Abstract: A method for dynamic response analysis of the nonlinear systems is presented. It is the development of the mode-superposition procedure and the modal synthesis method. The system of nonlinear differential equations is uncoupled to self-consistent nonlinear differential equation without reference to mass, equations are solved directly. This algorithm can be employed for solving problems involving buildings dynamic foundations, bridges and vehicles. A computer program is presented and some numerical examples illustrating the effectiveness of the method are given.

摘要： 本文把子结构法、振型迭加法、模态综合法等推广应用于非线性系统,提出分析非线性系统动力响应的离散分量法。把非线性微分方程组分离为关于质量为独立的非线性微分方程,并对此方程直接求解。大大节省计算机存贮量及计算时间,使用小型计算机即可分析非线性系统的动力响应。这方法可计算各类房屋结构、有隔振设备的动力基础、有抗震支座的桥梁以及机器、车辆等的振动。?

关键词: 非线性动力分析, 分量法, 动力响应, 非线性系统, 子结构法, 振型, 小型计算机, 动力基础, 抗震支座, 自由度数目