNo boundaries

VLagrange (Quadratic)VElectric potentialMaterialNo boundaries

Initial Values 1

Initial Values 1SelectionGeometric entity levelDomain

SelectionDomains 14


Electric potential0

Electric Potential 1

Electric Potential 1SelectionGeometric entity levelBoundary

SelectionBoundary 3

Equations


Electric potential5

Apply reaction terms onAll physics (symmetric)



es.nDes.unx*(down(es.Dx)-up(es.Dx))+es.uny*(down(es.Dy)-up(es.Dy))+es.unz*(down(es.Dz)-up(es.Dz))C/m^2Surface charge densityBoundary 3

es.V05VElectric potentialBoundary 3

Shape functionsConstraintConstraint forceShape functionSelection

es.V0-Vtest(es.V0-V)Lagrange (Quadratic)Boundary 3

Ground 1

Ground 1SelectionGeometric entity levelBoundary

SelectionBoundaries 8, 21

Equations





es.nDes.unx*(down(es.Dx)-up(es.Dx))+es.uny*(down(es.Dy)-up(es.Dy))+es.unz*(down(es.Dz)-up(es.Dz))C/m^2Surface charge densityBoundaries 8, 21


-Vtest(-V)Lagrange (Quadratic)Boundaries 8, 21

Solid Mechanics (solid)

Solid MechanicsSelectionGeometric entity levelDomain

SelectionDomains 14

Equations


Displacement fieldQuadratic

Compute boundary fluxesOff

Value type when using splitting of complex variablesComplex

FrameMaterial

Structural transient behaviorInclude inertial terms

Reference point for moment computation, x component0

Reference point for moment computation, y component0

Reference point for moment computation, z component0

Typical wave speed for perfectly matched layerssolid.cp



xtd(x,TIME)m/sMesh velocity, x componentGlobal

ytd(y,TIME)m/sMesh velocity, y componentGlobal

ztd(z,TIME)m/sMesh velocity, z componentGlobal

solid.nXnX1Normal vector, X componentBoundary 13

solid.nYnY1Normal vector, Y componentBoundary 13

solid.nZnZ1Normal vector, Z componentBoundary 13

solid.nXdnX1Normal vector, X componentBoundaries 112, 1425

solid.nYdnY1Normal vector, Y componentBoundaries 112, 1425

solid.nZdnZ1Normal vector, Z componentBoundaries 112, 1425

solid.nxnx1Normal vector, x componentBoundary 13

solid.nyny1Normal vector, y componentBoundary 13

solid.nznz1Normal vector, z componentBoundary 13

solid.nxdnx1Normal vector, x componentBoundaries 112, 1425

solid.nydny1Normal vector, y componentBoundaries 112, 1425

solid.nzdnz1Normal vector, z componentBoundaries 112, 1425

solid.nXmeshroot.nXmesh1Normal vector (mesh), X componentBoundary 13

solid.nYmeshroot.nYmesh1Normal vector (mesh), Y componentBoundary 13

solid.nZmeshroot.nZmesh1Normal vector (mesh), Z componentBoundary 13

solid.nXmeshroot.dnXmesh1Normal vector (mesh), X componentBoundaries 112, 1425

solid.nYmeshroot.dnYmesh1Normal vector (mesh), Y componentBoundaries 112, 1425

solid.nZmeshroot.dnZmesh1Normal vector (mesh), Z componentBoundaries 112, 1425

solid.nxmeshroot.nxmesh1Normal vector (mesh), x componentBoundary 13

solid.nymeshroot.nymesh1Normal vector (mesh), y componentBoundary 13

solid.nzmeshroot.nzmesh1Normal vector (mesh), z componentBoundary 13

solid.nxmeshroot.dnxmesh1Normal vector (mesh), x componentBoundaries 112, 1425

solid.nymeshroot.dnymesh1Normal vector (mesh), y componentBoundaries 112, 1425

solid.nzmeshroot.dnzmesh1Normal vector (mesh), z componentBoundaries 112, 1425

solid.refpntx0mReference point for moment computation, x componentGlobal

solid.refpnty0mReference point for moment computation, y componentGlobal

solid.refpntz0mReference point for moment computation, z componentGlobal

solid.crefsolid.cpm/sTypical wave speed for perfectly matched layersDomains 14

Linear Elastic Material 1

Linear Elastic Material 1SelectionGeometric entity levelDomain

SelectionDomains 14

Equations


Solid modelIsotropic

Force linear strainsOff

Nearly incompressible materialOff

SpecifyYoung's modulus and Poisson's ratio

Calculate dissipated energyOff

Young's modulusFrom material

Poisson's ratioFrom material

Elasticity matrix{{0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}}

Elasticity matrix, Voigt notation{{0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}}

