变截面压电主元杆件的静力稳定分析

摘要

基于势能驻值原理推导了变截面且材料改变构件屈曲荷载的解析解,并进一步得出变截面压电主元杆件在轴心受压时稳定临界力的计算公式。根据压电材料的特性分别推导了主元杆件在考虑机电耦合和不耦合情况下屈曲荷载值的表达式。结果表明,在压电效应作用下,压电主元杆件的临界承载力有所提高,对结构振动主动控制提供了依据。%Based on the principle of potential energy＇ s stationary value, the analytical solution of the buckling load for variable cross-section and changed material components is deduced, and furthermore, the calculation formula for the piezoelectric pivot bar of variable cross-section under the axial compression situation is obtained. And then according to the characteristics of piezoelectric materials, the expression of the buckling load values when the electrical mechanics is coupling or not coupling is deduced respectively. The conclusion could be achieved from the analysis results that the criti- cal bearing capacity of the piezoelectric pivot bar would be increased under the action of piezoelectric effect, which could provide the basis for the active vibration control for structures.