【摘要】 用连续—离散化方法建立地震作用下高层剪力墙结构动力模型,通过分布参数建立剪力墙运动方程,楼层集中质量的影响通过边界条件引入,从而推导出高层剪力墙结构频率方程,然后通过数值方法求得频率及振型。通过应用Betti定律,推导出具有集中分布参数高层剪力墙结构的振型正交条件。建立每层剪力墙与楼层集中质量地震作用下的运动方程,通过引入推导的振型正交条件,进行运动方程的解耦,从而得到广义质量及广义荷载,然后通过振型叠加的方法求得结构的地震响应。通过Simulink对一幢16层剪力墙结构进行动力特性及地震作用下的仿真分析。结果表明:应用本文建立的动力模型及动力响应求解方法进行高层剪力墙结构动力特性与动力响应分析的结果与有限元分析结果基本一致,在不同连梁刚度、不同剪力墙高宽比情况下,本文动力模型及动力响应求解方法计算结构动力特性及地震响应的误差较小,满足应用的要求。更多还原

【Abstract】 The dynamic model for tall shear-wall building was presented by continuous-discrete method and the frequency equation of tall shear-wall building was obtained by the vibration theory of system with distributed parameters and introducing the boundary conditions of concentrated parameters,then frequency and mode shape were obtained by the numerical method.On the basis of the Betti law,the orthogonal conditions of modes of tall shear-wall building with concentrated and distributed parameters were deduced.Founding the motion equations of shear wall in each story and concentrated mass of each story under earthquake,the motion equations of tall shear-wall building were decoupled by orthogonal conditions and generalized mass and stiffness were obtained,then the responses of structure under earthquake excitation were solved by the mode superposition method.In order to validate the correctness of constructed dynamic model and the method of solving seismic response for tall shear-wall building,a sixteen-story shear wall building was chosen to analyze dynamic character and seismic response by Simulink simulation.Simulation results show that dynamic characteristic and seismic response obtained by constructed dynamic model and the method of solving seismic response are basically consistent with finite element,and the errors of dynamic character and seismic response obtained by constructed dynamic model and the method of solving seismic response are analyzed in the case of different stiffness of linking beam and different depth-width ratio of shear wall,which can meet the demand of application.更多还原