结构动力方程另类显式逐步积分格式研究  

Researches on Other Explicit Integration Method of Structural Dynamic Equations

作　　者：张晓志[1] 刘龙江[1] 曹玲[1] 

机构地区：[1]东北电力大学建筑工程学院,吉林132012

出　　处：《世界科技研究与发展》2011年第6期978-982,共5页World Sci-Tech R&D

基　　金：东北电力大学博士科研启动基金(BSJXM-200713)资助项目

摘　　要：现有显式积分格式的稳定性与计算结果的取信度均远逊于常用的隐式积分格式,这是制约现有显式积分格式在大型结构动力分析软件以及其它相关软件中广泛应用的瓶颈。以解决这一瓶颈问题为研究目标,通过结合采用精确法和平均常加速度法的基本假定,推导建立了基于双重基本假定的另类显式积分格式,提出了相关的体系另类振动周期等新概念。基于另类振动周期概念并结合现有相关研究成果,导出了该格式的精度控制准则和形式上的稳定性控制准则,为开展相关的数值模拟研究准备了必要的基础和前提。概述了开展相关数值模拟研究的技术路线,对业已取得的主要数值模拟研究结果做了先期预告和初步讨论。Both stability and reliability of calculation resuhs of current explicit integration method are inferior to common implicit integration method, which restrict the explicit integration method widely used in large structure dynamic analysis software and other associated software. With solving this bottleneck problem as the main research objective ,by combining the basic assumption of accurate method with that of constant average acceleration method, a other explicit integration method based on double basic assumption is derived,and some new concept of other vibration period of system are put forward. Based on the other vibration period and combined with current associated research results, criteria of accuracy and criteria of stability in form of the method are derived, which provide the necessary precondition and foundation for developing associated numerical simulation research. Also the technical route of associated numerical simulation research paper has been summarized and the advance notices and preliminary discussions on obtained mainly numerical simulation research results have been given.

关 键 词：结构动力方程 双重基本假定 另类显式积分格式 体系另类振动周期 

分 类 号：TU311.3[建筑科学—结构工程]