实时耦联动力试验的时滞稳定性分析  

DELAY-DEPENDENT STABILITY ANALYSIS OF REAL-TIME DYNAMIC HYBRID TESTING

作　　者：迟福东[1] 王进廷[1] 金峰[1] 

机构地区：[1]清华大学水沙科学与水利水电工程国家重点实验室,北京100084

出　　处：《工程力学》2010年第9期12-16,54,共6页Engineering Mechanics

基　　金：国家自然科学基金项目(90510018;50779021;90715041);水沙科学与水利水电工程国家重点实验室自主研究课题项目(2008-TC-2)

摘　　要：介绍了实时耦联动力试验的基本原理和研究进展。基于传递体系的纯时滞假定建立单自由度实时耦联动力试验的数学模型。利用基于Padé逼近时滞项的根轨迹分析方法求取单自由度实时耦联试验的时滞稳定条件。结果表明:质量、阻尼和刚度的单个稳定上限都随结构自振频率和时滞的增大而呈现拟周期性的变化趋势;在低频部分,稳定上限随结构自振频率和时滞的增大而减小;对于物理子结构中同时包含质量、阻尼和刚度的复合稳定条件,质量上限和下限可能同时存在。最后利用数值模拟验证理论分析得出的稳定条件。The basic principle and research progress of real-time dynamic hybrid testing （RTDHT） are presented. The mathematical model of SDOF RTDHT is established based on the pure delay assumption of a transfer system. The root locus analysis method based on Padé decomposition approximating the delay item is employed to obtain the delay-dependent stability conditions of SDOF real-time dynamic hybrid testing. The results show that the single upper stability limits of the mass, damping and stiffness vary quasi-periodically with both the natural frequency of structure and the transfer system response delay; these limits decrease as both the natural frequency and delay increase for a low frequency structure; for the compound stability condition of the case where the experimental substructure contains mass, damping and stiffness simultaneously, both an upper and a lower mass boundaries may exit. A numerical model is built to validate the theoretical stability condition.

关 键 词：结构试验技术 实时耦联动力试验 时滞 根轨迹分析 PADÉ逼近 稳定条件 

分 类 号：TU317[建筑科学—结构工程]