Validity Test of the Eigenfunction Expansion Method in the Transient Wave Propagation Simulation

2007 ◽  
Author(s):  
Hailun He ◽  
Shuang Li ◽  
Jinbao Song
Keyword(s):  
Wave Propagation ◽  
Eigenfunction Expansion ◽  
Expansion Method ◽  
Transient Wave ◽  
Validity Test ◽  
Eigenfunction Expansion Method ◽  
Transient Wave Propagation

The Quasi-Static Analysis for Two-Dimensional Thin Plates

2011 ◽  
Vol 255-260 ◽  
pp. 166-169
Author(s):  
Li Chen ◽  
Yang Bai
Keyword(s):  
Boundary Conditions ◽  
Eigenfunction Expansion ◽  
Solution Space ◽  
Expansion Method ◽  
Fundamental Solutions ◽  
Thin Plates ◽  
Elastic Plates ◽  
Various Boundary Conditions ◽  
Eigenfunction Expansion Method ◽  
Concentration Phenomena

The eigenfunction expansion method is introduced into the numerical calculations of elastic plates. Based on the variational method, all the fundamental solutions of the governing equations are obtained directly. Using eigenfunction expansion method, various boundary conditions can be conveniently described by the combination of the eigenfunctions due to the completeness of the solution space. The coefficients of the combination are determined by the boundary conditions. In the numerical example, the stress concentration phenomena produced by the restriction of displacement conditions is discussed in detail.

Transient wave propagation in Cosserat-type shells

2019 ◽  
Vol 163 ◽  
pp. 145-149
Author(s):  
Yury A. Rossikhin ◽  
Marina V. Shitikova
Keyword(s):  
Wave Propagation ◽  
Transient Wave ◽  
Transient Wave Propagation
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