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MATLAB Functions in CD-ROM The book Stress, Strain, and
Structural Dynamics has an attached CD-ROM that contains 16
toolboxes of MATLAB functions for interactive computing in
engineering analysis, one for each chapter of the book. These
toolboxes are
Toolbox for Chapter 2 Static Analysis of Euler-Bernoulli Beams
Toolbox for Chapter 3 Static Analysis of Bars, Shafts and Strings
Toolbox for Chapter 4 Buckling Analysis of Columns Toolbox for
Chapter 5 Stress Analysis in Two-Dimensional Problems Toolbox for
Chapter 6 Static Analysis of Constrained Multispan Beams Toolbox
for Chapter 7 Static Analysis of Plane Trusses Toolbox for Chapter
8 Static Analysis of Plane Frames Toolbox for Chapter 9 Dynamics of
Particles and Rigid Bodies Toolbox for Chapter 10 Vibration
Analysis of One-Degree-of-Freedom Systems Toolbox for Chapter 11
Vibration and Control of Multiple-Degree-of-Freedom Systems Toolbox
for Chapter 12 Dynamics and Control of Euler-Bernoulli Beams
Toolbox for Chapter 13 Dynamic Analysis of Bars, Shafts, and
Strings Toolbox for Chapter 14 Dynamic Analysis of Constrained,
Combined, and Stepped
Beams Toolbox for Chapter 15 Static Analysis of Linearly Elastic
Bodies Toolbox for Chapter 16 Free Vibration of Membranes and
Plates Toolbox for Appendix A.12 Inverse Laplace Transform via
Partial Fraction Expansion
The main functions contained these toolboxes given in the
following pages.
1
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Toolbox for Chapter 2 Static Analysis of Euler-Bernoulli
Beams
System Setup
setbeam Set up beam parameters and boundary conditions Window
3.1
Static Analysis of Beams
beamf Compute beam response to external loads Window 3.2 beamb
Compute beam response to boundary disturbances Window 3.4 mathf
Obtain exact analytical expressions of beam response subject
to an external load Window 3.5
mathb Obtain exact analytical expressions of beam response
subject to boundary disturbances
Window 3.6
maxresp Determine maximum beam response and location Window 3.7
reactf Obtain reaction forces at beam boundaries Window 3.8
plotbeam Plot spatial distribution of beam response Window 3.3
minertia Compute moments of inertia of beam cross section area
Window 4.1
Utilities
systinfo Display beam parameters and boundary conditions Window
3.9 setxpt setxpt1
Select or reset spatial points for computation
Window 3.10
getxpt Get access to spatial points that are set up for
computation Window 3.11TBdemo Show how the Toolbox works and what
it can do Section 2.1 TBinfo Display the information of the Toolbox
Section 2.1 RunEx Run all the numerical examples contained in this
chapter Section 2.1 The main functions contained these toolboxes
given in the following pages. For demonstrative example of what
these functions can do click the button Demo Examples in the home
page.
2
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Toolbox for Chapter 3 Static Analysis of Bars, Shafts and
Strings
System Setup
setbar Set up parameters and boundary conditions for a bar
Window 3.1 setshaft Set up parameters and boundary conditions for a
shaft Window 3.1 setstring Set up parameters and boundary
conditions for a string Window 3.1
Static Analysis
force2os Compute system response subject to external loads
Window 3.2 bd2os Compute system response due to boundary
disturbances Window 3.3 plot2os Plot spatial distribution of system
response, and output
computed response data Window 3.4
Stepped Bars and Shafts
setbar2 Set up a stepped bar Window 4.1 setshaft2 Set up a
stepped shaft Window 4.1 step2osfb Compute the response of a
stepped bar or stepped shaft subject
to external loads and/or boundary disturbances Window 4.2
plot2os2 Plot spatial distribution of the response of a stepped
bar or shaft, and output computed response data
Window 4.3
Utilities
TBdemo Show how the Toolbox works and what it can do Section 3.1
TBinfo Show the information of the Toolbox Section 3.1 RunEx Run
all the numerical examples contained in this chapter Section 3.1
systinfo systinfo2
Display system parameters and boundary conditions Sections 3.3.1
& 3.4.2
The main functions contained these toolboxes given in the
following pages. For demonstrative example of what these functions
can do click the button Demo Examples in the home page.
