短肢剪力墙结构精细弹塑性地震反应分析
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摘要
为避免精细积分法中的矩阵求逆,采用龙格-库塔法计算状态方程的非齐次项,并与指数矩阵的精细算法结合,应用在短肢剪力墙结构的弹塑性地震反应分析中。对短肢剪力墙结构,采用考虑剪力滞后的多垂直杆弹塑性分析模型,墙肢和连梁分别采用二折线骨架曲线、退化型三折线恢复力模型。通过MATLAB语言编程以及计算结果的比较,分析表明该方法的可行性和可靠性,因此,可推广应用于短肢剪力墙结构的弹塑性地震反应分析中。
The purpose of this paper is to apply precise time-integration method on the elastoplastic seismic response of short-leg shear wall structure.In order to avoid the inverse matrix in precise time-integration method,Runge-Kutta integration scheme is used to calculate the non-homogeneous item of state equation on the base of analyzing a series of numerical integration methods.Then it is combined with the precise exponential matrix operation,which are applied in elastoplastic seismic response of short-leg shear wall structure.Muti-component elasoplastic model considering shear lag effect is applied on short-leg shear wall structure,and shear walls and coupling beams are adopted two-linearity skeleton curves and three-linearity model respectively.A program is developed by MATLAB and an example of T-shaped short-leg shear wall structure is analyzed on elastoplastic seismic response.Under the actions of El Centro wave and Taft wave,time history curves of displacement,velocity and acceleration are obtained,which are compared with those of Wilson-θ method and Newmark-β method.Results show the feasibility and reliability of the presented method.Therefore the method can be applied to elastoplastic seismic response of short-leg shear wall structure.
The purpose of this paper is to apply precise time-integration method on the elastoplastic seismic response of short-leg shear wall structure.In order to avoid the inverse matrix in precise time-integration method,Runge-Kutta integration scheme is used to calculate the non-homogeneous item of state equation on the base of analyzing a series of numerical integration methods.Then it is combined with the precise exponential matrix operation,which are applied in elastoplastic seismic response of short-leg shear wall structure.Muti-component elasoplastic model considering shear lag effect is applied on short-leg shear wall structure,and shear walls and coupling beams are adopted two-linearity skeleton curves and three-linearity model respectively.A program is developed by MATLAB and an example of T-shaped short-leg shear wall structure is analyzed on elastoplastic seismic response.Under the actions of El Centro wave and Taft wave,time history curves of displacement,velocity and acceleration are obtained,which are compared with those of Wilson-θ method and Newmark-β method.Results show the feasibility and reliability of the presented method.Therefore the method can be applied to elastoplastic seismic response of short-leg shear wall structure.
引文
[1]钟万勰.结构动力方程的精细时程积分[J].大连理工大学学报,1994,34(2):131-136.
[2]林家浩,等.串连多自由度体系弹塑性地震反应分析[J].大连工学院学报,1979,(4).
[3]王宁.高层建筑短肢剪力墙结构弹塑性模型及地震分析[D].西安:西安建筑科技大学,2004:49-51.
[4]王海波,汪梦甫,沈蒲生.开洞剪力墙的非线性地震反应分析[J].工程抗震,2000,9(3):3-5.
[5]杨泮池,崔荣泉,曲小刚.计算方法[M].西安:陕西科学技术出版社,1996.
[6]张志涌.精通MATLAB 6.5版[M].北京:北京航空航天大学出版社,2003.
[7]容柏生.高层住宅建筑中的短肢剪力墙结构体系[J].建筑结构学报,1997,18(6):14-19.
[8]Golly B W.A time-stepping procedure for structural dynamics u-sing Gauss point collocation[J].International Journal for Numeri-cal Methods in Engineering,1996,39(23):3985-3998.
[9]Kajawski J,Gallagher R H.A generalized least-squares family ofalgorithms for transient dynamic analysis[J].Earthquake Engi-neering and Structural Dynamics,1989,18(4):539-550.
[10]Turnow N,Simo J C.How to render second order accurate timestepping algorithms fourth order accurate while retaining the stabili-ty and conservation properties[J].Computer Methods in AppliedMechanics and Engineering,1994,115(3):233-252.
[2]林家浩,等.串连多自由度体系弹塑性地震反应分析[J].大连工学院学报,1979,(4).
[3]王宁.高层建筑短肢剪力墙结构弹塑性模型及地震分析[D].西安:西安建筑科技大学,2004:49-51.
[4]王海波,汪梦甫,沈蒲生.开洞剪力墙的非线性地震反应分析[J].工程抗震,2000,9(3):3-5.
[5]杨泮池,崔荣泉,曲小刚.计算方法[M].西安:陕西科学技术出版社,1996.
[6]张志涌.精通MATLAB 6.5版[M].北京:北京航空航天大学出版社,2003.
[7]容柏生.高层住宅建筑中的短肢剪力墙结构体系[J].建筑结构学报,1997,18(6):14-19.
[8]Golly B W.A time-stepping procedure for structural dynamics u-sing Gauss point collocation[J].International Journal for Numeri-cal Methods in Engineering,1996,39(23):3985-3998.
[9]Kajawski J,Gallagher R H.A generalized least-squares family ofalgorithms for transient dynamic analysis[J].Earthquake Engi-neering and Structural Dynamics,1989,18(4):539-550.
[10]Turnow N,Simo J C.How to render second order accurate timestepping algorithms fourth order accurate while retaining the stabili-ty and conservation properties[J].Computer Methods in AppliedMechanics and Engineering,1994,115(3):233-252.
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