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

• Articles • Previous Articles     Next Articles

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

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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