DensityFrom material

Properties from materialPropertyMaterialProperty group

Young's modulusAluminumYoung's modulus and Poisson's ratio

Poisson's ratioAluminumYoung's modulus and Poisson's ratio

DensityAluminumBasic


solid.D11solid.E*(1-solid.nu)/((1+solid.nu)*(1-2*solid.nu))PaElasticity matrix, 11 componentDomains 14

solid.D12solid.E*solid.nu/((1+solid.nu)*(1-2*solid.nu))PaElasticity matrix, 12 componentDomains 14


solid.D140PaElasticity matrix, 14 componentDomains 14












solid.D440.5*solid.E/(1+solid.nu)PaElasticity matrix, 44 componentDomains 14






solid.Ksolid.E/(3*(1-2*solid.nu))N/m^2Bulk modulusDomains 14

solid.Eequsolid.EPaEquivalent Young's modulusDomains 14

solid.nuequsolid.nu1Equivalent Poisson's ratioDomains 14

solid.Ematerial.EPaYoung's modulusDomains 14

solid.numaterial.nu1Poisson's ratioDomains 14

solid.rhomaterial.rhokg/m^3DensityDomains 14

solid.G0.5*solid.E/(1+solid.nu)N/m^2Shear modulusDomains 14

solid.lambLamesolid.E*solid.nu/((1+solid.nu)*(1-2*solid.nu))N/m^2Lam parameter Domains 14

solid.muLame0.5*solid.E/(1+solid.nu)N/m^2Lam parameter Domains 14

solid.cpsqrt((solid.lambLame+2*solid.muLame)/solid.rho)m/sPressure-wave speedDomains 14

solid.cssqrt(solid.muLame/solid.rho)m/sShear-wave speedDomains 14

solid.Gequsolid.GN/m^2Equivalent shear modulusDomains 14

solid.Cgl11solid.D11+solid.D12+solid.D13PaC:g tensor, local coordinate system, 11 componentDomains 14






solid.gradUxXuX1Displacement gradient, xX componentDomains 14

solid.gradUyXvX1Displacement gradient, yX componentDomains 14

solid.gradUzXwX1Displacement gradient, zX componentDomains 14

solid.gradUxYuY1Displacement gradient, xY componentDomains 14

solid.gradUyYvY1Displacement gradient, yY componentDomains 14

solid.gradUzYwY1Displacement gradient, zY componentDomains 14

solid.gradUxZuZ1Displacement gradient, xZ componentDomains 14

solid.gradUyZvZ1Displacement gradient, yZ componentDomains 14

solid.gradUzZwZ1Displacement gradient, zZ componentDomains 14

solid.FdxX1+solid.gradUxX1Deformation gradient, xX componentDomains 14

solid.FdyXsolid.gradUyX1Deformation gradient, yX componentDomains 14

solid.FdzXsolid.gradUzX1Deformation gradient, zX componentDomains 14

solid.FdxYsolid.gradUxY1Deformation gradient, xY componentDomains 14

solid.FdyY1+solid.gradUyY1Deformation gradient, yY componentDomains 14

solid.FdzYsolid.gradUzY1Deformation gradient, zY componentDomains 14

solid.FdxZsolid.gradUxZ1Deformation gradient, xZ componentDomains 14

solid.FdyZsolid.gradUyZ1Deformation gradient, yZ componentDomains 14

solid.FdzZ1+solid.gradUzZ1Deformation gradient, zZ componentDomains 14

solid.Fdlx1solid.FdxX1Deformation gradient, local, x1 componentDomains 14

solid.Fdly1solid.FdyX1Deformation gradient, local, y1 componentDomains 14

solid.Fdlz1solid.FdzX1Deformation gradient, local, z1 componentDomains 14

solid.Fdlx2solid.FdxY1Deformation gradient, local, x2 componentDomains 14

solid.Fdly2solid.FdyY1Deformation gradient, local, y2 componentDomains 14

solid.Fdlz2solid.FdzY1Deformation gradient, local, z2 componentDomains 14

solid.Fdlx3solid.FdxZ1Deformation gradient, local, x3 componentDomains 14

solid.Fdly3solid.FdyZ1Deformation gradient, local, y3 componentDomains 14

solid.Fdlz3solid.FdzZ1Deformation gradient, local, z3 componentDomains 14

uTXtroot.comp1.uTXTIME1/sTangential gradient of u, first time derivative, X componentBoundaries 125

uTYtroot.comp1.uTYTIME1/sTangential gradient of u, first time derivative, Y componentBoundaries 125

uTZtroot.comp1.uTZTIME1/sTangential gradient of u, first time derivative, Z componentBoundaries 125

uTXttroot.comp1.uTXTIMETIME1/s^2Tangential gradient of u, second time derivative, X componentBoundaries 125

uTYttroot.comp1.uTYTIMETIME1/s^2Tangential gradient of u, second time derivative, Y componentBoundaries 125

uTZttroot.comp1.uTZTIMETIME1/s^2Tangential gradient of u, second time derivative, Z componentBoundaries 125

uXtroot.comp1.uXTIME1/sGradient of u, first time derivative, X componentDomains 14

uYtroot.comp1.uYTIME1/sGradient of u, first time derivative, Y componentDomains 14

uZtroot.comp1.uZTIME1/sGradient of u, first time derivative, Z componentDomains 14

uXttroot.comp1.uXTIMETIME1/s^2Gradient of u, second time derivative, X componentDomains 14

uYttroot.comp1.uYTIMETIME1/s^2Gradient of u, second time derivative, Y componentDomains 14

uZttroot.comp1.uZTIMETIME1/s^2Gradient of u, second time derivative, Z componentDomains 14

vTXtroot.comp1.vTXTIME1/sTangential gradient of v, first time derivative, X componentBoundaries 125

vTYtroot.comp1.vTYTIME1/sTangential gradient of v, first time derivative, Y componentBoundaries 125

vTZtroot.comp1.vTZTIME1/sTangential gradient of v, first time derivative, Z componentBoundaries 125

