摘要
针对空间柔性杆系统的扭转振动问题,提出了一类由柔性杆、电阻应变片传感器、压电扭转致动器组成的柔性杆系统。为了研究此系统的扭转振动,运用拉格朗日方程和假设模态法建立了系统的动力学方程。针对柔性杆系统中压电扭转致动器、传感器的优化配置问题,提出一种基于最小输入能量、最大能量传递、Grammian矩阵最小奇异值最大化的复合优化策略,采用遗传算法对致动器/传感器的位置进行了搜索,找到了最优位置位于柔性杆的根部。进行了数值分析研究,结果表明,与其他位置相比,最优位置最有利于致动器实施控制,同时也最有利于传感器的观测。
Aiming at the torsional vibration of a space flexible bar system,a flexible bar system which consists of a flexible bar,a strain gauge sensor and a piezoelectric torsional actuator is proposed.To investigate the torsional vibration of the system,the dynamics governing equations of the system is established using the Lagrange equation and the assumed mode method.For the problem of the actuator/sensor optimization in the system,a hybrid optimization strategy based on minimum input energy,maximum energy transferring and maximum singular value of controllability Grammian is put forward.The genetic algorithm is used to find the optimal position of the actuator/sensor.Numerical analysis is performed,and the results show that optimal position of the flexible bar is on the root.Compared with other positions on the bar,the optimal position is the best place for the actuator to apply control and for the sensor to apply observation.
出处
《航空学报》
EI
CAS
CSCD
北大核心
2008年第4期937-942,共6页
Acta Aeronautica et Astronautica Sinica
基金
国家自然科学基金(50275131)
关键词
柔性杆
扭转振动
优化准则
致动器
配置
flexible bar
torsional vibration
optimization criterion
actuator
placement
