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为了更好地对于30 m望远镜三镜(TMT M3)的动力学进行度量与检测,基于加速度信号建立了系统模态信息的计算与评价方法。首先,分析了如何利用加速度计对于TMT三镜系统进行检测。之后,利用系统对于未知载荷的响应,基于随机减量法获得了系统的自由响应;之后,根据多项式拟合的方法,对于获得的传递函数进行处理。根据之前所提出的方法,对于4 m级系统,获得了其系统前两阶模态为88 Hz以及107 Hz,并获得了对应振型。所做的工作对于TMT三镜的完成有着很好的指导作用。
In order to better measure and detect the dynamics of TMT M3 at 30 m telescope, a method to calculate and evaluate the modal information of the system is established based on the acceleration signal. Firstly, it analyzes how to use the accelerometer to test the TMT three-mirror system. Afterwards, the system’s free response is obtained based on the random reduction method using the response of the system to the unknown load. Then, the obtained transfer function is processed according to the polynomial fitting method. According to the proposed method, for the 4 m system, the first two modes of the system are obtained as 88 Hz and 107 Hz, and the corresponding modes are obtained. The work done for the TMT three mirror has a good guide.