3
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Toolbox for Chapter 4 Buckling Analysis of Columns
Uniform Columns
setcolumn Compute the buckling loads and mode shapes of a
uniform column
Window 2.1
eigcolumn Determine buckling loads and mode shapes Window 2.2
plotmsh Plot and output buckling mode shapes Window 2.3 eccenload
Compute the response of an eccentrically loaded column at a
point versus the axial load Window 2.4
eccenload1 Compute the spatial distribution of the response of
an eccentrically loaded column
Window 2.5
beamcolumn Compute the spatial distribution of the response of a
beam-column subject to a transverse load
Window 2.6
beamcolumn1 Compute the response of a beam-column at a
particular point versus the axial load
Window 2.7
systinfo Display the information on the column and its
eigensolutions Section 4.2.2
Stepped and Nonuniform Columns
setcolumn2 Compute the buckling loads and mode shapes of a
constrained stepped column
Window 3.1
plotmsh2 Plot and output buckling mode shapes Window 3.2
nonucolumn Compute the buckling loads and mode shapes of a
nonuniform
column Window 3.3
systinfo2 Display the information of a stepped or nonuniform
column Section 4.3
Utilities
TBdemo Show how the Toolbox works and what it can do Section 4.1
TBinfo Show the information of the functions in the Toolbox Section
4.1 RunEx Run all the numerical examples contained in this chapter
Section 4.1 The main functions contained these toolboxes given in
the following pages. For demonstrative example of what these
functions can do click the button Demo Examples in the home
page.
4
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Toolbox for Chapter 5 Stress Analysis in Two-Dimensional
Problems
Stress
stressTF Transform stress components from an element to another
of different orientation
Window 2.1
pristress Compute principal stresses and maximum in-plane shear
stress, and plot Mohrs circle for plane stress
Window 2.2
Strain
strainTF Transform strain components from an element to another
of different orientation
Window 2.3
pristrain Compute principal strains and maximum in-plane shear
strain, and plot Mohrs circle for plane strain
Window 2.4
strgauges Determine strain components based on the readings from
a set of three strain gauges
Window 2.5
Material Properties
hooks2e Compute strain components based on Hookes law Window 2.6
hooke2s Compute stress components based on Hookes law Window 2.6
failure2D Tell if a material under a given state of in-plane stress
will fail,
based on one of three commonly used criteria of failure Window
2.7
Utilities
TBdemo Show how the Toolbox works and what it can do Section 5.1
TBinfo Show the information of the Toolbox Section 5.1 RunEx Run
all the numerical examples contained in this chapter Section 5.1
The main functions contained these toolboxes given in the following
pages. For demonstrative example of what these functions can do
click the button Demo Examples in the home page.
5
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Toolbox for Chapter 6 Static Analysis of Constrained Multispan
Beams
System Setup
setbeam2 Set up beam parameters, boundary conditions and
constraints Window 3.1
Static Analysis of Beams
Compute beam response subject to external loads Window 3.2
Compute beam response due to boundary disturbances Window
3.3
Compute beam response due to support settlements Window 3.4
beam2fbs
Compute total response due external and boundary disturbances
and support settlement
Window 3.5
plotbeam2 Plot spatial distribution of beam response Window
3.6
infline Plot influence lines for response at a specific point
Window 3.7
inflreact Plot influence lines for reactions at a support or
node Window 3.8
Utilities
systinfo Display the information of a multispan beam Section
6.3.1
TBdemo Show how the Toolbox works and what it can do Section
6.1
TBinfo Show the information of the Toolbox Section 6.1
RunEx Run all the numerical examples contained in this chapter
Section 6.1 The main functions contained these toolboxes given in
the following pages. For demonstrative example of what these
functions can do click the button Demo Examples in the home
page.
