On numerical calculation in symplectic approach for elasticity problems

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 separati...

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Bibliographic Details
Published in:Journal of Zhejiang University. A. Science 2008-05, Vol.9 (5), p.583-588
Main Authors: Zhao, Li, Chen, Wei-qiu
Format: Article
Language:English
Subjects:
Civil Engineering
Classical and Continuum Physics
Engineering
Industrial Chemistry/Chemical Engineering
Mechanical Engineering
Science Letters
土力学
数字稳定性
本寨数
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Summary: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.
ISSN:1673-565X
1862-1775
DOI:10.1631/jzus.A0720124