Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (12): 1113-1123.

• 论文 • 上一篇    下一篇

PLANE ELASTICITY IN SECTORIAL DOMAIN ANDTHE HAMILTONIAN SYSTEM

钟万勰   

  1. Dalian University of Technology, Dalian
  • 收稿日期:1993-12-24 出版日期:1994-12-18 发布日期:1994-12-18
  • 基金资助:

    Project supported by the National Natural Science Foundation of China, and Doctorial Program Foundation of the National Commission of Education

PLANE ELASTICITY IN SECTORIAL DOMAIN ANDTHE HAMILTONIAN SYSTEM

Zhong Wan-xie   

  1. Dalian University of Technology, Dalian
  • Received:1993-12-24 Online:1994-12-18 Published:1994-12-18
  • Supported by:

    Project supported by the National Natural Science Foundation of China, and Doctorial Program Foundation of the National Commission of Education

摘要: The governing equations of plane elasticity in sectorial domain are derived to be in Hamiltoinan form via variable substitutes and variationl principles. The method of separation of variables and eigenfunction expansion method are derive to solve the finite element analytically for the sectorial domain elasticity problem. so that such kind of analytical element can be installed into FEM program systems. It demonstrates the potential of the Hamiltonian system theory and symplectic mathematics.

关键词: nonlinear vibration, thermoelastic vibration, circular plate

Abstract: The governing equations of plane elasticity in sectorial domain are derived to be in Hamiltoinan form via variable substitutes and variationl principles. The method of separation of variables and eigenfunction expansion method are derive to solve the finite element analytically for the sectorial domain elasticity problem. so that such kind of analytical element can be installed into FEM program systems. It demonstrates the potential of the Hamiltonian system theory and symplectic mathematics.

Key words: nonlinear vibration, thermoelastic vibration, circular plate

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