任意形状埋置基础的竖向振动复合集总参数模型  

Vertical composite lumped parameter model of arbitrarily shaped embedded foundations

作　　者：刘志久[1] 尚守平[2] 徐建[3] 王贻荪[2] 

机构地区：[1]中南大学土木建筑学院,湖南长沙410083 [2]湖南大学土木工程学院,湖南长沙410082 [3]中国机械工业集团公司,北京100080

出　　处：《中南大学学报（自然科学版）》2007年第1期170-174,共5页Journal of Central South University:Science and Technology

基　　金：中国工程建设标准化协会课题基金资助项目(799-201113)

摘　　要：根据基础振动弹性半空间理论的最新发展成果,推演出基础竖向振动的复合集总参数模型。运用该模型对复杂形状、任意埋置状况块体基础在竖向谐和扰力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竖向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: 2种结果非常吻合,误差仅为10．7％;利用该模型可以容易地计算在竖向扰力作用下任意频率以及泊松比ν≤0．48的任意形状(不包括环型)和任意埋置状况基础的均质半空间上块体基础的动力反应。A vertical composite lumped parameter model（CLPM） was developed based on the results obtained with state-of-the-art formulations of foundations oscillating on a elastic half-space. Vertically dynamic response of a arbitrarily shaped and complicatedly embedded foundation was calculated by making use of this model and formulas（supported by results of comprehensive experimental and numerical analysis）, which were developed by theory of elastic half-space for computing the dynamic stiffness and damping coefficients of foundations harmonically vertical oscillating on a homogeneous half-space. Close agreement is found between CLPM and theory of elastic half-space for vertical oscillations, and the difference is only 10.7%. The advantage of CLPM is to compute dynamic response of arbitrarily shaped and complicatedly embedded lumped foundations harmonically vertical oscillating on a homogeneous half-space readily. All of the oscillation frequencies, a realistic range of Poisson＇s ratios（v≤ 0.48）, all foundation base shapes（excluding annular）, and complicated embedment are considered.

关 键 词：弹性半空间 任意形状 埋置深度 动力反应 复合集总参数模型 

分 类 号：TU435[建筑科学—岩土工程]