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

  • 摘要: 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,并进行了讨论。

     

    Abstract: 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.

     

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