压电复合梁高阶有限元模型与主动振动控制研究

RESEARCH ON HIGH ORDER FINITE ELEMENT MODEL AND ACTIVE VIBRATION CONTROL FOR PIEZOELECTRIC COMPOSITE BEAMS

大型柔性空间结构的振动控制问题引起了广泛的关注.压电材料以其低质量、宽频带和适应性强等特点,非常适合于柔性空间结构的振动控制.本文针对上下表面粘贴有分布式压电传感器和作动器的智能层梁结构,提出了一种考虑压电材料对结构质量、刚度影响的高阶有限元模型.考虑到空间结构可能承受较大的热载荷,在模型中计及了压电材料的热电耦合效应.采用常增益负反馈控制方法、常增益速度负反馈控制方法、Lyapunov反馈控制方法和线性二次型调节器方法(LQR)设计主动控制器,实现了智能层梁结构脉冲激励下的振动主动控制.仿真结果表明,LQR方法更能有效的实现结构振动控制,并且具有更低的作动器峰值电压,但不能消除热载荷引起的结构静变形.

A high order finite element model of smart beam with distributed piezoelectric sensor and actuator layers was presented. The beam elements were developed incorporating the stiffness, mass and electromechanical coupling effects of the piezoelectric laminates. Considering the temperature difference in the large flexible space structures, the coupling effects between the temperature and mechanical of piezoelectric material were also taken into account. The simple negative feedback, constant-gain negative velocity feedback, Lyapunov feedback as well as a linear quadratic regulator（LQR） approach were used for active vibration control with the structures subjected to impact excitations. The LQR approach voltages applied in the piezo actuator layers scheme. was found to be more effective in vibration , but the thermal induced offset could not be control with lesser controlled using the peak LQR scheme.