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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。

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.

参考文献

[1] [1] 石志飞, 黄彬彬. 功能材料力-电耦合问题的几个基本解——(I)悬臂梁受力偶作用[J]. 复合材料学报, 2001, 18(1):105-108.
[2] [2] 邱碧秀. 电子陶瓷材料[M]. 台湾: 徐氏基金会, 1990.
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