地震作用下空间框架结构层间相对位移响应梯度和海赛矩阵的计算
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摘要
提出一种在地震作用下空间框架结构层间相对位移响应梯度和海赛矩阵的精确计算方法。在有限单元法和纽马克-β法的基础上推导出在地震作用下空间框架结构层间相对位移响应梯度和海赛矩阵的计算公式,给出在地震作用下空间框架结构层间相对位移响应梯度和海赛矩阵的计算步骤,用Matlab语言编制了空间框架结构层间相对位移响应梯度和海赛矩阵的计算程序,实现了空间框架结构层间相对位移响应梯度和海赛矩阵的精确计算。最后通过一个二层空间框架结构的计算实例表明本文所提出的计算方法是有效的。
The paper presents an accurate algorithm of calculating the interstorey drift response gradient and Hessian matrix of the spatial frame structures under the earthquake motion.The formulas for the interstorey drift response gradient and Hessian matrix of the spatial frame structures subjected to the earthquake excitation were derived based on the finite element and Newmark-β methods.The computational steps of the interstorey drift response gradient and Hessian matrix of the spatial frame structures subjected to the earthquake excitation were designed for compiling programme in matlab language.The method umplements the computation of interstorey drift response gradient and Hessian matrix of spatial frame structures in accurate degree.Finally,a two-story spatial frame structures was demonstrated as an example.The numerical result indicates the algorithm is effective.
The paper presents an accurate algorithm of calculating the interstorey drift response gradient and Hessian matrix of the spatial frame structures under the earthquake motion.The formulas for the interstorey drift response gradient and Hessian matrix of the spatial frame structures subjected to the earthquake excitation were derived based on the finite element and Newmark-β methods.The computational steps of the interstorey drift response gradient and Hessian matrix of the spatial frame structures subjected to the earthquake excitation were designed for compiling programme in matlab language.The method umplements the computation of interstorey drift response gradient and Hessian matrix of spatial frame structures in accurate degree.Finally,a two-story spatial frame structures was demonstrated as an example.The numerical result indicates the algorithm is effective.
引文
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[4]Moghaddam H,Hajirasouliha I,Doostan A.Opti-mum seismic design of concentrically braced steelframes:concepts and design procedures[J].Journalof Constructional Steel Research,2005,61:151-166.
[5]Nikos D L,Michalis F,Manolis P.Structural opti-mization:a tool for evaluating seismic design proce-dures[J].Engineering Structures,2006,28:1623-1633.
[2]Bogomolni M,Kirsch U,Sheinman I.Efficient de-sign sensitivities of structures subjected to dynamicloading[J].International Journal of Solids andStructures,2006,43:5485-5500.
[3]Zou X K,Chan C M.An optimal resizing techniquefor seismic drift design of concrete buildings subjectedto response spectrum and time history loadings[J].Computers and Structures,2005,83:1689-1704.
[4]Moghaddam H,Hajirasouliha I,Doostan A.Opti-mum seismic design of concentrically braced steelframes:concepts and design procedures[J].Journalof Constructional Steel Research,2005,61:151-166.
[5]Nikos D L,Michalis F,Manolis P.Structural opti-mization:a tool for evaluating seismic design proce-dures[J].Engineering Structures,2006,28:1623-1633.
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