6
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Toolbox for Chapter 7 Static Analysis of Plane Trusses
Static Analysis of Trusses
settruss Set up parameters and boundary conditions of a truss
Window 3.1
Compute truss response subject to external loads Window 3.2
Compute truss response due to support settlement Window 3.3
Compute truss response due to fabrication errors Window 3.4
Compute truss response due to thermal effects Window 3.5
trussresp
Compute the total response of a truss Window 3.6
plottruss Display the undeformed and deformed configurations of
a truss Window 3.7
Utilities
systinfo Display truss parameters and boundary conditions
Section 7.3.1
TBdemo Show how the Toolbox works and what it can do Section
7.1
TBinfo Show the information of the Toolbox Section 7.1
RunEx Run all the numerical examples contained in this chapter
Section 7.1 The main functions contained these toolboxes given in
the following pages. For demonstrative example of what these
functions can do click the button Demo Examples in the home
page.
7
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Toolbox for Chapter 8 Static Analysis of Plane Frames
Static Analysis of Frames
setframe Set up parameters and boundary conditions of a frame
Window 3.1
frameresp Compute frame response subject to external loads
Window 3.2
Compute frame response due to support settlement Window 3.3
Compute the total response of a frame Window 3.4
maxresp Obtain maximum response of a frame and locations Window
3.5
reactf Obtain reactions at supports Window 3.6
plotframe Plot undeformed and deformed configurations of a frame
Window 3.7
membresp Compute response of frame members Window 3.8
plotmember Plot response along a frame member, and show response
at the two ends of the member
Window 3.9
Utilities
systinfo Display frame parameters and boundary conditions Window
3.1
TBdemo Show how the Toolbox works and what it can do Section
8.1
TBinfo Show the information of the Toolbox Section 8.1
RunEx Run all the numerical examples contained in this chapter
Section 8.1 The main functions contained these toolboxes given in
the following pages. For demonstrative example of what these
functions can do click the button Demo Examples in the home
page.
8
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Toolbox for Chapter 9 Dynamics of Particles and Rigid Bodies
Dynamics of Particles
resultant Compute resultant force and moment of a system of
forces Window 2.1 part2d Simulate the motion for a particle in two
dimensions Window 2.2 part3d Simulate the motion for a particle in
three dimensions Window 2.2 partmotion Animate the motion of a
particle in two or three dimensions Window 2.3 mscenter Compute
total mass and mass center of a particle system Window 2.4
Rigid Body Dynamics in Two Dimensions
massmin Compute mass moments of inertia of a rigid body Window
3.1 rigid2d Plot dynamic response of a rigid body in plane motion
Window 3.2 animotion2d Animate the two-dimensional motion of a
rigid body Window 3.3
Rigid Body Dynamics in Three Dimensions
inertiaTF Transform the moments and products of inertia from one
coordinate system to another
Window 4.1
prinertia Determine the principal axes and principal moments of
inertia of a rigid body
Window 4.2
axisym3d Plot Euler angles and angular velocities of an
axisymmetric rigid body
Window 4.3
eulermotion Animate the motion of an axisymmetric rigid body by
using Euler angles
Window 4.4
Utilities
TBdemo Show how the Toolbox works Section 9.1 TBinfo List MATLAB
functions contained in this Toolbox Section 9.1 RunEx Run all the
numerical examples contained in this chapter Section 9.1 The main
functions contained these toolboxes given in the following pages.
For demonstrative example of what these functions can do click the
button Demo Examples in the home page.
