Double Symplectic Eigenfunction Expansion Method of Free Vibration of Rectangular Thin Plates

2009 ◽  
Vol 52 (6) ◽  
pp. 1087-1092 ◽  
Author(s):  
Wang Hua ◽  
Alatancang ◽  
Huang Jun-Jie
Keyword(s):  
Free Vibration ◽  
Eigenfunction Expansion ◽  
Expansion Method ◽  
Thin Plates ◽  
Eigenfunction Expansion Method

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.

3-D Eddy Currents Analysis in Orthotropic Materials Using Truncated Region Eigenfunction Expansion Method

2012 ◽  
Vol 239-240 ◽  
pp. 258-263 ◽  
Author(s):  
Yu Jie Bai ◽  
Xiao Zhang Zhang ◽  
Lei Jiang ◽  
Chang Liang Tang
Keyword(s):  
Eigenfunction Expansion ◽  
Eddy Currents ◽  
Separation Of Variables ◽  
Expansion Method ◽  
Orthotropic Materials ◽  
Magnetic Vector Potential ◽  
Magnetic Vector ◽  
Eigenfunction Expansion Method ◽  
Vector Differential Equation ◽  
Good Agreement

A model for 3-D eddy currents analysis in orthotropic materials such as CFRPs is proposed. With artificial magnetic insulation boundary conditions, we solved a vector differential equation which describes the magnetic vector potential in the CFRPs materials with a delta coil near it using the method of separation of variables. As a result of the truncated region eigenfunction expansion method, a series solution was obtained, from which we got the eddy currents distribution. The distribution shows a good agreement with the work by others.

Sign in / Sign up

Export Citation Format

Share Document