基于遗传算法的压电扭转驱动器优化布置

针对空间薄壁杆类结构的扭转振动问题，对一薄壁杆上的扭转驱动器位置优化配置进行了研究．采用拉格朗日方程和假设模态法，推导了薄壁杆与驱动器组成的系统的动力学方程，建立了动力学系统的状态空间表达式．将薄壁杆划分为若干个位置单元，选取Grammian可控性作为目标函数，运用遗传算法获得了压电扭转驱动器的最佳配置位置．在最优位置处黏贴压电扭转驱动器，实施闭环控制，得到了薄壁杆自由端角位移前三阶模态的闭环幅频响应．结果表明，采用遗传算法能获得最优位置，在最优位置处实施的闭环控制能有效抑制薄壁杆的扭转振动．

Optimal placement of piezoelectric torsional actuator based on genetic algorithm

For the torsional vibration of thin-wall bar in space,torsional actuator placement optimization of a thin-wall bar was investigated.Dynamic equations of the thin-wall bar-actuator system were theoretically derived using the Lagrange equation and the assumed mode method,and the state-space expression of the dynamic system was developed.The thin-wall bar was divided into several position units,the controllability Grammian was chosen as the objective function,optimal placement of piezoelectric torsional actuator was obtained using genetic algorithm.After the piezoelectric torsional actuator was bonded onto the optimal position and closed-loop control was achieved,the first three order closed-loop amplitude frequency response of the angular displacement at the free end was obtained.The results show that optimal position can be obtained using the genetic algorithm,and that closed-loop control implemented in the optimal position can effectively suppress the torsional vibration of the thin-wall bar.