vTXttroot.comp1.vTXTIMETIME1/s^2Tangential gradient of v, second time derivative, X componentBoundaries 125

vTYttroot.comp1.vTYTIMETIME1/s^2Tangential gradient of v, second time derivative, Y componentBoundaries 125

vTZttroot.comp1.vTZTIMETIME1/s^2Tangential gradient of v, second time derivative, Z componentBoundaries 125

vXtroot.comp1.vXTIME1/sGradient of v, first time derivative, X componentDomains 14

vYtroot.comp1.vYTIME1/sGradient of v, first time derivative, Y componentDomains 14

vZtroot.comp1.vZTIME1/sGradient of v, first time derivative, Z componentDomains 14

vXttroot.comp1.vXTIMETIME1/s^2Gradient of v, second time derivative, X componentDomains 14

vYttroot.comp1.vYTIMETIME1/s^2Gradient of v, second time derivative, Y componentDomains 14

vZttroot.comp1.vZTIMETIME1/s^2Gradient of v, second time derivative, Z componentDomains 14

wTXtroot.comp1.wTXTIME1/sTangential gradient of w, first time derivative, X componentBoundaries 125

wTYtroot.comp1.wTYTIME1/sTangential gradient of w, first time derivative, Y componentBoundaries 125

wTZtroot.comp1.wTZTIME1/sTangential gradient of w, first time derivative, Z componentBoundaries 125

wTXttroot.comp1.wTXTIMETIME1/s^2Tangential gradient of w, second time derivative, X componentBoundaries 125

wTYttroot.comp1.wTYTIMETIME1/s^2Tangential gradient of w, second time derivative, Y componentBoundaries 125

wTZttroot.comp1.wTZTIMETIME1/s^2Tangential gradient of w, second time derivative, Z componentBoundaries 125

wXtroot.comp1.wXTIME1/sGradient of w, first time derivative, X componentDomains 14

wYtroot.comp1.wYTIME1/sGradient of w, first time derivative, Y componentDomains 14

wZtroot.comp1.wZTIME1/sGradient of w, first time derivative, Z componentDomains 14

wXttroot.comp1.wXTIMETIME1/s^2Gradient of w, second time derivative, X componentDomains 14

wYttroot.comp1.wYTIMETIME1/s^2Gradient of w, second time derivative, Y componentDomains 14

wZttroot.comp1.wZTIMETIME1/s^2Gradient of w, second time derivative, Z componentDomains 14

utroot.comp1.uTIMEm/sStructural velocity field, X componentDomains 14

vtroot.comp1.vTIMEm/sStructural velocity field, Y componentDomains 14

wtroot.comp1.wTIMEm/sStructural velocity field, Z componentDomains 14

uttroot.comp1.uTIMETIMEm/s^2Acceleration field, X componentDomains 14

vttroot.comp1.vTIMETIMEm/s^2Acceleration field, Y componentDomains 14

wttroot.comp1.wTIMETIMEm/s^2Acceleration field, Z componentDomains 14

solid.eXXuX1Strain tensor, XX componentDomains 14

solid.eXY0.5*(uY+vX)1Strain tensor, XY componentDomains 14

solid.eXZ0.5*(uZ+wX)1Strain tensor, XZ componentDomains 14

solid.eYYvY1Strain tensor, YY componentDomains 14

solid.eYZ0.5*(vZ+wY)1Strain tensor, YZ componentDomains 14

solid.eZZwZ1Strain tensor, ZZ componentDomains 14

solid.el11solid.eXX1Strain tensor, local coordinate system, 11 componentDomains 14

solid.el12solid.eXY1Strain tensor, local coordinate system, 12 componentDomains 14

solid.el13solid.eXZ1Strain tensor, local coordinate system, 13 componentDomains 14

solid.el22solid.eYY1Strain tensor, local coordinate system, 22 componentDomains 14

solid.el23solid.eYZ1Strain tensor, local coordinate system, 23 componentDomains 14

solid.el33solid.eZZ1Strain tensor, local coordinate system, 33 componentDomains 14

solid.eil1101Initial strain tensor, local coordinate system, 11 componentDomains 14






solid.eiel1101Inelastic strain tensor, local coordinate system, 11 componentDomains 14






solid.eel11solid.el11-solid.eil11-solid.eiel111Elastic strain tensor, local coordinate system, 11 componentDomains 14






solid.evolsolid.eXX+solid.eYY+solid.eZZ1Volumetric strainDomains 14

solid.Jsolid.FdxX*solid.FdyY*solid.FdzZ+solid.FdxY*solid.FdyZ*solid.FdzX+solid.FdxZ*solid.FdyX*solid.FdzY-solid.FdxX*solid.FdyZ*solid.FdzY-solid.FdxY*solid.FdyX*solid.FdzZ-solid.FdxZ*solid.FdyY*solid.FdzX1Volume ratioDomains 14

solid.eXsolid.eXX1Strain tensor, X componentDomains 14

solid.eYsolid.eYY1Strain tensor, Y componentDomains 14

solid.eZsolid.eZZ1Strain tensor, Z componentDomains 14

solid.Sil110N/m^2Initial stress tensor, local coordinate system, 11 componentDomains 14






solid.Sl11solid.Sil11+solid.D11*solid.eel11+solid.D12*solid.eel22+solid.D13*solid.eel33+2*solid.D14*solid.eel12+2*solid.D15*solid.eel23+2*solid.D16*solid.eel13N/m^2Second Piola-Kirchhoff stress, local coordinate system, 11 componentDomains 14






