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

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.