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静动力联合分析是考虑非线性条件下结构响应分析的关键技术问题之一。本文通过分析非线性有限元静、动力平衡方程的内在联系,并结合Newmark积分算法的隐式求解特点,提出了一种基于极大初始时间步法的非线性静动力耦合算法,可保证结构在静动荷载的耦合激励下获得合理的非线性地震响应。通过对Koyna重力坝的地震响应数值分析算例,验证了该算法的合理性与有效性。另外,该算法在各类隐式求解的通用有限元程序中均易于实现,可操作性强,便于工程应用。
Static and dynamic joint analysis is one of the key technical issues to consider structural response analysis under nonlinear conditions. In this paper, by analyzing the intrinsic relationship between the static and dynamic equilibrium equations of nonlinear finite element and the implicit solution of Newmark’s integral algorithm, a nonlinear static and dynamic coupling algorithm based on maximal initial time step method is proposed, Static and dynamic load coupling excitation to obtain a reasonable nonlinear seismic response. A numerical example of seismic response of Koyna gravity dam is given to verify the rationality and effectiveness of the algorithm. In addition, the algorithm is easy to implement in all kinds of finite element programs which are implicitly solved. It has strong operability and is easy for engineering application.