高层框架非线性动力极限承载能力新方法分析  

New method for nonlinear dynamics analysis on ultimate bearing capacity of tall frame

作　　者：秦荣[1] 王晓峰[1] 苏金凌[1] 

机构地区：[1]广西大学土木建筑工程学院,南宁530004

出　　处：《振动与冲击》2012年第14期33-38,共6页Journal of Vibration and Shock

基　　金：国家自然科学基金资助项目(19872020);广西科学研究与技术开发资助项目(0861001-(2))

摘　　要：提出了高层框架非线性动力极限承载能力分析的新方法。首先,介绍了高层框架动力分析的QR法,它比有限元法分析高层框架及大型复杂结构动力问题优越。其次,利用结构双重非线性动力理论及QR法建立了高层框架非线性动力分析的新模型,克服了有限元法分析高层框架及大型复杂结构非线性动力问题的缺陷。其三,利用样条加权残数法创立了结构非线性动力分析的新算法,它是一种无条件稳定的新算法,比Wilson-θ法及Newmark法优越。最后,利用VC++语言编制了有关计算程序并进行计算。结果表明这种新方法经济有效。The QR method for nonlinear dynamic analysis of tall frames was introduced, which has greater advantages than the finite element method to analyse dynamic problems of tall frames and large complicated structures. A new model for nonlinear dynamic analysis of tall frames was established according to double nonlinear dynamic theory and QR methods. The corresponding new algorithm based on spline weighted residual method was proposed. It is a new algorithm of unconditioned stability and is more superior than Wilson-0 method or Newmark method. The computing program for nonlinear dynamic analysis of tall frames was compiled by using VC ＋ ＋ language. Some examples were provided and the computing results show the new method is powerful and economic.

关 键 词：高层框架 非线性动力极限承载能力 QR法 样条加权残数法 

分 类 号：O342[理学—固体力学]