Investigation on the nonlinear interaction between electro-hydraulic shaking table array and test structure

Abstract

In the past decades, considerable attention has been paid to the strongly nonlinear control-structure interaction (CSI) between shaking table array and test structure. Although some encouraging progress have been made, developing accurate system model and conducting in-depth analysis are less successful and still require further research. This work establishes an analytical model of two different shaking tables and test structure. Based on the analytical model, an in-depth study is conducted to investigate the CSI effects under different shaking table conditions. The analysis shows the CSI effects on single shaking table, the coupling between shaking tables, the synchronous and tracking control performance of shaking table array, and the measured frequency of test structure. Compared with previous studies which assume two shaking tables are the same, the new findings are that the influence of the CSI on single shaking table decreases, the synchronization performance of shaking table array is extremely degraded, and the measured frequency is smaller than the real frequency of test structure. More importantly, the previous shaking table test results can be corrected based on this study.