solid.u_ttXd(root.comp1.uTIME,TIME)m/s^2Acceleration, X componentDomains 14

solid.u_ttYd(root.comp1.vTIME,TIME)m/s^2Acceleration, Y componentDomains 14

solid.u_ttZd(root.comp1.wTIME,TIME)m/s^2Acceleration, Z componentDomains 14

solid.u_tXroot.comp1.uTIMEm/sVelocity, X componentDomains 14

solid.u_tYroot.comp1.vTIMEm/sVelocity, Y componentDomains 14

solid.u_tZroot.comp1.wTIMEm/sVelocity, Z componentDomains 14

solid.accXsolid.u_ttXm/s^2Total acceleration, X componentDomains 14

solid.accYsolid.u_ttYm/s^2Total acceleration, Y componentDomains 14

solid.accZsolid.u_ttZm/s^2Total acceleration, Z componentDomains 14

solid.G0solid.GequN/m^2Instantaneous shear modulusDomains 14

solid.Ldxd(solid.gradUxX,TIME)1/sRate of strain tensor, x componentDomains 14

solid.Ldxy0.5*(d(solid.gradUxY,TIME)+d(solid.gradUyX,TIME))1/sRate of strain tensor, xy componentDomains 14

solid.Ldxz0.5*(d(solid.gradUxZ,TIME)+d(solid.gradUzX,TIME))1/sRate of strain tensor, xz componentDomains 14

solid.Ldyd(solid.gradUyY,TIME)1/sRate of strain tensor, y componentDomains 14

solid.Ldyz0.5*(d(solid.gradUyZ,TIME)+d(solid.gradUzY,TIME))1/sRate of strain tensor, yz componentDomains 14

solid.Ldzd(solid.gradUzZ,TIME)1/sRate of strain tensor, z componentDomains 14

solid.Lwx01/sSpin tensor, x componentDomains 14

solid.Lwxy0.5*(d(solid.gradUxY,TIME)-d(solid.gradUyX,TIME))1/sSpin tensor, xy componentDomains 14

solid.Lwxz0.5*(d(solid.gradUxZ,TIME)-d(solid.gradUzX,TIME))1/sSpin tensor, xz componentDomains 14

solid.Lwy01/sSpin tensor, y componentDomains 14

solid.Lwyz0.5*(d(solid.gradUyZ,TIME)-d(solid.gradUzY,TIME))1/sSpin tensor, yz componentDomains 14

solid.Lwz01/sSpin tensor, z componentDomains 14

solid.Ws0.5*((solid.Sl11+solid.Sil11)*solid.eel11+2*(solid.Sl12+solid.Sil12)*solid.eel12+2*(solid.Sl13+solid.Sil13)*solid.eel13+(solid.Sl22+solid.Sil22)*solid.eel22+2*(solid.Sl23+solid.Sil23)*solid.eel23+(solid.Sl33+solid.Sil33)*solid.eel33)J/m^3Elastic strain energy densityDomains 14

solid.Ws_totroot.comp1.solid.lemm1.int1(solid.Ws)JTotal elastic strain energyGlobal

solid.dispsqrt(real(u)^2+real(v)^2+real(w)^2)mTotal displacementDomains 14

solid.SXsolid.Sl11N/m^2Second Piola-Kirchhoff stress, X componentDomains 14

solid.SXYsolid.Sl12N/m^2Second Piola-Kirchhoff stress, XY componentDomains 14

solid.SXZsolid.Sl13N/m^2Second Piola-Kirchhoff stress, XZ componentDomains 14

solid.SYsolid.Sl22N/m^2Second Piola-Kirchhoff stress, Y componentDomains 14

solid.SYZsolid.Sl23N/m^2Second Piola-Kirchhoff stress, YZ componentDomains 14

solid.SZsolid.Sl33N/m^2Second Piola-Kirchhoff stress, Z componentDomains 14

solid.PxXsolid.FdxX*solid.SX+solid.FdxY*solid.SXY+solid.FdxZ*solid.SXZN/m^2First Piola-Kirchhoff stress, xX componentDomains 14

solid.PyXsolid.FdyX*solid.SX+solid.FdyY*solid.SXY+solid.FdyZ*solid.SXZN/m^2First Piola-Kirchhoff stress, yX componentDomains 14

solid.PzXsolid.FdzX*solid.SX+solid.FdzY*solid.SXY+solid.FdzZ*solid.SXZN/m^2First Piola-Kirchhoff stress, zX componentDomains 14

solid.PxYsolid.FdxX*solid.SXY+solid.FdxY*solid.SY+solid.FdxZ*solid.SYZN/m^2First Piola-Kirchhoff stress, xY componentDomains 14

solid.PyYsolid.FdyX*solid.SXY+solid.FdyY*solid.SY+solid.FdyZ*solid.SYZN/m^2First Piola-Kirchhoff stress, yY componentDomains 14

solid.PzYsolid.FdzX*solid.SXY+solid.FdzY*solid.SY+solid.FdzZ*solid.SYZN/m^2First Piola-Kirchhoff stress, zY componentDomains 14

solid.PxZsolid.FdxX*solid.SXZ+solid.FdxY*solid.SYZ+solid.FdxZ*solid.SZN/m^2First Piola-Kirchhoff stress, xZ componentDomains 14

