摘要
对压电智能悬臂梁振动控制中的压电片的位置、尺寸及其控制参数进行研究。在对压电片和基板的耦合特性进行分析的基础上,建立智能悬臂梁的压电传感、致动方程及基于闭环控制系统的状态方程,并以系统的存留能量作为目标函数,建立压电智能悬臂梁压电片的位置、尺寸和控制参数的优化模型及一阶灵敏度分析表达式,并采用移动渐进线法(Method of moving asymptotes,MMA)对模型进行求解。采用Simulink对优化结果的动态响应特性进行仿真分析,仿真结果表明,采用提出的优化模型及算法对悬臂梁压电片的位置、尺寸和控制参数进行优化是合理的。
The integrated optimal design of PZT(piezoelectric ceramics) position, size and active vibration control of the smart cantilever beam is studied. Based on the analysis of the interaction between PZT film and beam, the piezoelectric sensor, actuator equation and state equation of the smart cantilever beam are established with regard to many pairs of PZT sensors/actuators. Then, the integrated optimal model, in which the reserved energy index is taken as objective function, is established, and the expression of its first order sensitivity is derived. Finally, the impulse response of optimal results obtained by method of moving asymptotes is simulated by using Matlab-Simulink. It shows that proposed optimal model and method are effective to PZT positions, size and active vibration control of the smart cantilever beam.
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2009年第2期262-267,共6页
Journal of Mechanical Engineering
基金
国家自然科学基金资助项目(50575067)
关键词
智能悬臂梁
压电片振动控制
结构/控制融合设计
Smart cantilever beam PZT vibration control Integrated structure/control design