Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (1): 12-17.

• 论文 • 上一篇    下一篇

ELASTICITY SOLUTIONS FOR A PIEZOELECTRIC CONE UNDER CONCENTRATED LOADS AT ITS APEX

丁皓江, 国凤林, 邹道勤   

  1. Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P. R. China
  • 收稿日期:1997-11-27 出版日期:1999-01-18 发布日期:1999-01-18
  • 基金资助:

    Project supported by the National Natural Science Foundation of China; and the Natural Science Foundation of Zhejing Province

ELASTICITY SOLUTIONS FOR A PIEZOELECTRIC CONE UNDER CONCENTRATED LOADS AT ITS APEX

Ding Haojiang, Guo Fenglin, Zuo Daoqin   

  1. Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P. R. China
  • Received:1997-11-27 Online:1999-01-18 Published:1999-01-18
  • Supported by:

    Project supported by the National Natural Science Foundation of China; and the Natural Science Foundation of Zhejing Province

摘要: Based on the general solution of the three-dimensional problem for piezoelectric materials, the problem of a piezoelectric cone subjected to concentratedloads at its apex is solved by trial-and--error method. The displacements and stresses are explicitly given for the cases of compression in the presence of pointcharge, bending and torsion. These solutions are simple in form and convenient for application. When the apex angle 2α equals π, the solutions for concentrated force, point charge and torsion reduce to solutions of the half-space problem.

关键词: piezoelectric cone, compression, torsion, bending, point charge

Abstract: Based on the general solution of the three-dimensional problem for piezoelectric materials, the problem of a piezoelectric cone subjected to concentratedloads at its apex is solved by trial-and--error method. The displacements and stresses are explicitly given for the cases of compression in the presence of pointcharge, bending and torsion. These solutions are simple in form and convenient for application. When the apex angle 2α equals π, the solutions for concentrated force, point charge and torsion reduce to solutions of the half-space problem.

Key words: piezoelectric cone, compression, torsion, bending, point charge

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