solid.PyZsolid.FdyX*solid.SXZ+solid.FdyY*solid.SYZ+solid.FdyZ*solid.SZN/m^2First Piola-Kirchhoff stress, yZ componentDomains 14

solid.PzZsolid.FdzX*solid.SXZ+solid.FdzY*solid.SYZ+solid.FdzZ*solid.SZN/m^2First Piola-Kirchhoff stress, zZ componentDomains 14

solid.sxsolid.SXN/m^2Stress tensor, x componentDomains 14

solid.sxysolid.SXYN/m^2Stress tensor, xy componentDomains 14

solid.sxzsolid.SXZN/m^2Stress tensor, xz componentDomains 14

solid.sysolid.SYN/m^2Stress tensor, y componentDomains 14

solid.syzsolid.SYZN/m^2Stress tensor, yz componentDomains 14

solid.szsolid.SZN/m^2Stress tensor, z componentDomains 14

solid.sl11solid.Sl11N/m^2Stress tensor, local coordinate system, 11 componentDomains 14






solid.sdevxsolid.sx-(solid.sx+solid.sy+solid.sz)/3N/m^2Deviatoric stress tensor, x componentDomains 14

solid.sdevxysolid.sxyN/m^2Deviatoric stress tensor, xy componentDomains 14

solid.sdevxzsolid.sxzN/m^2Deviatoric stress tensor, xz componentDomains 14

solid.sdevysolid.sy-(solid.sx+solid.sy+solid.sz)/3N/m^2Deviatoric stress tensor, y componentDomains 14

solid.sdevyzsolid.syzN/m^2Deviatoric stress tensor, yz componentDomains 14

solid.sdevzsolid.sz-(solid.sx+solid.sy+solid.sz)/3N/m^2Deviatoric stress tensor, z componentDomains 14

solid.SdevXsolid.SX-(solid.SX+solid.SY+solid.SZ)/3N/m^2Deviatoric second Piola-Kirchhoff stress, X componentDomains 14

solid.SdevXYsolid.SXYN/m^2Deviatoric second Piola-Kirchhoff stress, XY componentDomains 14

solid.SdevXZsolid.SXZN/m^2Deviatoric second Piola-Kirchhoff stress, XZ componentDomains 14

solid.SdevYsolid.SY-(solid.SX+solid.SY+solid.SZ)/3N/m^2Deviatoric second Piola-Kirchhoff stress, Y componentDomains 14

solid.SdevYZsolid.SYZN/m^2Deviatoric second Piola-Kirchhoff stress, YZ componentDomains 14

solid.SdevZsolid.SZ-(solid.SX+solid.SY+solid.SZ)/3N/m^2Deviatoric second Piola-Kirchhoff stress, Z componentDomains 14

solid.I1ssolid.sl11+solid.sl22+solid.sl33N/m^2First principal invariant of stressDomains 14

solid.I2s0.5*(solid.I1s^2-solid.sl11^2-2*solid.sl12^2-2*solid.sl13^2-solid.sl22^2-2*solid.sl23^2-solid.sl33^2)kg^2/(m^2*s^4)Second principal invariant of stressDomains 14

solid.I3ssolid.sl11*solid.sl22*solid.sl33+2*solid.sl12*solid.sl23*solid.sl13-solid.sl11*solid.sl23^2-solid.sl12^2*solid.sl33-solid.sl22*solid.sl13^2kg^3/(m^3*s^6)Third principal invariant of stressDomains 14

solid.II2s0.5*((solid.sl11-(solid.sl11+solid.sl22+solid.sl33)/3)^2+2*solid.sl12^2+2*solid.sl13^2+(solid.sl22-(solid.sl11+solid.sl22+solid.sl33)/3)^2+2*solid.sl23^2+(solid.sl33-(solid.sl11+solid.sl22+solid.sl33)/3)^2)kg^2/(m^2*s^4)Second invariant of stress deviatorDomains 14

solid.II3s(solid.sl11-(solid.sl11+solid.sl22+solid.sl33)/3)*(solid.sl22-(solid.sl11+solid.sl22+solid.sl33)/3)*(solid.sl33-(solid.sl11+solid.sl22+solid.sl33)/3)+2*solid.sl12*solid.sl23*solid.sl13-(solid.sl11-(solid.sl11+solid.sl22+solid.sl33)/3)*solid.sl23^2-solid.sl12^2*(solid.sl33-(solid.sl11+solid.sl22+solid.sl33)/3)-(solid.sl22-(solid.sl11+solid.sl22+solid.sl33)/3)*solid.sl13^2kg^3/(m^3*s^6)Third invariant of stress deviatorDomains 14

solid.thetaLatan2(sqrt(max(0.14814814814814814*solid.II2s^3-solid.II3s^2,eps)),solid.II3s)/3radLode angleDomains 14

solid.eelvolsolid.eel11+solid.eel22+solid.eel331First invariant of elastic strain tensorDomains 14

solid.eeldev11solid.eel11-(solid.eel11+solid.eel22+solid.eel33)/31Deviatoric elastic strain tensor, local coordinate system, 11 componentDomains 14

solid.eeldev12solid.eel121Deviatoric elastic strain tensor, local coordinate system, 12 componentDomains 14





