【作者】 徐海滨； 赵密； 杜修力；

【Author】 XU Haibin,ZHAO Mi,DU Xiuli (The Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology,Beijing 100124,China)

【机构】 北京工业大学城市与工程安全减灾教育部重点实验室；

【摘要】 基础动力刚度系数的有理函数近似是构建基础高阶集中参数模型的第一步,有理函数的稳定性决定模型的稳定性。有理函数近似的时域辅助变量实现是构建集中参数模型的第二步,有理函数的连分式展开是引入辅助变量的有效数学工具。本文基于杜修力和赵密(2010)建立的有理函数近似的稳定性准则和参数识别方法以及赵密和杜修力(2009)提出的一种连分式展开方法确定了Wu和Lee(2004)提出的一种无质量集中参数模型的参数,并通过分析弹性地基表面半无限杆问题验证了新模型的稳定性和精度。更多还原

【Abstract】 The rational function approximation of foundation dynamic-stiffness coefficient is the first step of constructing the high-order lumped-parameter model for foundation.Its stability determines the stability of model. The time-domain auxiliary variable realization of rational function approximation is the second step.The continued fraction expansion of rational function is an effective mathematical tool for introducing the auxiliary variable.In this paper,the parameters of the lumped-parameter model without mass proposed by Wu and Lee (2004) is re-obtained based on the stability condition and parameter identification method of rational function approximation proposed by Du and Zhao(2010) and the continued fraction expansion proposed by Zhao and Du (2009).The stability and accuracy of the new Wu-Lee model are demonstrated by analyzing the problem of the semi-infinite rod on elastic foundation.更多还原