结构动力方程精细时程积分法的几种改进

英文篇名：Improvements on the structural dynamic equation precise time-integration
中文刊名：西安建筑科技大学学报(自然科学版)
英文刊名：Journal of Xi'an University of Architecture & Technology(Natural Science Edition)
作者：李青宁 ; 李晓蕾 ; 阎艳伟
英文作者：LI Qing-ning1 ; 2 ; LI Xiao-lei1 ; YAN Yan-wei1(1.School of Civil Eng. ; Xi'an Univ.of Arch.and Tech.Xi'an 710055 ; China ; 2.State Key Laboratory of Architecture Science and Technology in West China(XAUAT) ; Xi'an 710055 ; China)
中文关键词：动力方程 ; 精细积分法 ; 指数矩阵
英文关键词：dynamic equation ; fine integration ; exponential matrix
出版日期：2009-02-15
机构：西安建筑科技大学土木工程学院;西部建筑科技国家重点实验室(筹);
年：2009
期：01
出版单位：西安建筑科技大学学报(自然科学版)

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.

引文

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