solid.II2eel0.5*((solid.eel11-(solid.eel11+solid.eel22+solid.eel33)/3)^2+2*solid.eel12^2+2*solid.eel13^2+(solid.eel22-(solid.eel11+solid.eel22+solid.eel33)/3)^2+2*solid.eel23^2+(solid.eel33-(solid.eel11+solid.eel22+solid.eel33)/3)^2)1Second invariant of deviatoric elastic strain tensorDomains 14

solid.pm-(solid.sl11+solid.sl22+solid.sl33)/3N/m^2PressureDomains 14

solid.curlUXwY-vZ1Curl of displacement, X componentDomains 14

solid.curlUY-wX+uZ1Curl of displacement, Y componentDomains 14

solid.curlUZvX-uY1Curl of displacement, Z componentDomains 14

solid.mises(3*solid.II2s)^0.5N/m^2von Mises stressDomains 14

solid.trescasolid.sp1-solid.sp3N/m^2Tresca stressDomains 14

solid.RFxreacf(u)NReaction force, x componentDomains 14

solid.RFyreacf(v)NReaction force, y componentDomains 14

solid.RFzreacf(w)NReaction force, z componentDomains 14

solid.RMxsolid.RFz*(y-solid.refpnty)-solid.RFy*(z-solid.refpntz)N*mReaction moment, x componentDomains 14

solid.RMy-solid.RFz*(x-solid.refpntx)+solid.RFx*(z-solid.refpntz)N*mReaction moment, y componentDomains 14

solid.RMzsolid.RFy*(x-solid.refpntx)-solid.RFx*(y-solid.refpnty)N*mReaction moment, z componentDomains 14

solid.Taxsolid.sx*solid.nx+solid.sxy*solid.ny+solid.sxz*solid.nzN/m^2Traction (force/area), x componentBoundaries 125

solid.Taysolid.sxy*solid.nx+solid.sy*solid.ny+solid.syz*solid.nzN/m^2Traction (force/area), y componentBoundaries 125

solid.Tazsolid.sxz*solid.nx+solid.syz*solid.ny+solid.sz*solid.nzN/m^2Traction (force/area), z componentBoundaries 125


uLagrange (Quadratic)mDisplacement field, X componentMaterialDomains 14

vLagrange (Quadratic)mDisplacement field, Y componentMaterialDomains 14

wLagrange (Quadratic)mDisplacement field, Z componentMaterialDomains 14

Weak expressionsWeak expressionIntegration frameSelection

-solid.Sl11*test(solid.el11)-2*solid.Sl12*test(solid.el12)-2*solid.Sl13*test(solid.el13)-solid.Sl22*test(solid.el22)-2*solid.Sl23*test(solid.el23)-solid.Sl33*test(solid.el33)MaterialDomains 14

Free 1

Free 1SelectionGeometric entity levelBoundary

SelectionBoundaries 112, 1425

Initial Values 1

Initial Values 1SelectionGeometric entity levelDomain

SelectionDomains 14


Displacement field{0, 0, 0}

Structural velocity field{0, 0, 0}


solid.uInitx0mInitial value of displacement, x componentDomains 14

solid.uInity0mInitial value of displacement, y componentDomains 14

solid.uInitz0mInitial value of displacement, z componentDomains 14

solid.utInitx0m/sInitial value of structural velocity, x componentDomains 14

solid.utInity0m/sInitial value of structural velocity, y componentDomains 14

solid.utInitz0m/sInitial value of structural velocity, z componentDomains 14

Fixed Constraint 1

Fixed Constraint 1SelectionGeometric entity levelBoundary

SelectionBoundary 13

Equations





-utest(-u)Lagrange (Quadratic)Boundary 13

-vtest(-v)Lagrange (Quadratic)Boundary 13

-wtest(-w)Lagrange (Quadratic)Boundary 13

Mesh 1Mesh statisticsPropertyValue

Minimum element quality0.3899

Average element quality0.3899

Tetrahedral elements30

Triangular elements44

Edge elements28

Vertex elements8

Mesh 1Size (size)SettingsNameValue

Maximum element size2.2E-6

Minimum element size3.96E-7

Curvature factor0.6

Resolution of narrow regions0.5

Maximum element growth rate1.5

Free Tetrahedral 1 (ftet1)SelectionGeometric entity levelDomain

SelectionDomain 3

Free Tetrahedral 1Study 1EigenfrequencyStudy settingsPropertyValue

Include geometric nonlinearityOff

Mesh selectionGeometryMesh

Geometry 1 (geom1)mesh1

Physics selectionPhysicsDiscretization

Moving Mesh (ale)physics

Electrostatics (es)physics

Solid Mechanics (solid)physics

Frequency DomainStudy settingsPropertyValue

Include geometric nonlinearityOff

Frequencies: range(5000,100,15000)Mesh selectionGeometryMesh

Geometry 1 (geom1)mesh1

Physics selectionPhysicsDiscretization

Moving Mesh (ale)physics

Electrostatics (es)physics

Solid Mechanics (solid)physics

Solver ConfigurationsSolver 1Compile Equations: Eigenfrequency (st1)Study and stepNameValue

Use studyStudy 1

Use study stepEigenfrequency

Information 1 (prob1)Warnings 1 (warning1)LogNomeshondomains124ingeometry1,meshcase0.Notalldomainsaremeshed.Dependent Variables 1 (v1)GeneralNameValue

