功能材料力-电耦合问题的几个基本解——(Ⅲ)悬臂梁梁端受横向集中力

GENERAL SOLUTIONS OF SMART MATERIALS AND STRUCTURES PART THREE:INTELLIGENT CANTILEVER BEAM SUBJECTED TO A TRANSVERSE CONCENTRATED FORCE

本文是本系列工作的第三部分 ,研究了功能材料悬臂梁梁端受横向集中力作用的情况。采用半逆解法 ,分别求解了无体力悬臂梁、常体力悬臂梁以及密度梯度悬臂梁中的力 -电耦合问题 。

As the third part of these series works, the present paper deals with a piezoelectric cantilever beam subjected to a transverse concentrated force at the free end. The general solutions of the electro mechanical fields in the smart beam are obtained and discussed by use of the semi inverse method. In order to get a solution clearly and comparably, a piezoelectric cantilever beam is considered under three different cases: without body force, with constant body force and with gradient body force.