On numerical calculation in symplectic approach for elasticity problems |
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| Authors: | Li Zhao Wei-qiu Chen |
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| Institution: | Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China |
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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.
Project supported by the National Natural Science Foundation of China (Nos. 10725210 and 10432030), the Specialized Research
Fund for the Doctoral Program of Higher Education (No. 20060335107) and the Program for New Century Excellent Talents in University,
MOE, China (No. NCET-05-05010) |
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| Keywords: | Symplectic approach Eigenfunction Numerical stability Elasticity problems |
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