Defined by study stepEigenfrequency

Initial values of variables solved forNameValue

SolutionZero

Values of variables not solved forNameValue

SolutionZero

Spatial coordinates (Material) (comp1.xyz) (comp1_xyz)GeneralNameValue

Field components{x, y, z}

Displacement field (Material) (comp1.u) (comp1_u)GeneralNameValue

Field components{comp1.u, comp1.v, comp1.w}

Electric potential (comp1.V) (comp1_V)GeneralNameValue

Field componentscomp1.V

Eigenvalue Solver 1 (e1)GeneralNameValue

Defined by study stepEigenfrequency

Eigenvalue transformationEigenfrequency

Values of linearization pointNameValue

SolutionZero

LogEigenvalueSolver1inSolver1startedat10-Apr-201411:27:04.EigenvaluesolverNumberofdegreesoffreedomsolvedfor:396.Symmetricmatricesfound.Scalesfordependentvariables:Displacementfield(Material)(comp1.u):5.5e-012Electricpotential(comp1.V):1IterErrEstNconv15.3e-015620linearsystemsolutions.20matrixmultiplications.19re-orthogonalizations.EigenvalueSolver1inSolver1:Solutiontime:1sPhysicalmemory:496MBVirtualmemory:551MBStore Solution 2 (su1)GeneralNameValue

SolutionStore Solution 2

Compile Equations: Frequency Domain (2) (st2)Study and stepNameValue

Use studyStudy 1

Use study stepFrequency Domain

Dependent Variables 2 (v2)GeneralNameValue

Defined by study stepFrequency Domain

Initial values of variables solved forNameValue

MethodSolution

SolutionSolver 1

Values of variables not solved forNameValue

MethodSolution

SolutionSolver 1

Spatial coordinates (Material) (comp1.xyz) (comp1_xyz)GeneralNameValue

Field components{x, y, z}

Displacement field (Material) (comp1.u) (comp1_u)GeneralNameValue

Field components{comp1.u, comp1.v, comp1.w}

Electric potential (comp1.V) (comp1_V)GeneralNameValue

Field componentscomp1.V

Stationary Solver 1 (s1)GeneralNameValue

Defined by study stepFrequency Domain

LogStationarySolver1inSolver1startedat10-Apr-201411:27:09.ParametricsolverSegregatedsolverGroup1doesnothaveanycomponentssolvedfor.Numberofdegreesoffreedomsolvedfor:396.

Parameterfreq=5000.Segregatedsolveriteration1.Substep2,forgroup2.Symmetricmatricesfound.Scalesfordependentvariables:Electricpotential(comp1.V):0.00015IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.00000001021170.000561.1e-007Substep3,forgroup3.Symmetricmatricesfound.Scalesfordependentvariables:Displacementfield(Material)(comp1.u):3.2IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000002.1e+0092119.6e-0102.9e-011Errorestimatesforsegregatedgroups:10,79Segregatedsolveriteration2.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.00000005e-005412150.000141.4e-006Substep3,forgroup3.Scalesfordependentvariables:Displacementfield(Material)(comp1.u):3.5e-010IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000007.7e+0084222.4e-0094.9e-013Errorestimatesforsegregatedgroups:3.6e-010,1.7e-015

Parameterfreq=5100.Segregatedsolveriteration1.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.000000010713220.000561.1e-007Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000002e+0097331.5e-0092.8e-011Errorestimatesforsegregatedgroups:10,79Segregatedsolveriteration2.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.00000005e-005914300.000141.4e-006Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000001.3e+0099441.6e-0094.9e-013Errorestimatesforsegregatedgroups:3.6e-010,1.8e-015

Parameterfreq=5200.Segregatedsolveriteration1.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.0000000101215370.000561.1e-007Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000001.9e+00912553e-0092.7e-011Errorestimatesforsegregatedgroups:10,79Segregatedsolveriteration2.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.00000005e-0051416450.000141.4e-006Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000001.2e+00914662.5e-0094.6e-013Errorestimatesforsegregatedgroups:3.6e-010,2e-015

Parameterfreq=5300.Segregatedsolveriteration1.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.0000000101717520.000561.1e-007Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000001.8e+00917773.7e-0092.5e-011Errorestimatesforsegregatedgroups:10,79Segregatedsolveriteration2.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.00000005e-0051918600.000141.4e-006Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000001.2e+00919881.6e-0095.1e-013Errorestimatesforsegregatedgroups:3.6e-010,2.1e-015




Parameterfreq=5700.Segregatedsolveriteration1.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.000000010371151120.000561.1e-007Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000001.6e+0093715152.5e-0092.8e-011Errorestimatesforsegregatedgroups:10,79Segregatedsolveriteration2.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.00000005e-005391161200.000141.4e-006Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000001e+0093916161.7e-0094.4e-013Errorestimatesforsegregatedgroups:3.6e-010,2.8e-015

Parameterfreq=5800.Segregatedsolveriteration1.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.000000010421171270.000561.1e-007Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000001.5e+0094217172.7e-0092.7e-011Errorestimatesforsegregatedgroups:10,79Segregatedsolveriteration2.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.00000005e-005441181350.000141.4e-006Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000001e+0094418181.9e-0095e-013Errorestimatesforsegregatedgroups:3.6e-010,3e-015




Parameterfreq=6200.Segregatedsolveriteration1.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.000000010621251870.000561.1e-007Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000005.9e+0086225255.3e-0103.1e-011Errorestimatesforsegregatedgroups:10,79Segregatedsolveriteration2.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.00000005e-005641261950.000141.4e-006Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000001.1e+0096426264.7e-0101.1e-012Errorestimatesforsegregatedgroups:3.6e-010,8e-015





