【作者】 刘志久； 李慧剑； 黎振兹；

【Author】 Zhi-jiu Liu~(1,3) Hui-jian Li~2 Zhen-Zi Li~1 (1.Civil and Architectural College,Central South University,Changsha 410083,China; 2.College of Civil Engingeering and Mechanics,Yiansan University,Qinghuangdao,066004 China; 3.Civil Engineering College of Hunan University,Changsha 410082,China)

【机构】 中南大学土木建筑学院； 燕山大学土木与力学学院；

【摘要】 根据基础振动弹性半空间理论的最新发展成果推导出一个计算基础摇摆振动的复合集总参数模型。采用该模型对复杂形状、任意埋置状况块体基础在谐和扰力矩作用下的动力反应进行计算,并将计算结果与采用弹性半空间理论所得到的摇摆振动刚度和阻尼系数的计算公式(由大量试验、数值计算所证实)计算结果进行比较,结果表明：两者结果比较吻合,误差为12．3%。利用该模型可以容易地计算在扰力矩作用下任意频率、任意泊松比、任意形状(不包括环型)及任意埋置状况基础的均质半空间上块体基础的动力反应。更多还原

【Abstract】 A rocking composite lumped parameter model (CLPM) is developed based on the results obtained with state-of-the-art formulations of foundations oscillating on a elastic half-space.Rocking dynamic response of a arbitrarily shaped and complicatedly embedded foundation is calculated by making use of this model and formulas (supported by results of comprehensive experimental and numerical analysis) ,which have been developed by theory of elastic half-space for computing the dynamic stiffnesses and damping coefficients of foundations harmonically rocking oscillating on a homogeneous half-space.Close agreement is found between CLPM and theory of elastic half-space for rocking oscillations,the difference is 2.29%.The advantage of CLPM is to compute dynamic response of arbitrarily shaped and complicatedly embedded lumped foundations harmonically rocking oscillating on a homogeneous half-space readily.All of oscillation frequencies,all Poisson’s ratios,all foundation base shapes (excluding annular),and complicatedly embedded foundation are considered.更多还原