压电层合纤维在动载荷作用下的应力和电势的瞬态响应

沈俊新;王熙

振动与冲击 ›› 2013, Vol. 32 ›› Issue (16) : 44-48.

PDF(1159 KB)
PDF(1159 KB)
振动与冲击 ›› 2013, Vol. 32 ›› Issue (16) : 44-48.
论文

压电层合纤维在动载荷作用下的应力和电势的瞬态响应

  • 沈俊新,王熙
作者信息 +

Transient response of stress and electric potential in laminated piezoelectric fibers subjected to dynamic loading

  • J.X. Shen,X. Wang
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文章历史 +

摘要

利用压电层合纤维层间的连续性条件和外表面的应力边界条件,通过有限Hankel积分变换和Laplace变换求解压电层合纤维的力电耦合的动力学方程,给出了压电层合纤维在动载荷作用下的应力和电势瞬态响应的解析解。从解析表达式和算例,可以得到在径向动载荷下层合压电纤维的应力和电势的瞬态响应历程和实心处动态集中效应的规律。

Abstract

The electromechanical coupled dynamic equation for laminated piezoelectric fibers is solved by means of finite Hankel integral transform and Laplace transform. Then, the analytical solution is obtained by utilizing the interface continuity conditions between the piezoelectric fiber layers and the stress boundary condition at the external surface of the piezoelectric laminated fibers. From the exact analytical solution and the numerical examples, the transient response of stresses and electric potential in laminated piezoelectric fibers under radial dynamic loading is described, which reveal the dynamic focusing effect at the center of laminated piezoelectric fibers.

关键词

压电层合纤维 / 应力波 / 动态集中效应

Key words

laminated piezoelectric fibers / stress wave / dynamic focusing effect

引用本文

导出引用
沈俊新;王熙. 压电层合纤维在动载荷作用下的应力和电势的瞬态响应[J]. 振动与冲击, 2013, 32(16): 44-48
J.X. Shen;X. Wang. Transient response of stress and electric potential in laminated piezoelectric fibers subjected to dynamic loading[J]. Journal of Vibration and Shock, 2013, 32(16): 44-48

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