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

作　　者：杨永波[1] 石志飞[1] 陈盈[1] 

机构地区：[1]北京交通大学土木建筑工程学院,北京100044

出　　处：《力学学报》2004年第3期305-310,共6页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家自然科学基金(50272003);教育部高等学校优秀青年教师科学科研奖励计划资助项目.~~

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Fz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.The inverse method is traditionally used to solve elastic problems. In the present paper this method is applied for a piezoelectric cantilever actuator subjected to a linear distributed loading on the upper surface. Nonlinear body force Fz is also considered. The stress function and induction function in the form of polynomials are obtained. The general solutions as well as the influence of the distribution profile of body force on this solution are discovered. From this conclusion the solutions of the cantilever actuator with constant body force and without body force can be easily found. This work provides a feasible method to study other kinds of functionally gradient piezoelectric microstructures.

关 键 词：压电材料 梯度功能材料 执行器 传感器 悬臂梁 材料力学 

分 类 号：TM22[一般工业技术—材料科学与工程] TB301[电气工程—电工理论与新技术]