线性分布荷载作用下梯度功能压电悬臂梁的解
Piezoelectric Cantilever Actuator Subjected To A Linearly Distributed Loading
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摘要: 采用逆解法求解了上表面受线性分布荷载作用的压电悬臂梁执行器，其中体积力$F_z$呈非线性分布. 首先确定了应力函数和电位移函数的多项式表达式，进而研究了该问题的通解，以及体积力的不同分布对解答的影响. 常体积力和无体力情况下的解可以由上述解直接得到. 本文为研究其它类型的压电梯度微观结构提供了一种可行的方法.
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关键词:
- 压电材料,梯度功能材料,执行器,传感器
Abstract: The inverse method is traditionally used to solve elasticproblems. In the present paper this method is applied for a piezoelectriccantilever actuator subjected to a linear distributed loading on the uppersurface. Nonlinear body force $F_z $ is also considered. The stress functionand induction function in the form of polynomials are obtained. The generalsolutions as well as the influence of the distribution profile of body forceon this solution are discovered. From this conclusion the solutions of thecantilever actuator with constant body force and without body force can beeasily found. This work provides a feasible method to study other kinds offunctionally gradient piezoelectric microstructures. -
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