动力时程分析中弹塑性刚度矩阵的提取方法
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摘要
利用ANSYS二次开发工具UPFs编写成可执行程序文件,通过与MATLAB进行联立计算,对线弹性和非线性弹塑性本构模型的结构分别实现了特性矩阵的近似提取.对线性本构关系模型的各特性矩阵提取方法进行阐述推导和验证,求得的各阶频率和动态响应时程曲线与ANSYS直接计算法吻合.对于非线性弹塑性本构模型,将非线性本构关系在全局过程中的小段时间内进行等效线性化处理后提取等效刚度矩阵,进行静动力分析后所得各种响应时程曲线与ANSYS直接计算法所得曲线基本吻合.结果表明了分段等效线性化模型的合理性和ANSYS二次开发程序提取等效特性矩阵的可行性.
Executable program for feature matrices extraction was written by using ANSYS secondary development tools UPFs. With MATLAB simultaneous calculation, the feature matrices of the linear elastic and nonlinear elastic-plastic constitutive model were respectively extracted. For the linear constitutive model, the extraction method of those feature matrices were derived and affirmed. All order frequencies and response curves were coincided with ANSYS direct calculation method on the linear constitutive model. Within short time of the entire period, the nonlinear constitutive model was transformed through equivalent linearization for extracting the equivalent stiffness matrix. The static and dynamic response time history curves were basically coincided with the ANSYS direct calculation method. Results show that the piecewise equivalent linearization is rational and the ANSYS secondary development program is feasible and accurate.
Executable program for feature matrices extraction was written by using ANSYS secondary development tools UPFs. With MATLAB simultaneous calculation, the feature matrices of the linear elastic and nonlinear elastic-plastic constitutive model were respectively extracted. For the linear constitutive model, the extraction method of those feature matrices were derived and affirmed. All order frequencies and response curves were coincided with ANSYS direct calculation method on the linear constitutive model. Within short time of the entire period, the nonlinear constitutive model was transformed through equivalent linearization for extracting the equivalent stiffness matrix. The static and dynamic response time history curves were basically coincided with the ANSYS direct calculation method. Results show that the piecewise equivalent linearization is rational and the ANSYS secondary development program is feasible and accurate.
引文
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[6]李妍,吴斌,欧进萍.弹塑性结构等效线性化方法的对比研究[J].工程抗震与加固改造,2005,27(1):1-6.Li Yan,Wu Bin,Ou Jinping.Comparison of equivalent linearization methods for inelastic structures[J].Earthquake Resistant Engineering and Retrofitting,2005,27(1):1-6(in Chinese).
[7]曲哲,叶列平.建筑结构弹塑性地震响应计算的等价线性化法研究[J].建筑结构学报,2010,31(9):95-102.Qu Zhe,Ye Lieping.Equivalent linear analysis in estimating nonlinear seismic responses of building structures[J].Journal of Building Structures,2010,31(9):95-102(in Chinese).
[8]程光煜,叶列平.基于等效线性化方法弹塑性SDOF系统能量谱的研究[J].建筑结构,2007,37(8):74-77.Cheng Guangyu,Ye Lieping.Estimation of input energy spectra of inelastic SDOF systems with equivalent linear method[J].Building Structures,2007,37(8):74-77(in Chinese).
[9]白建方.复杂场地土层地震反应分析的并行有限元方法[D].上海:同济大学土木工程学院,2007.Bai Jianfang.Parallel Finite Element Method for Seismic Response Analysis of Irregular Site[D].Shanghai:School of Civil Engineering,Tongji University,2007(in Chinese).
[10]张国栋.土与结构相互作用体系随机地震反应分析[D].武汉:武汉大学土木建筑工程学院,2004.Zhang Guodong.Stochastic Seismic Response Analysis for Soil-Structure Interaction System[D].Wuhan:School of Civil Engineering,Wuhan University,2004(in Chinese).
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