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基础频率响应的连续时间有理近似是构建基础振动分析的高阶集中参数模型的起点,连续时间有理近似的稳定性和参数识别直接决定集中参数模型以及土-结系统的动力稳定性和精度。该文基于线性系统稳定性理论并结合集中参数模型的具体输入-输出情况,提出连续时间有理近似(也即集中参数模型)稳定的充分必要条件;进而基于罚函数法和遗传-单纯形法建立可以考虑稳定性约束的有理近似识别方法。将获得的稳定、精确的连续时间有理近似分别实现为Wu-Lee和Wolf的高阶集中参数模型,通过几个典型基础振动问题验证了提出的稳定性理论和参数识别方法。
The rational approximation of the continuous time of the fundamental frequency response is the starting point of constructing the high-order lumped parameter model of the basic vibration analysis. The stability and parameter identification of the continuous time rationality directly determine the dynamic stability and accuracy of the lumped parameter model and soil-junction system. Based on the linear system stability theory and the specific input-output conditions of the lumped parameter model, a sufficient and necessary condition for the stability of continuous time rational approximation (ie, lumped parameter model) is proposed. Based on the penalty function method and genetic-simplex method, it is established. A rational approximation method for stability constraints can be considered. The stable and precise continuous-time rational approximations obtained were implemented as high-order lumped parameter models of Wu-Lee and Wolf, respectively, and the proposed stability theory and parameter identification method were verified by several typical fundamental vibration problems.