摘要
将目前常用的非线性动力状态方程v=H·v+f(v,t)变换为v=H·v+f(v,t)+r(t),其中H·v、f(v,t)和r(t)分别是右端项的线性齐次部分、非线性部分和非齐次荷载项。将精细积分法和预估-校正Adams-Bashforth-Moulton多步法相结合,对非线性动力方程进行求解。数值算例表明:该方法的稳定性和计算精度明显优于现有的Adams-Bashforth-Moulton方法,可用于多自由度结构体系的非线性地震反应分析。
The present nonlinear dynamic system governed by the equation v = H. v ＋ f（v,t）, is transformed to that governed by the equation v = H. v＋ f （v,t） ＋ r（t） , in which H. v, f （v,t） and r（t） are respectively linear homogeneous part, nonlinear part and non-homogeneous load item in the right terms of the equation. Combining the precise integration method and Adams-Bashforth-Moulton＇s predict-correct multi-step method, a highly precise multi-step method for nonlinear dynamic equations is established. Compared with the present Adams-Bashforth-Moulton method through the numerical results, the high accurate and stable advantage of the presented method has been shown, suitable to calculate the seismic response of structural systems with multi-degrees of freedom.
出处
《工程力学》
EI
CSCD
北大核心
2009年第5期41-46,共6页
Engineering Mechanics
基金
湖南省自然科学基金项目(07JJ6085)
湖南省教育厅科研项目(05A070
05B063)
