含多个压电元件智能悬臂梁的横向振动特性

本文以含多个压电元件的悬臂梁为例,基于Bernoulli-Euler梁的阶梯折算法,结合压电智能悬臂梁段的等效弹性模量理论,计算了多个压电元件的悬臂梁的固有频率和振型,并与有限元和等截面梁的计算结果进行比较。计算分析表明,压电材料尺寸和位置变化对智能悬臂梁结构的横向振动特性具有显著的影响,分析结论对高速飞行器结构设计和主动振动控制中压电元件的优化布置有实用价值。

Analyzing on Transverse Vibration for Smart Cantilever Beam with Multiple Piezoelectric Components

In this paper,with a number of piezoelectric components of the cantilever as an example,by combining the equivalent Young＇s modulus of beam element with multiple piezoelectric components and the analytic solution for transverse free vibration of the section-varying beam,the dynamic characteristics of the smart cantilever beam has been investigated,and the computation results are compared with FEM and the beam with the same cross section.Analysis shows that the effect of the size and location of the piezoelectric patches has significant impact on the natural frequencies and mode shapes.The research results will be valuable for building a smart cantilever beam with multiple piezoelectric components in active vibration control of flight structure.