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本文将顶层空旷多层房屋的屋盖系统简化为支承在刚性楼板上的弹性基础剪切梁,并将其余各层简化为剪切型多质点系,建立了耦联体系在地震干扰运动影响下的积分一微分方程组,提出了求解自由振动和地震作用下强迫振动问题的完整计算方法。在求解自由振动问题时,本文应用了弹性基础剪切梁在谐振荷载影响下强迫振动的某些基本概念和分析结果,使计算工作大大简化。这一方法对于求解某些复杂耦联体系的自振问题具有一定普遍意义。本文最后一部分以唐山地震中遭受破坏的塘沽某四层厂房为实例,用文中提供的方法求解了自由振动和在地震作用下的强迫振动问题,同时进行了顶层柱子的抗震强度验算,结果较好地解释了实际震害。
This paper simplifies the roof system of the open-floor multi-storey building into an elastic foundation shear beam supported on a rigid floor, and simplifies the rest of the layers to a shear-type multi-particle system, establishing a coupling system under the influence of seismic disturbance movements. Integral-differential equations, a complete calculation method for solving the problem of forced vibration under free vibration and earthquakes is proposed. When solving the free vibration problem, some basic concepts and analysis results of the forced vibration of the elastic foundation shear beam under the influence of the resonant load are applied in this paper, which greatly simplify the calculation work. This method has certain universal significance for solving the self-oscillation problem of some complex coupling systems. The last part of this paper takes a four-story factory building in Tanggu destroyed in the Tangshan earthquake as an example. The free vibration and forced vibration under earthquake are solved by the method provided in the paper. At the same time, the seismic strength of the top column is checked and the result is better. Explained the actual earthquake damage.