任意形状埋置基础滑移振动复合集总参数模型  

SLIDING COMPOSITE LUMPED PARAMETER MODEL OF ARBITRARILY SHAPED FOUNDATIONS

作　　者：刘志久[1,2] 徐建[3] 尚守平[1] 王贻荪[1] 

机构地区：[1]湖南大学土木工程学院,长沙410082 [2]中南大学土木建筑学院,长沙410082 [3]中国机械工业集团公司,北京100080

出　　处：《工程力学》2010年第12期174-178,200,共6页Engineering Mechanics

基　　金：中国工程建设标准化协会课题《动力机器基础设计理论及其应用研究》项目(799-201113)

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埋置基础滑移振动的复合集总参数模型。采用该模型对复杂形状的埋置块体基础在水平谐和扰力作用下的动力响应进行计算,并将振幅计算结果与采用弹性半空间理论所得到的埋置基础滑移振动刚度和阻尼系数公式(由大量试验、数值计算所证实)的振幅计算结果进行比较,结果表明:两者结果吻合,振幅误差为22.9%。利用该模型可以容易地计算在水平扰力作用下任意频率、任意泊松比和任意形状(不包括环型)的均质半空间上块体埋置基础的动力响应。A sliding composite lumped parameter model is established based on the results obtained with complex-shaped formulations of embedded foundation oscillating on an elastic half-space.Horizontally dynamic responses of a arbitrarily shaped and complicatedly embedded foundation are calculated by making use of this model and formulas（supported by results of comprehensive experimental and numerical analysis）,which are developed by the theory of elastic half-space for computing the dynamic stiffness and damping coefficients of foundations harmonically sliding oscillating on a homogeneous half-space.Agreement is found between the proposed model and the theory of elastic half-space for sliding oscillations with an error of 22.9%.The advantage of the composite lumped parameter model is to compute the dynamic responses of arbitrarily shaped and complicatedly embedded lumped foundations sliding oscillating on a homogeneous half-space readily considering all oscillation frequencies,realistic range of Poisson＇s ratios（ν≤0.48）,all foundation base shapes（excluding annular） and complicated embedment.

关 键 词：埋置基础 复合集总参数模型 弹性半空间 滑移振动 任意形状 动力响应 

分 类 号：TU435[建筑科学—岩土工程]