9
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Toolbox for Chapter 10 Vibration Analysis of
One-Degree-of-Freedom Systems
System Setup set1dof Input system parameters (m, c, k) Window
2.1 set1dof2 Input system parameters ( , ,n m) Window 2.1
Time Response freevib Compute and display free response Window
3.1 forcedvib Compute and display forced response Window 3.2
stepchract Compute maximum overshoot, rise time and settling time
of
step response of an underdamped system Section 10.3.3
compltvib Plot total response due to both initial and external
disturbances Window 3.9 energy Compute and display mechanical
energy function Window 3.11 stepcharact Compute characteristic
parameters of step response Section 10.3.3plotvib Plot time
response Window 3.12 getpts Get times of simulation Window 3.13
Analytical Vibration Solutions forcedANL Obtain analytical
expressions of forced response Window 4.1 plotANL Plot forced
response by exact analytical solutions Window 4.2
Frequency Response harmonic Plot frequency response to a
harmonic excitation Window 5.1 plotfr Plot frequency response from
computed data Window 5.2 normhar Plot normalized frequency response
Window 5.3 transm Plot force or displacement transmissibility due
to harmonic
excitation Window 5.4
basevib Plot frequency response to a harmonic base excitation
Window 5.5 unbalance Plot the frequency response of a rotating
machine with an
unbalanced mass Window 5.6
isolator Design the parameters of a vibration isolator Window
5.7 Response to Periodic Excitations
periodic Plot steady-state response to a periodic excitation
Window 6.1 fseries Obtain the Fourier series for a periodic forcing
function Window 6.2
Nonlinear Vibration setNL Specify a 1-DOF nonlinear vibration
system Window 7.1 NLvib Obtain numerical solution of nonlinear
vibration Window 7.2
Utilities TBdemo Show how the Toolbox works and what it can do
Section 10.1 TBinfo Show the information of the Toolbox Section
10.1 RunEx Run all the numerical examples contained in this chapter
Section 10.1 systinfo Display system information and step response
specifications Window 2.1
10
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Toolbox for Chapter 11 Vibration and Control of
Multiple-Degree-of-Freedom Systems
System Setup setmdof Input matrices [M], [C] and [K], and
compute eigensolutions Window 2.1
Modes of Vibration animode Animate vibration in a particular
mode Window 2.3 chareq Obtain characteristic equation ( )2[ ] [ ] [
] 0s M s C Kdet + + = Section 11.2.3 geteig Output eigensolutions
computed by function setmdof Window 2.2
Time Response freeMD Obtain free response by modal analysis
Window 3.1 forcedMD Obtain forced response by modal analysis Window
3.2 freeLT Obtain free response by inverse Laplace transform Window
3.3 forcedLT Obtain forced response by inverse Laplace transform
Window 3.4 freeRK Compute free response by Runge-Kutta algorithm
Window 3.6 forcedRK Compute forced response by Runge-Kutta
algorithm Window 3.7 respCV Compute system response based on
analytical expressions
obtained by freeMD, forcedMD, freeLT, and forcedLT Window
3.5
plotvib Plot time response obtained by functions freeRK,
forcedRK, respCV, ctrmdof1 and ctrmdof2
Window 3.8
Frequency Response frfun Obtain frequency response (magnitude
and phase) Window 3.9 plotfr Plot frequency response Window
3.10
Dynamic Vibration Absorption
absorb Characterize the dynamic behaviors of a vibrating system
combined with an undamped vibration absorber
Window 4.1
absorbdmp Plot the steady-state response of a vibrating system
combined with a damped vibration absorber
Window 4.2
absorbmsratio Obtain a range of mass ratio for vibration
absorber design Window 4.3 absorbopt Optimally tune a damped
absorber Window 4.4
Transfer Function and Greens Function
getTF Obtain transfer function ( ) 12( ) [ ] [ ] [ ] [ ]fH s s M
s C K B= + + Window 5.1 getGF Obtain Greens function [ ]1( ) ( ) [
]fG t H s B=L Window 5.2 pzTF Compute transfer function poles and
zeros Window 5.3
Vibration Control System ssmdof1 Obtain a state representation
for vibration control of a
mechanical system Window 6.1
11
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clpmdof1 Obtain the closed-loop state equation for vibration
control Window 6.2 ctrmdof1 Plot the response of a vibration
control system Window 6.4
Position Control System ssmdof2 Obtain a state representation
for position control of a
mechanical system Window 6.1
clpmdof2 Obtain the closed-loop state equation for position
control Window 6.3 ctrmdof2 Plot the response of a position control
system Window 6.5
Utilities
systinfo Display information on system parameters and
eigensolutions Section 11.2.3
TBdemo Demonstrate how the Toolbox works and what it can do
Section 11.1 TBinfo Show the solution procedure of the Toolbox
Section 11.1 RunEx Run all the numerical examples contained in this
chapter Section 11.1
The main functions contained these toolboxes given in the
following pages. For demonstrative example of what these functions
can do click the button Demo Examples in the home page.
