北京航空航天大学学报 ›› 2009, Vol. 35 ›› Issue (12): 1429-1433.

• 论文 • 上一篇    下一篇

压电复合材料壁板颤振的控制

苑凯华, 邱志平   

  1. 北京航空航天大学 航空科学与工程学院, 北京 100191
  • 收稿日期:2008-11-12 出版日期:2009-12-31 发布日期:2010-09-14
  • 作者简介:苑凯华(1983-), 女, 河北保定人, 博士生, king101010@sohu.com.
  • 基金资助:

    航天科技创新基金资助项目; 航空科学基金资助项目(2007ZA51003); 高等学校学科创新引智计划资助项目(B07009)

Flutter control of composite panels with embedded piezoelectric materials

Yuan Kaihua, Qiu Zhiping   

  1. School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
  • Received:2008-11-12 Online:2009-12-31 Published:2010-09-14

摘要: 针对考虑热效应的壁板颤振问题,利用von Karman大变形应变-位移关系、气动力活塞理论和准定常热应力理论建立了埋入压电材料的复合材料板颤振的气动弹性力学模型,使用Bogner-Fox-Schmit单元推导出壁板颤振的非线性有限元方程.将该动力学方程转换到状态空间模型,给出了基于这个非线性模型的最优控制.应用Runge-Kutta方法在时域内对一个四边简支的含压电材料的复合材料壁板颤振的控制进行了仿真,数值结果证明了该方法的有效性.

Abstract: The panel flutter phenomenon with thermal effect was researched. By virtue of von Karman-s large deflection plate theory, piston theory aerodynamics and the quasi-steady thermal stress theory, the aeroelastic model of composite panel with embedded piezoelectric materials was established. In nonlinear finite element equation the Bogner-Fox-Schmit element was adopted. The dynamic equations of motion were transformed into a state space model in order to design controller. An optimal controller based on the nonlinear model was presented. The flutter suppression results in the time domain using the Runge-Kutta method for a simply supported piezolaminated composite panel subjected to uniform thermal loading was realized. The effectiveness of the present control method was illustrated by simulation solution.

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