任意形状基础滑移振动复合集总参数模型

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明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明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:两者结果非常吻合,基础沿x和y方向滑移时,振幅误差分别为9.2%和0.8%。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基础的动力响应。

SLIDING COMPOSITE LUMPED PARAMETER MODEL OF ARBITRARILY SHAPED FOUNDATIONS

A new sliding composite lumped parameter model (CLPM) is established based on the theory of surface foundation oscillation on an elastic half-space. With the new model (CLPM), horizontally dynamic responses of a complicatedly-shaped surface foundation is calculated and the computing results are in good agreement with the results obtained by the formulas (supported by results of comprehensive experimental and numerical analysis), which have been developed by the theory of elastic half-space for computing the dynamic stiffness and damping coefficient of foundations harmonically swaying oscillating on a homogeneous half-space, the amplitude difference is only 9.2% and 0.8% in lateral direction (x) and longitudinal direction (y), respectively. The new model can be used to easily determine the dynamic responses of arbitrarily shaped lumped foundations (except annular shape) with all range of oscillation frequencies and all range of Poisson’s ratios on homogeneous half-spaces under the horizontal perturbation load.