非平稳地震激励下高耸电视塔结构非线性响应的统计线性化分析
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摘要
采用统计线性化的分析方法,研究了高耸电视塔结构在非平稳地震激励下考虑几何非线性效应时等效参数阵的计算方法,给出了等效参数阵的有限单元计算表达式,研究了相应的非零均值非平稳时变系统的计算算法,并对洛阳电视塔结构进行了计算研究。
Tall TV towers have been built in P. R. China from time to time recently. Since, to our best knowledge, there does not exist any paper in the open literature on the rather complex problem indicated by the title of our paper, we have to investigate it ourselves. We employ FEM (finite element method) to establish eqs. (1) through (16) as the geometric nonlinear dynamic equations of tall TV tower structure under non-stationary seismic excitation . Among these sixteen equations, eqs. (10) through (14) are the most important. Using the stochastic linearization technique, we discuss the equivalent parameter calculation methods for eqs. (1) through (16) and obtain the finite element expressions in eqs. (11) and (14). Section 4 discusses the TV tower built in 1994 in Luoyang, Henan province, P. R. China as a numerical example. Figs. 2 through 4 show the calculated results, which indicate preliminarily that the rather complex problem solved in this paper must be faced if excessive responses of upper part of TV tower need be guarded against.
Tall TV towers have been built in P. R. China from time to time recently. Since, to our best knowledge, there does not exist any paper in the open literature on the rather complex problem indicated by the title of our paper, we have to investigate it ourselves. We employ FEM (finite element method) to establish eqs. (1) through (16) as the geometric nonlinear dynamic equations of tall TV tower structure under non-stationary seismic excitation . Among these sixteen equations, eqs. (10) through (14) are the most important. Using the stochastic linearization technique, we discuss the equivalent parameter calculation methods for eqs. (1) through (16) and obtain the finite element expressions in eqs. (11) and (14). Section 4 discusses the TV tower built in 1994 in Luoyang, Henan province, P. R. China as a numerical example. Figs. 2 through 4 show the calculated results, which indicate preliminarily that the rather complex problem solved in this paper must be faced if excessive responses of upper part of TV tower need be guarded against.
引文
[1]张洵安．高耸电视塔结构地震及风载作用下动力学研究:[博士论文]．西安:西北工业大学,2000
[2] 朱位秋．随机振动．北京:科学出版社,1998
[3] 张洵安,姜节胜．结构非线性动力方程的精细积分算法．应用力学学报,2000,17(4):164~168
[4]Orabi I I,Ahmadi G．An Iterative Method for Nonstationary Response Analysis of Non-linear Random Systems．JSV,
1987,119:145~157
[5]Zhang T S,Fang T．An Iterative Method for Nonstationary Random Response Analysis of MDOF Nonlinear Systems．
Proc 10th IMAC,1992,1142-1147
[2] 朱位秋．随机振动．北京:科学出版社,1998
[3] 张洵安,姜节胜．结构非线性动力方程的精细积分算法．应用力学学报,2000,17(4):164~168
[4]Orabi I I,Ahmadi G．An Iterative Method for Nonstationary Response Analysis of Non-linear Random Systems．JSV,
1987,119:145~157
[5]Zhang T S,Fang T．An Iterative Method for Nonstationary Random Response Analysis of MDOF Nonlinear Systems．
Proc 10th IMAC,1992,1142-1147
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