Parameterfreq=6700.Segregatedsolveriteration1.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.000000010871352620.000561.1e-007Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000001.2e+0098735351.6e-0093.2e-011Errorestimatesforsegregatedgroups:10,79Segregatedsolveriteration2.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.00000005e-005891362700.000141.4e-006Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000007.8e+0088936361.6e-0094e-013Errorestimatesforsegregatedgroups:3.6e-010,5.2e-015




Parameterfreq=7100.Segregatedsolveriteration1.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.0000000101071433220.000561.1e-007Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000001e+00910743432.8e-0093e-011Errorestimatesforsegregatedgroups:10,79Segregatedsolveriteration2.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.00000005e-0051091443300.000141.4e-006Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000006.9e+00810944447.8e-0105.2e-013Errorestimatesforsegregatedgroups:3.6e-010,6.6e-015


Parameterfreq=7300.Segregatedsolveriteration1.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.0000000101171473520.000561.1e-007Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000009.7e+00811747472.6e-0092.8e-011Errorestimatesforsegregatedgroups:10,79Segregatedsolveriteration2.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.00000005e-0051191483600.000141.4e-006Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000006.5e+00811948484.8e-0095e-013Errorestimatesforsegregatedgroups:3.6e-010,7.4e-015



Parameterfreq=7600.Segregatedsolveriteration1.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.0000000101321533970.000561.1e-007Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000002.3e+00713253531e-0092.5e-011Errorestimatesforsegregatedgroups:10,79Segregatedsolveriteration2.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.00000005e-0051341544050.000141.4e-006Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000002.3e+00713454541.3e-0092.4e-011Errorestimatesforsegregatedgroups:3.6e-010,2.2e-013



Parameterfreq=7900.Segregatedsolveriteration1.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.0000000101471594420.000561.1e-007Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000002.1e+00714759591.2e-0093.2e-011Errorestimatesforsegregatedgroups:10,79Segregatedsolveriteration2.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.00000005e-0051491604500.000141.4e-006Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000002.1e+00714960602e-0092.6e-011Errorestimatesforsegregatedgroups:3.6e-010,2.5e-013


Parameterfreq=8100.Segregatedsolveriteration1.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.0000000101571634720.000561.1e-007Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000002e+00715763634.3e-0092.6e-011Errorestimatesforsegregatedgroups:10,79Segregatedsolveriteration2.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.00000005e-0051591644800.000141.4e-006Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000002e+00715964643.7e-0092.9e-011Errorestimatesforsegregatedgroups:3.6e-010,2.8e-013



Parameterfreq=8400.Segregatedsolveriteration1.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.0000000101721695170.000561.1e-007Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000001.9e+00717269691.9e-0092.8e-011Errorestimatesforsegregatedgroups:10,79Segregatedsolveriteration2.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.00000005e-0051741705250.000141.4e-006Substep3,forgroup3.Scalesfordependentvariables:Displacementfield(Material)(comp1.u):3.6e-008IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000001.9e+00717470706.5e-0102.3e-011Errorestimatesforsegregatedgroups:3.6e-010,3.2e-013


Parameterfreq=8600.Segregatedsolveriteration1.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.0000000101821735470.000561.1e-007Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000001.8e+00718273733.9e-0093e-011Errorestimatesforsegregatedgroups:10,79Segregatedsolveriteration2.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.00000005e-0051841745550.000141.4e-006Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000001.8e+00718474741.5e-0092.6e-011Errorestimatesforsegregatedgroups:3.6e-010,3.5e-013





Parameterfreq=9100.Segregatedsolveriteration1.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.0000000102071836220.000561.1e-007Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000001.6e+00720783831.9e-0093e-011Errorestimatesforsegregatedgroups:10,79Segregatedsolveriteration2.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.00000005e-0052091846300.000141.4e-006Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000001.6e+00720984844.1e-0102.6e-011Errorestimatesforsegregatedgroups:3.6e-010,4.4e-013








Parameterfreq=9900.Segregatedsolveriteration1.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.0000000102471997420.000561.1e-007Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000001.4e+00724799991.9e-0093e-011Errorestimatesforsegregatedgroups:10,79Segregatedsolveriteration2.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.00000005e-00524911007500.000141.4e-006Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000001.4e+0072491001002e-0093e-011Errorestimatesforsegregatedgroups:3.6e-010,6.2e-013

Parameterfreq=10000.Segregatedsolveriteration1.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.00000001025211017570.000561.1e-007Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000001.3e+0072521011012.3e-0092.9e-011Errorestimatesforsegregatedgroups:10,79Segregatedsolveriteration2.Substep2,forgroup2.IterDampingStepsize#Res#Jac#SolLinItLinErrLinRes11.00000005e-00525411027650.000141.4e-006Substep3,forgroup3.IterDampingStepsize#Res#Jac#SolLinErrLinRes11.00000001.3e+0072541021022e-0092.8e-011Errorestimatesforsegregatedgroups:3.6e-010,6.5e-013














Parameterfreq=11400.

mems_pres22

Documents

shapenamevalue size

thermal conductivity

5e11pa murnaghan

order elastic moduli

blk1positionnamevalue

blk3positionnamevalue

blk2positionnamevalue

blk4positionnamevalue