摘要
针对精细积分法带来的矩阵阶数高问题,提出将Wilson-θ法、Newmark-β法与精细积分法结合来进行求解动力方程,降低了阶数从而提高了计算效率.采用高斯数值积分公式、辛普森公式、龙格-库塔方法等积分方法求解非齐次动力方程,使之与降阶的精细积分法相结合,建立了新的精细积分格式,为精细积分法在实际工程中的应用提供了方法.
Fine points against the matrix of high-order issue are proposed to Wilson, Newmark law and the fine points of law for dynamic equation solving, and reducing the order of increasing efficiency. Gauss formula is adopted numerical integration, Simpson formula, Runge - kutta methods of integration method for non-homogeneous power equation, so that the precise integration with the reduced order of law, is presented to establish the precise integration of the new format. The precise integration in the application of the actual project provides a method.
出处
《西安建筑科技大学学报（自然科学版）》
CSCD
北大核心
2009年第1期6-10,共5页
Journal of Xi'an University of Architecture & Technology(Natural Science Edition)
基金
国家自然科学基金资助项目(10572107)
陕西省自然科学基础研究计划项目(2005E236)
关键词
动力方程
精细积分法
指数矩阵
dynamic equation
fine integration
exponential matrix
