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本文将框一剪结构模拟成为下端固定承受地震荷载的悬臂梁,建立了在梁某一水平截面上的剪力平衡方程。用微分方程法推出了考虑剪力墙弯曲变形和框架柱轴向变形时的结构变形曲线;并考虑了框架柱轴向变形对结构自振周期的影响,用能量法导出了周期的计算公式;用施加顶部集中荷载的简化方法模拟了高振型的影响。这样,建立了考虑剪力墙弯曲变形,框架柱轴向变形和高振型影响的数学模型,用于确定剪力墙的最优数量。最后给出一个工程实例说明此数学模型的解。本文是框架一剪力墙高层建筑(高度50米以下)结构抗地震荷载剪力墙数量优化分析工作的继续。
In this paper, a frame-shear structure is modeled as a cantilever beam with a fixed seismic load on its lower end, and a shear balance equation is established on a horizontal section of the beam. The deformation curve of the shear wall considering the bending deformation of the shear wall and the axial deformation of the frame column is introduced by the differential equation method. The influence of the axial deformation of the frame column on the natural period of the structure is considered. The formula of the cycle is derived by the energy method. The effect of high mode shape was simulated using a simplified method of applying a top concentrated load. In this way, a mathematical model that considers the bending deformation of shear walls, the axial deformation of frame columns, and the effect of high vibration modes is established to determine the optimal number of shear walls. Finally, an engineering example is given to illustrate the solution of this mathematical model. This paper is a continuation of the optimization analysis of seismic load shear walls for a frame-shear wall high-rise building (below 50 meters in height).