Phononic Band Gaps Shape Mapping Results Resume Parametric Shape Optimization of Lattice Structures for Phononic Band Gaps Fabian Wein and Michael Stingl Friedrich-Alexander-University Erlangen-N¨ urnbeg (FAU) WCSMO-12 2017 Fabian Wein Band Gap Maximization via Shape Mapping
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Parametric Shape Optimization of Lattice Structures for Phononic Band Gaps
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Phononic Band Gaps Shape Mapping Results Resume
Parametric Shape Optimization of Lattice Structuresfor Phononic Band Gaps
Fabian Wein and Michael StinglFriedrich-Alexander-University Erlangen-Nurnbeg (FAU)
WCSMO-12 2017
Fabian Wein Band Gap Maximization via Shape Mapping
Phononic Band Gaps Shape Mapping Results Resume
Motivation: Damping of Elastic Waves in Lattice Structures
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Fabian Wein Band Gap Maximization via Shape Mapping
Phononic Band Gaps Shape Mapping Results Resume
Floquet-Bloch Wave Theory
periodic structure
square symmetry
wave vector k = (kx ,ky )
Hermitian EV problem(K(k)−ω2M
)Φ = 0
ky
kx
G X
M
Γ X M Γ
eig
en
fre
qu
en
cy
wave vector (IBZ)
Fabian Wein Band Gap Maximization via Shape Mapping
Phononic Band Gaps Shape Mapping Results Resume
Floquet-Bloch Wave Theory
periodic structure
square symmetry
wave vector k = (kx ,ky )
Hermitian EV problem(K(k)−ω2M
)Φ = 0
ky
kx
G X
M
Γ X M Γ
eige
nfre
quen
cy
wave vector (IBZ)
Fabian Wein Band Gap Maximization via Shape Mapping
Phononic Band Gaps Shape Mapping Results Resume
Floquet-Bloch Wave Theory
periodic structure
square symmetry
wave vector k = (kx ,ky )
Hermitian EV problem(K(k)−ω2M
)Φ = 0
ky
kx
G X
M
Γ X M Γ
eige
nfre
quen
cy
wave vector (IBZ)
Fabian Wein Band Gap Maximization via Shape Mapping
Phononic Band Gaps Shape Mapping Results Resume
Floquet-Bloch Wave Theory
periodic structure
square symmetry
wave vector k = (kx ,ky )
Hermitian EV problem(K(k)−ω2M
)Φ = 0
ky
kx
G X
M
Γ X M Γ
eige
nfre
quen
cy
wave vector (IBZ)
Fabian Wein Band Gap Maximization via Shape Mapping