Science Letters:On numerical calculation in symplectic approach for elasticity problems  

作　　者：Li ZHAO Wei-qiu CHEN 

机构地区：[1]Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China

出　　处：《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》2008年第5期583-588,共6页浙江大学学报（英文版）A辑（应用物理与工程）

基　　金：the National Natural Science Foundation of China (Nos. 10725210 and 10432030); the Specialized Research Fund for the Doctoral Program of Higher Education (No. 20060335107);the Program for New Century Excellent Talents in University, MOE, China (No. NCET-05-05010)

摘　　要：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.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.

关 键 词：Symplectic approach EIGENFUNCTION Numerical stability Elasticity problems 

分 类 号：TU4[建筑科学—土工工程]