柔性结构振动控制的多尺度特征结构配置

MULTISCALE EIGENSYSTEM ASSIGNMENT FOR VIBRATION CONTROL OF FLEXIBLE STRUCTURES

对复杂柔性结构系统提出了一种多尺度特征结构配置方法，以实现结构振动的多尺度主动控制。通过反馈控制力改变结构的振动模态，使系统中不同敏感性部件的受扰振动以不同的速度趋于稳定，使敏感（关键）部件的振动能量快速迁移从而保证系统高精度的性能要求，同时使非敏感（非关键）部件的振动降低到允许范围。

A method of multiscale eigensystem assignment is presented for vibration suppression of flexible structures.The method can alter the original modes by appropriate feedback forces,so that the sensitive parts of the flexible structure reach their steady states at faster rates than other parts,while vibration in sensitive parts is reduced to allowable level.The new control scheme can quickly remove the vibration energy from the sensitive parts of the flexible structure to meet the requirements of high performance.By selecting a model transformation matrix T in Eq(1),the vibration energy of the controlled system is redistributed over the sensitive and insensitive parts.The resulting active damping conrol gain is K 2=(T -1 ) TG 2T -1 ,where the elements of G 2 are solved from the ideal characteristic equations (5),in which ( n 2-3n+2)/2 elements of G 2 are determined artificially.Finally,a simple example demonstrates the effectiveness of this new control scheme.