12
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Toolbox for Chapter 12 Dynamics and Control of Euler-Bernoulli
Beams
System Setup
setbeam Set up a uniform beam and compute its natural
frequencies and mode shapes
Window 2.1
setdamp Specify or reset damping in a beam Window 3.2 systinfo
Display the parameters, boundary conditions, damping status,
natural frequencies and mode shapes of a beam Section 12.2.3
Eigensolutions
eigenbeam Determine eigenvalues and normalized eigenfunctions of
a beam
Window 2.2
plotmsh Plot mode shape of a beam Window 2.3 nodalpts Determine
the nodal points of an eigenfunction (mode shape) Window 2.4
animode Animate a mode of vibration of a beam Window 2.5
Dynamic Response
freebeam freebeam1
Compute and display free response of a beam Window 3.3
forcedbeam forcedbeam1
Compute and display forced response of a beam Window 3.4
plotbeam Plot time response of a beam at a spatial point Window
3.6 plotbeam1 Plot spatial distribution of beam response at a
specific time Window 3.6 beammovie Animate time response of a beam
Window 3.7 frfbeam Plot the magnitude and phase of steady-state
response of a
beam subject to a pointwise sinusoidal force
Window 3.8
Feedback Control
tfbeam Obtain the open-loop transfer function of a beam with a
pair of sensor and actuator
Window 4.1
ssbeam Obtain a state representation for a beam Window 4.2
clpbeam Obtain the closed-loop state equation for a beam under
feedback control Window 4.3
contrbeam Compute the response of a beam with or without
feedback control by a Runge-Kutta algorithm
Window 4.4
Nonuniform Beams
nonubeam Set up a nonuniform beam and compute its natural
frequencies and mode shapes
Window 5.1
systinfo2 Display the parameters, boundary conditions, damping
status, natural frequencies and mode shapes of a nonuniform
beam
Section 12.5
plotmsh2 Plot mode shape of a beam Window 5.2 animode2 Animate a
mode of vibration Window 5.3 getmkb0 Create a discretized model for
a beam Window 5.4 respnubeam Plot time response of a nonuniform
beam Window 5.5 nubmovie Play animated vibration of a beam Window
5.6
13
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tfbeam2 Create the transfer function of a nonuniform beam under
a pair of sensor and actuator
Window 5.7
ssbeam2 Create a state-space representation of a nonuniform beam
under multiple sensors and actuators
Window 5.8
Utilities
TBdemo Show how the Toolbox works and what it can do Section
12.1 TBinfo Display the information about this Toolbox Section 12.1
RunEx Run all the numerical examples contained in this chapter
Section 12.1
The main functions contained these toolboxes given in the
following pages. For demonstrative example of what these functions
can do click the button Demo Examples in the home page.
