高层框架非线性动力极限承载能力分析的新方法

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。

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

Abstract: A new method for ultimate bearing capacity analysis of nonlinear dynamics of tall frames is proposed. First of all，the QR method for nonlinear dynamic analysis of tall frames is introduced，it has great advantages over finite element method to analyse dynamic problems of tall frames and large complicated structure. Next，the new model for nonlinear dynamic analysis of tall frames is established by double nonlinear dynamic theory and QR methods，overcoming the defects of analyzing nonlinear dynamic problems of tall frames and large complicated structures by finite element method. Third，new algorithm for nonlinear dynamic analysis of structures is found by spline weighted residual method，it is a new algorithm of unconditioned stability and it is more superior than Wilson-θ method and Newmark method. At last，the computing program for nonlinear dynamic analysis of tall frames is compiled by VC++ language，some examples are computed，the computing results showed the new method is a powerful economic method.