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Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (12): 1401-1406.

• 论文 • 上一篇    下一篇

THE VARIATIONAL PRINCIPLES AND APPLICATION OF NONLINEAR NUMERICAL MANIFOLD METHOD

骆少明, 张湘伟, 蔡永昌   

  1. Mechatronic Engineering Department, Engineering College, Shantou University, Shantou 515063, P. R. China
  • 收稿日期:2000-03-09 修回日期:2000-08-29 出版日期:2000-12-18 发布日期:2000-12-18
  • 基金资助:

    the Natural Science Foundation of Guangdong Province(994396)

THE VARIATIONAL PRINCIPLES AND APPLICATION OF NONLINEAR NUMERICAL MANIFOLD METHOD

LUO Shao-ming, ZHANG Xiang-wei, CAI Yong-chang   

  1. Mechatronic Engineering Department, Engineering College, Shantou University, Shantou 515063, P. R. China
  • Received:2000-03-09 Revised:2000-08-29 Online:2000-12-18 Published:2000-12-18
  • Supported by:

    the Natural Science Foundation of Guangdong Province(994396)

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401

被引次数

13

摘要： The physical-cover-oriented variational principle of nonlinear numerical manifold method(NNMM) for the analysis of plastical problems is put forward according to the displacement model and the characters of numerical manifold method (NMM). The theoretical calculating formulations and the controlling equation of NNMM are derived. As an example, the plate with a hole in the center is calcaulated and the results show that the solution precision and efficiency of NNMM are agreeable.

Abstract: The physical-cover-oriented variational principle of nonlinear numerical manifold method(NNMM) for the analysis of plastical problems is put forward according to the displacement model and the characters of numerical manifold method (NMM). The theoretical calculating formulations and the controlling equation of NNMM are derived. As an example, the plate with a hole in the center is calcaulated and the results show that the solution precision and efficiency of NNMM are agreeable.

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