14
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Toolbox for Chapter 13 Dynamic Analysis of Bars, Shafts, and
Strings
System Setup
setbar Set up a bar and compute its eigensolutions Window 2.1
setshaft Set up a shaft and compute its eigensolutions Window 2.1
setstring Set up a string and compute its eigensolutions Window 2.1
systinfo Display the information on system parameters, boundary
conditions, and eigensolutions Section 13.2.3
Eigensolutions
eigen2os Determine eigenvalues and normalized eigenfunctions
Window 2.2 nodalpts Determine the nodal points of eigenfunctions
Window 2.3 plotmsh Plot spatial distribution of eigenfunctions
Window 2.4 animode Animate modes of vibration Window 2.5
Dynamic Response
free2os free2os1
Plot the free vibration of a second-order system Window 3.1
forced2os forced2os1
Plot the forced vibration of a second-order system Window
3.2
frf2os Plot the frequency response of a second-order system
Window 3.5 movie2os Animate time response due to external and
initial disturbances Window 3.4
Free Vibration of Stepped Systems
setbar2 Set up a stepped bar and compute its eigensolutions
Window 4.1 setshaft2 Set up a stepped shaft and compute its
eigensolutions Window 4.1 setstring2 Set up a stepped string and
compute its eigensolutions Window 4.1 systinfo2 Display the
information on system parameters, boundary
conditions, and eigensolutions Section 13.4.3
plotmsh2 Plot spatial distribution of eigenfunctions of a
stepped system Window 4.2 eigenstep2 Obtain eigenfunctions of a
stepped system Window 4.3 animode2 Animate modes of vibration for a
stepped system Window 4.4
Utilities
TBdemo Show how the Toolbox works and what it can do Section
13.1 TBinfo Show the information of the functions in the Toolbox
Section 13.1 RunEx Run all numerical examples in this chapter
Section 13.1 The main functions contained these toolboxes given in
the following pages. For demonstrative example of what these
functions can do click the button Demo Examples in the home
page.
15
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Toolbox for Chapter 14 Dynamic Analysis of Constrained,
Combined, and Stepped Beams
Constrained Beams
setbeam Set up a constrained beam and compute its eigensolutions
Window 2.1 systinfo Display system information and eigensolutions
Section
14.2.2 plotmsh Plot mode shape distribution along beam length
Window 2.2 animode Play animated beam response in a mode of
vibration Window 2.3 eiglocus Plot eigenvalue loci of a beam versus
a constraint parameter Window 2.4 frfbeam Plot the steady-state
displacement of a constrained beam
subject to a pointwise sinusoidal force Window 2.5
Combined Beams
setbeam2 Set up a combined beam and compute its eigensolutions
Window 3.1 systinfo Display system information and eigensolutions
Section
14.3.2 plotmsh Plot mode shape distribution along beam length
Window 2.2 animode Play beam response in a mode of vibration Window
2.3 trbeam2 Plot the time history of the transient displacement of
a
combined beam subject to external and initial disturbances
Window 3.2
trbeam2s Plot the spatial distribution of the transient
displacement of a combined beam at a specific time
Window 3.3
beammovie2 Animate transient vibration of combined beam Window
3.4 frfbeam2 Plot the steady-state response of a combined beam
subject to a
pointwise sinusoidal force Window 3.5
Stepped Beams
setbeam3 Set up a stepped beam and compute its eigensolutions
Window 4.1 systinfo3 Display system information and eigensolutions
Section
14.4.2 plotmsh3 Plot mode shape distribution along beam length
Window 4.2 animode3 Play animated beam response in a mode of
vibration Window 4.3
Utilities
TBdemo To show how The toolbox works and what it can do Section
14.1 TBinfo To show the information of the Toolbox Section 14.1
RunEx Run all the numerical examples contained in this chapter
Section 14.1 The main functions contained these toolboxes given in
the following pages. For demonstrative example of what these
functions can do click the button Demo Examples in the home
page.
