压电材料圆锥顶端作用集中载荷的解

Elasticity Solutions for a Piezoelectric Cone Under Concentrated Loads at Its Apex

从压电材料三维问题的通解出发，用凑合法求解了圆锥顶端作用集中力、点电荷和集中力矩的解，此解形式简单便于应用·当圆锥顶角２α＝π时，集中力。

Based on the general solution of the three_dimensional problem for piezoelectric materials, the problem of a piezoelectric cone subjected to concentrated loads 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 point charge, 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 those of the half_space problem.