【摘要】 完全在时域数值分析范畴内,本文对结构-地基动力相互作用系统运动方程进行了深入推导,给出了统一的基本表达形式,简化可获得目前应用的各类主要时域模型。其中,基于结构-地基交界面的位移协调条件及作用力与反作用力平衡方程,推导了动力相互作用分析子结构法模式的时域基本方程。从结构的一般动力平衡方程出发,推导了相互作用直接法模式的基本平衡方程,并基于有限元模型对两类模式间的等价性条件进行了理论验证。更多还原

【Abstract】 Within the basic framework of time-domain numerical analysis, by considering the relevant physical conceptions and classical mechanics laws for substructure and direct methods,general motion model of structure-foundation dynamic interaction system is deeply studied, and unified time-domain governing equations of motion for the dynamic system are proposed in detail. Particularly, the basic governing equation in direct method is totally deduced from the usual basic dynamic equations of structure, while the other in substructure method satisfies both of the displacement coordination condition and the Newton’s third law on the structure-soil interfaces. Various time-domain numerical methods applied in practical analysis can be acquired by the simplified forms of the above two governing equations. In addition, the equivalency between the two basic governing equations is numerically demonstrated based on the example of finite element model.更多还原