16
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Toolbox for Chapter 15 Static Analysis of Linearly Elastic
Bodies
Stress and Strain
pristress3 Compute principal stresses and principal axes in
three dimensions
Window 2.1
pristrain3 Compute principal strains and principal axes in three
dimensions
Window 2.2
Generalized Hookes Law
hks2e Compute strain components based on Hookes law Window 2.3
hke2s Compute stress components based on Hookes law Window 2.3
elaconst Compute the values of elastic constants Window 2.4
Finite Element Analysis of Two-Dimensional Bodies
Rectangular Regions setrectan Set up a finite element mesh for a
rectangular elastic body Window 4.1 setconstr Change or remove
pointwise constraints Window 4.2 resprectan Compute the static
response of a rectangular elastic body Window 4.3 eleminfo Display
the information of a selected element Window 4.4 nodeinfo Display
the information at a selected node Window 4.5 plotmesh Plot the
mesh of undeformed or deformed configuration Window 4.6 plotgln
Plot static response of the body along a grid line Window 4.7 getKg
Obtain global stiffness matrix Window 4.8 dispFE Display the
information of a rectangular elastic body Section 15.4.2
Regions of Arbitrary Shapes setabody Set up a finite element
mesh for an arbitrary-shaped body Window 4.9 setbnd Set up boundary
conditions Window 4.10 respabody Compute the static response of a
body Window 4.11 getmesh Obtain a finite element mesh for certain
regions Window 4.12 eleminfo Display the information on a selected
element Window 4.4 nodeinfo Display the information at a selected
node Window 4.5 plotmesh2 Plot the mesh for undeformed or deformed
configuration Window 4.6 getKg Obtain global stiffness matrix
Window 4.8 dispFE2 Display the information of a body of arbitrary
shape Section 15.4.3
Utilities
TBdemo Show how the Toolbox works and what it can do Section
15.1 TBinfo Show the information of the Toolbox Section 15.1 RunEx
Run all the numerical examples contained in this chapter Section
15.1 The main functions contained these toolboxes given in the
following pages. For demonstrative example of what these functions
can do click the button Demo Examples in the home page.
17
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Toolbox for Chapter 16 Free Vibration of Membranes and
Plates
Free Vibration of Membranes
recmemb Compute eigensolutions of a rectangular membrane Window
2.1 plotmsh1 Plot mode shapes of a rectangular membrane Window 2.2
animode1 Animate modes of vibration of a rectangular membrane
Window 2.3 cirmemb Compute eigensolutions of a circular membrane
Window 2.4 plotmsh2 Plot mode shapes of a circular membrane Window
2.5 animode2 Animate modes of vibration of a circular membrane
Window 2.6
Free Vibration of Rectangular Plates --- Navier and Lvy
Solutions
recplateLV Compute Navier- or Lvy-type eigensolutions of a
rectangular plate with at least two opposite edges simply
supported
Window 3.1
plotmsh3 Plot mode shapes of a rectangular plate Window 2.2
animode3 Animate modes of vibration of a rectangular plate Window
2.3
Free Vibration of Rectangular Plates --- Finite Element
Solutions
recplateFE Compute eigensolutions of a rectangular plate with
general boundary conditions
Window 3.2
plotmsh3f Plot mode shapes of a rectangular plate Window 3.3
animode3f Animate modes of vibration of a rectangular plate Window
3.4
Free Vibration of Circular Plates
cirplate Compute eigensolutions of a circular plate Window 4.1
plotmsh4 Plot mode shapes of a circular plate Window 2.5 animode4
Animate modes of vibration of a circular plate Window 2.6
Utilities
systinfo Display the information and eigensolutions of a
membrane or plate
Sections 16.2.1, 16.2.2, 16.3.3, 16.4.2
TBdemo Show how the Toolbox works and what it can do Section
16.1 TBinfo Show the information of the functions in the Toolbox
Section 16.1 RunEx Run all the numerical examples contained in this
chapter Section 16.1 The main functions contained these toolboxes
given in the following pages. For demonstrative example of what
these functions can do click the button Demo Examples in the home
page.
18
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Toolbox for Appendix A.12 Inverse Laplace Transform via Partial
Fraction Expansion
Free Vibration of Membranes
pfe Obtain the partial fraction expansion of a rational function
Window A.1 invLT Obtain the inverse Laplace transform of a rational
function Window A.2 plotLT Plot inverse-Laplace-transformed
function versus time Window A.3 The main functions contained these
toolboxes given in the following pages. For demonstrative example
of what these functions can do click the button Demo Examples in
the home page.
19
StressStrainMaterial PropertiesUtilities
Dynamics of ParticlesRigid Body Dynamics in Two Dimensions
Rigid Body Dynamics in Three DimensionsUtilitiesStress and
StrainGeneralized Hookes LawFinite Element Analysis of
Two-Dimensional BodiesRectangular RegionsRegions of Arbitrary
Shapes
Utilities