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Applied Mathematics and Mechanics

, Volume 12, Issue 9, pp 841–848 | Cite as

An analytical method for a mixed boundary value problem of circular plates under arbitrary lateral loads

  • Zheng Xiao-ping
  • Ye Tian-qi
  • Chen Bai-ping
Article

Abstract

In this paper by using the concept of mixed boundary functions, an analytical method is proposed for a mixed boundary value problem of circular plates. The trial functions are constructed by using the series of particular solutions of the biharmonic equations in the polar coordinate system. Three examples are presented to show the stability and high convergence rate of the method.

Key words

circular plate mixed boundary value problem mixed boundary functions analytical method 

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References

  1. [1]
    Timoshenko, S. and S. Woinowsky-Krieger,Theory of Plate and Shells, McGraw-Hill Book Company, Inc. (1959).Google Scholar
  2. [2]
    Ling Hong-sun, Bending of circular and ring-shaped elastic thin plate under arbitrary lateral load,Acta Physica Sinica,12, 4 (1956)Google Scholar
  3. [3]
    Yeh Kai-Yuan and Hsin Chien-yun, General solutions of bending of ring-shaped elastic thin plates under arbitrary loads and several practical problems,J. of Lanzhou University, Special Number of Mechanics, 1 (1979). (in Chinese)Google Scholar
  4. [4]
    Chien Wei-zang,Variational Principles and Finite Element Methods, Science Publishing House of China (1980). (in Chinese)Google Scholar

Copyright information

© Shanghai University of Technology (SUT) 1991

Authors and Affiliations

  • Zheng Xiao-ping
    • 1
  • Ye Tian-qi
    • 1
  • Chen Bai-ping
    • 1
  1. 1.Northwestern Polytechnical UniversityXi'an

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