【摘要】 本文改进和发展了文献(1)、(2)中提出的广义传递子结构法和配点法,提出了一种新的有效的直接求解结构动力学平衡方程的配点法与传递矩阵法相结合的数值计算方法。在此方法中修正的传递矩阵可用于每个短时间增量中的动态反应分析中。进一步提出了广义传递矩阵的新概念,建立能计算任何动荷载作用下结构的动力反应的一般递推公式。文中给出数字实例证明所建议方法是正确的和可行的。更多还原

【Abstract】 This paper, aiming to develop further the generalized transfer substructure method and the collocation method suggested in the references [1], [2], presents a new numerical method in order to solve the governing differential equation of dynamic equilibrium of structures. This new effective method is a coupling of the collocation method with the transfer matrix method such that the dynamic response of the structure at each short time duration is solved by the collocation process and a modified transfer matrix is utilized also for each time duration. As a matter of fact, the authors in this work have shaped a new concept on the generalized transfer matrix thence to propose the new collocation method by which the dynamic response of structures under any arbitrary dynamic loadings may be solved with the step-by-step algorithm. Numerical examples are given to show its validity and its effectiveness.更多还原