使用新算法的剪切型子结构振动台试验稳定性

Stability of ShearType Substructure Shaking Table Testing Using a New Algorithm

摘要:

提出了使用无条件稳定显式ChenRicles（CR）积分新型算法的剪切型子结构振动台试验方法，包括子结构划分以及试验流程图.通过推导子结构的运动方程进行子结构方法的数值验证，考虑了两种不同量级试验子结构频率的情况.结果表明：当试验子结构频率较小时，子结构方法可以保证稳定性和准确性，反之则不能.最后利用离散控制理论推导出子结构方法方框图的离散闭环传递函数，通过求解传递函数的极点位置判断离散系统的稳定性，进一步论证了数值模拟发现的结果.

Abstract:

A sheartype substructure shaking table testing (SSTT) method, which includes the substructure partition and the testing flowchart, was proposed using the unconditionally stable explicit ChenRicles (CR) new integration algorithm. The substructure method was numerically verified by deducing the equations of motion (EOMs) of the substructures. Two cases with different magnitudes of the frequency for the experimental substructure were considered. The results show that the stability and the accuracy of the substructure method can be guaranteed if the frequency of the experimental substructure is relatively small, and vice versa. Finally, the discrete control theory was applied to deduce the discrete closedloop transfer function of the block diagram for the substructure method. In addition, the locations of the poles for the transfer function was used to judge the stability of the discrete system so as to further demonstrate the findings from the numerical simulation.