Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (9): 829-834.

• 论文 • 上一篇    下一篇

ISOTROPICALIZED SPLINE INTEGRAL EQUATION METHOD FOR THE ANALYSIS OF ANISOTROPIC PLATES

王有成, 王左辉   

  1. Hefei University of Technology, Hefei
  • 收稿日期:1989-07-07 出版日期:1990-09-18 发布日期:1990-09-18
  • 基金资助:
    National Natural Science Foundation of China

ISOTROPICALIZED SPLINE INTEGRAL EQUATION METHOD FOR THE ANALYSIS OF ANISOTROPIC PLATES

Wang You-cheng, Wang Zuo-hui   

  1. Hefei University of Technology, Hefei
  • Received:1989-07-07 Online:1990-09-18 Published:1990-09-18
  • Supported by:
    National Natural Science Foundation of China

摘要: In the view of Reissner's and Kirchhoff's theories, respectively, we formulate the isotropicalized governing equations for the anisotropic plates, and give the proof of the equivalence relation between these two plate-models for the simply-supported rectangular orthotropic plates. The well-known fundamental solutions of the isotrqpic plates are utlized for the spline integral equation analysis of anisotropic plates.Even with sparse meshes the satisfactory results can be obtained. The analysis of plates on two-parameter elastic foundation is so simple as the common case that only a few terms should be added to the formulas of fictitious loads.

关键词: anisotropic plates, spline integral equation method, isotropicalized process

Abstract: In the view of Reissner's and Kirchhoff's theories, respectively, we formulate the isotropicalized governing equations for the anisotropic plates, and give the proof of the equivalence relation between these two plate-models for the simply-supported rectangular orthotropic plates. The well-known fundamental solutions of the isotrqpic plates are utlized for the spline integral equation analysis of anisotropic plates.Even with sparse meshes the satisfactory results can be obtained. The analysis of plates on two-parameter elastic foundation is so simple as the common case that only a few terms should be added to the formulas of fictitious loads.

Key words: anisotropic plates, spline integral equation method, isotropicalized process

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals