多肢剪力墙自振频率传递矩阵法简化计算
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摘要
基于连续体系模型与传递矩阵法的结合,提出了一种简化方法来计算多肢剪力墙的动力特性。整个结构体系等效模拟为一个夹层结构梁;建立了相应的基本微分方程;通过求解微分方程得到了楼层间变形函数;利用边界条件及层间变形函数导出了层间传递矩阵;据此计算出了体系的振型与自振频率。算例分析表明本文方法计算结果与文献给出的解是比较吻合的。
An approximate calculation method based on the continuum approach and transfer matrix method for dynamic analyses of coupled shear wall structures is presented.The whole structure is idealized as a sandwich beam in this method.Initially the differential equation of this equivalent sandwich beam is developed,and then shape functions for each storey can be obtained by the solution to differential equations.By using boundary conditions and storey transfer matrices,which are obtained by these shape functions,system modes and natural frequencies of vibration can be calculated.Reliability of the study is shown with a few examples.The results of the examples display the agreement between the present method and the other methods given in the references.
An approximate calculation method based on the continuum approach and transfer matrix method for dynamic analyses of coupled shear wall structures is presented.The whole structure is idealized as a sandwich beam in this method.Initially the differential equation of this equivalent sandwich beam is developed,and then shape functions for each storey can be obtained by the solution to differential equations.By using boundary conditions and storey transfer matrices,which are obtained by these shape functions,system modes and natural frequencies of vibration can be calculated.Reliability of the study is shown with a few examples.The results of the examples display the agreement between the present method and the other methods given in the references.
引文
[1]Rosman R.Approximate analysis of shear walls subject to lateral loads[J].Proceedings of the American Concrete Institute,1964,61(6):717-734.
[2]Basu A,Nagpal A K,Bajaj R S,et al.Dynamic characteristics of coupled shear walls[J].Journal of the Structural Division,ASCE,1979,105:1637-1651.
[3]Coull A,Smith B S.Tall buildings1[M].In Handbook of Structural Concrete,Kong FK,Evans RH,Cohen E,Roll F.Pitman Books Limited:London,1983.
[4]Li G Q,Choo B S.A continuous-discrete approach to the free vibration analysis of stiffened pierced walls on flexible foundations[J].Internation-al Journal of Solids and Structures,1996,33(2):249-263.
[5]Akso an O,Arslan H M,Choo B S.Forced vibration analysis of stiffened coupled shear walls using continuous connection method[J].Engineer-ing Structures,2003,25:499-506.
[6]Ha H H,Tan T M H.An efficient analysis of continuum shear wall models[J].Canadian Journal of Civil Engineering,1999,26:425-433.
[7]Zeidabadi N A,Mirtalae K,Mobasher B.Optimized use of the outrigger system to stiffen the coupled shear walls in tall buildings[J].Structural Design of Tall and Special Buildings,2004,13:9-27.
[8]Chaallal O,Ghamallal N.Seismic response of flexibly supported coupled shear walls[J].Journal of Structural Engineering,ASCE,1996,122(10):1187-1197.
[9]Smith B S.Modified beam method for analyzing symmetrical shear walls[J].Journal of American Concrete Institute,1970,67(2):977-980.
[10]Kwan A K H.Mixed finite elements for analysis of coupled shear/core walls[J].Journal of Structural Engineering,ASCE,1993,119(59):1388-1408.
[11]Kwan A K H.Equivalence of finite elements and analogous frame modules for shear/core wall analysis[J].Computers and Structures,1995,57(2):193-203.
[12]Chaallal O.Finite element model for seismic RC coupled walls having slender coupling beams[J].Journal of Structural Engineering,ASCE,1992,118(10):2936-2943.
[13]Kim H S,Lee D G.Analysis of shear wall with openings using super elements[J].Engineering Structures,2003,25:981-991.
[14]季静,韩小雷,郑宜,等.基于能力设计原理的多肢剪力墙极限承载力研究[J].地震工程与工程振动,2006,26(4):114-120.
[15]Rashed Y F.Analysis of building shear walls using boundary elements[J].Engineering Analysis with Boundary Elements,2000,24:287-293.
[16]Potzta G,Kollar L P.Analysis of building structures by replacement sandwich beams[J].International Journal of Solids and Structures,2003,40(3):535-553.
[17][美]R.克拉夫,J.彭津.结构动力学[M].王光远等译校.2版.北京:高等教育出版社,2006.
[2]Basu A,Nagpal A K,Bajaj R S,et al.Dynamic characteristics of coupled shear walls[J].Journal of the Structural Division,ASCE,1979,105:1637-1651.
[3]Coull A,Smith B S.Tall buildings1[M].In Handbook of Structural Concrete,Kong FK,Evans RH,Cohen E,Roll F.Pitman Books Limited:London,1983.
[4]Li G Q,Choo B S.A continuous-discrete approach to the free vibration analysis of stiffened pierced walls on flexible foundations[J].Internation-al Journal of Solids and Structures,1996,33(2):249-263.
[5]Akso an O,Arslan H M,Choo B S.Forced vibration analysis of stiffened coupled shear walls using continuous connection method[J].Engineer-ing Structures,2003,25:499-506.
[6]Ha H H,Tan T M H.An efficient analysis of continuum shear wall models[J].Canadian Journal of Civil Engineering,1999,26:425-433.
[7]Zeidabadi N A,Mirtalae K,Mobasher B.Optimized use of the outrigger system to stiffen the coupled shear walls in tall buildings[J].Structural Design of Tall and Special Buildings,2004,13:9-27.
[8]Chaallal O,Ghamallal N.Seismic response of flexibly supported coupled shear walls[J].Journal of Structural Engineering,ASCE,1996,122(10):1187-1197.
[9]Smith B S.Modified beam method for analyzing symmetrical shear walls[J].Journal of American Concrete Institute,1970,67(2):977-980.
[10]Kwan A K H.Mixed finite elements for analysis of coupled shear/core walls[J].Journal of Structural Engineering,ASCE,1993,119(59):1388-1408.
[11]Kwan A K H.Equivalence of finite elements and analogous frame modules for shear/core wall analysis[J].Computers and Structures,1995,57(2):193-203.
[12]Chaallal O.Finite element model for seismic RC coupled walls having slender coupling beams[J].Journal of Structural Engineering,ASCE,1992,118(10):2936-2943.
[13]Kim H S,Lee D G.Analysis of shear wall with openings using super elements[J].Engineering Structures,2003,25:981-991.
[14]季静,韩小雷,郑宜,等.基于能力设计原理的多肢剪力墙极限承载力研究[J].地震工程与工程振动,2006,26(4):114-120.
[15]Rashed Y F.Analysis of building shear walls using boundary elements[J].Engineering Analysis with Boundary Elements,2000,24:287-293.
[16]Potzta G,Kollar L P.Analysis of building structures by replacement sandwich beams[J].International Journal of Solids and Structures,2003,40(3):535-553.
[17][美]R.克拉夫,J.彭津.结构动力学[M].王光远等译校.2版.北京:高等教育出版社,2006.
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