压电材料圆锥顶端作用集中载荷的解

基金项目: 国家自然科学基金资助项目(19572059);浙江省自然科学基金资助项目( 195015)

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

Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P R China

摘要: 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、点电荷和扭矩的解可退化得到半空间问题的解。
- 压电材料圆锥 /
- 压缩 /
- 扭转 /
- 弯曲 /
- 点电荷
Abstract: 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.
- piezoelectric cone /
- compression /
- torsion /
- bending /
- point charge

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