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CLC number: TU4

On-line Access: 2008-04-11

Received: 2007-12-20

Revision Accepted: 2008-04-01

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Journal of Zhejiang University SCIENCE A 2008 Vol.9 No.5 P.583-588

http://doi.org/10.1631/jzus.A0720124


On numerical calculation in symplectic approach for elasticity problems


Author(s):  Li ZHAO, Wei-qiu CHEN

Affiliation(s):  Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China

Corresponding email(s):   chenwq@zju.edu.cn

Key Words:  Symplectic approach, Eigenfunction, Numerical stability, Elasticity problems


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Li ZHAO, Wei-qiu CHEN. On numerical calculation in symplectic approach for elasticity problems[J]. Journal of Zhejiang University Science A, 2008, 9(5): 583-588.

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%DOI 10.1631/jzus.A0720124

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T1 - On numerical calculation in symplectic approach for elasticity problems
A1 - Li ZHAO
A1 - Wei-qiu CHEN
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Abstract: 
The symplectic approach proposed and developed by Zhong et al. in 1990s for elasticity problems is a rational analytical method, in which ample experience is not needed as in the conventional semi-inverse method. In the symplectic space, elasticity problems can be solved using the method of separation of variables along with the eigenfunction expansion technique, as in traditional Fourier analysis. The eigensolutions include those corresponding to zero and nonzero eigenvalues. The latter group can be further divided into α- and β-sets. This paper reformulates the form of β-set eigensolutions to achieve the stability of numerical calculation, which is very important to obtain accurate results within the symplectic frame. An example is finally given and numerical results are compared and discussed.

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