基于支座位移输入的频域地震反应分析方法
|
摘要
提出了一种基于支座位移输入的频域地震反应分析方法,研究了结构在基础位移输入下的动力反应。首先根据结构在地震荷载作用下的受力机理建立了基础处的荷载点矩阵,然后结合频域精细传递矩阵理论建立结构的整体传递矩阵,输入地震位移傅立叶谱,运用边界条件进行求解,得出结构的动力反应。在上述算法的基础上进行了相应的算例分析,所得结果表明方法是有效、可行的。该法具有计算简单,思路清晰,节约内存等优点,可方便、高精度的进行结构的地震反应分析。
The analysis method for seismic response in frequency domain based on input of support displacement was put forward,and the dynamic response of the structure with foundation displacement input was studied.First the load point matrix of the foundation was established in accordance with the load mechanism of the structure under seismic load action,and then the integral transfer matrix of the structure was established in combination with precise transfer matrix theory of frequency domain.Input fourier spectrum of seismic displacement,find the solutions using boundary conditions,and obtain the dynamic response of the structure.Based on the algorithm mentioned above,some examples were analyzed,and the results indicate that this method is effective and feasible.The method has the advantages of simple calculation,clear thinking and internal storage saving,which can be conveniently used for high accuracy seismic response analysis of structures.
The analysis method for seismic response in frequency domain based on input of support displacement was put forward,and the dynamic response of the structure with foundation displacement input was studied.First the load point matrix of the foundation was established in accordance with the load mechanism of the structure under seismic load action,and then the integral transfer matrix of the structure was established in combination with precise transfer matrix theory of frequency domain.Input fourier spectrum of seismic displacement,find the solutions using boundary conditions,and obtain the dynamic response of the structure.Based on the algorithm mentioned above,some examples were analyzed,and the results indicate that this method is effective and feasible.The method has the advantages of simple calculation,clear thinking and internal storage saving,which can be conveniently used for high accuracy seismic response analysis of structures.
引文
[1]范立础.桥梁抗震[M].上海:同济大学出版社,1996.
[2]Panc V.Theories of elastic plates[M].Leyden:Noordhoff,1975.
[3]Cheng S.Elasticity theory of plates and a refined theory[J].Journal of Application Mechanics,1979,46:644-650.
[4]Wang F Y.Two-dimensional theories deduced from three-dimensional theory for a transversely isotropic body-I:Plate problems[J].International Journal of Solids and Structures,1990,26:455-470.
[5]Wang W,Shi M X.Thick plate theory based on general solutions of elasticity[J].Acta Mechanica,1997,123:27-36.
[6]孙军举,曲线高架桥在非一致地震作用下的随机反应分析[D].西安:西安建筑科技大学,2008.
[7]柳国环,李宏男,国巍等.求解结构地震相应位移输入模型中存在问题的一种新解决方法[J].工程力学,2010,27(9):55-62.
[8]孙建鹏,李青宁.曲线桥结构分析的精细传递矩阵法[J].应用力学学报,2010,27(1):196-199.
[9]孙建鹏,李青宁.多点地震输入下结构地震反应的频域精细传递矩阵法[J].建筑结构学报,2010,31(2):48-54.
[10]孙建鹏,李青宁.求解结构自振频率的精细传递矩阵法[J].世界地震工程,2009,25(2):140-145.
[11]朱镜清.结构抗震分析原理[M].北京:地震出版社,2004.
[12]李青宁.变截面杆元传递矩阵法[J].西安建筑科技大学学报,1997,33(1):18-22.
[13]Zhong W X,Williams F W.A precise time step integration method[J].Journal of Mechanical Engineering Science,1994,20(8):427-430.
[14]刘庆潭,倪国荣.结构分析中的传递矩阵法[M].北京:中国铁道出版社,1997.
[15]董刚,朱镜清.结构地震反应分析的频域传递矩阵法[J].计算结构力学及其应用,1994,11(4):429-435.
[2]Panc V.Theories of elastic plates[M].Leyden:Noordhoff,1975.
[3]Cheng S.Elasticity theory of plates and a refined theory[J].Journal of Application Mechanics,1979,46:644-650.
[4]Wang F Y.Two-dimensional theories deduced from three-dimensional theory for a transversely isotropic body-I:Plate problems[J].International Journal of Solids and Structures,1990,26:455-470.
[5]Wang W,Shi M X.Thick plate theory based on general solutions of elasticity[J].Acta Mechanica,1997,123:27-36.
[6]孙军举,曲线高架桥在非一致地震作用下的随机反应分析[D].西安:西安建筑科技大学,2008.
[7]柳国环,李宏男,国巍等.求解结构地震相应位移输入模型中存在问题的一种新解决方法[J].工程力学,2010,27(9):55-62.
[8]孙建鹏,李青宁.曲线桥结构分析的精细传递矩阵法[J].应用力学学报,2010,27(1):196-199.
[9]孙建鹏,李青宁.多点地震输入下结构地震反应的频域精细传递矩阵法[J].建筑结构学报,2010,31(2):48-54.
[10]孙建鹏,李青宁.求解结构自振频率的精细传递矩阵法[J].世界地震工程,2009,25(2):140-145.
[11]朱镜清.结构抗震分析原理[M].北京:地震出版社,2004.
[12]李青宁.变截面杆元传递矩阵法[J].西安建筑科技大学学报,1997,33(1):18-22.
[13]Zhong W X,Williams F W.A precise time step integration method[J].Journal of Mechanical Engineering Science,1994,20(8):427-430.
[14]刘庆潭,倪国荣.结构分析中的传递矩阵法[M].北京:中国铁道出版社,1997.
[15]董刚,朱镜清.结构地震反应分析的频域传递矩阵法[J].计算结构力学及其应用,1994,11(4):429-435.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心