【作者】 郭泽英；

【导师】 李青宁；

【作者基本信息】 西安建筑科技大学 ， 结构工程， 2005， 硕士

【摘要】 短肢剪力墙结构属于剪力墙体系中的一种,其兼有框架结构和剪力墙结构的优点。但是,目前关于短肢剪力墙结构的动力分析方法、动力性能和力学模型等方面的理论还很少,尚有待深入研究。本文在这些方面进行了尝试和探讨。 在动力分析方法方面,本文将精细积分法应用到短肢剪力墙结构中,提出了纽马克—精细时程法。精细积分法是一种无条件稳定的时程积分方法,但直接用其求解大型结构,则存在矩阵尺度太大的问题。针对精细积分法的缺点,本文在结构动力方程中,引入Newmark—β法的线性基本假设,将加速度从动力平衡方程中消去,使方程的阶数降为一阶,然后利用精细时程积分法进行和科茨公式的迭代格式进行逐步积分。在本文中完善地推导了纽马克—精细时程法的迭代公式。与直接应用精细积分法相比,该方法使矩阵的阶数减少一半,矩阵降阶效果非常明显,对于实际大型工程的动力时程分析具有积极的意义。通过本章的算例表明,纽马克—精细时程法具有很好的精度。 根据短肢剪力墙结构的受力和变形特点,建立了异形墙肢多垂直杆模型。在模型中,通过引入一种新的截面位移模式和节点自由度,考虑了剪力滞后效应的影响。利用变分原理推导了T形、L形短肢剪力墙的空间单元刚度矩阵。考虑实际中的弯剪变形相关,对刚度矩阵进行了修正。通过算例的结果表明,本文提出的模型真实地反映了短肢剪力墙结构的力学性能。 在本文提出的理论和动力分析方法的基础上,运用MATLAB语言研制了相应的计算机分析程序。该程序能够求出层间位移及层间剪力,以及它们的最大值;可以绘制出各层位移时程响应、加速度时程响应及速度时程响应。应用本文中编制的程序,对一算例进行了计算,并且与Wilson—θ法的时程分析结果进行比较。分析结果表明,本文提出的模型合理,纽马克—精细时程法能较好地计算出短肢剪力墙结构在地震作用下的反应时程,可以在结构地震响应分析中推广应用。更多还原

【Abstract】 Short-leg shear wall structure has the advantages of frame and shear. However, mechanical model, dynamic behavior and analytical method on this structure need to be researched more deeply.Precise time integration method is applied in short-leg shear wall, and a new scheme is put forward which is referred as Newmark-precision time history method. Basic assumption of Newmark-β method is introduced into dynamic equation and acceleration vector is eliminated from the dynamic balance equation. As a result the order of the equation is reduced to one order. Then precise time integration method and three-point integral format of Gauss are applied to integrate step by step. Interval formula of Newmark-precision time history method is also developed in this paper. Compared with precise time integration method being applied directly, the order of the equation is reduced to half of it by the scheme in this paper. Effect of decreasing order to matrix is apparent, which is of positive significance to dynamic equation of real large-size structure. It can be found that Newmark-precision time history method has some precision from comparing its calculated results to exact solution.According to mechanical property and deformation feature of short-lag shear wall, special-shaped multi-component model is put up. A new cross section displacement function and degree of freedom of nodes are introduced and improved which consider the effect of shear-lag. Space stiffness matrixes of T-shape and L-shape short-leg shear wall are derived by variational principle and they are corrected because of flexure-shear deformation correlation. It can be found that the model built in this paper accurately reflect the mechanical behavior of short-leg shear wall.On the bases of theory and method, a program is developed by MATLAB. The program is able to draw t time history curve of displacement, speed and acceleration of the building under action of earthquake. Maximum inter-story shear and maximum inter-story displacement can be also calculated. An example is analyzed applying the program, whose results are compared with those of Wilson- θ method. The analyticalresults show that the model in this paper is rational and the method can solve better time history of seismic response. Therefore they can be applied and promoted in analysis of earthquake response.更多还原