底层大空间高层结构自由振动的实用计算方法

本文以连杆节间为界，按弹性支座上和Ｔｉｍｏｓｈｅｎｋｏ悬臂梁建立力墙部分的振动方程，按一般框架建立框架部分的振动方程，根据力，变形协调条件，形成底层大空间高层建筑结构的自由振动，并据此计算其自由振动。

A PRACTICAL METHOD FOR THE CALCULATION OF THE FREE VIBRATION OF A TALL BUILDING STRUCTURE WITH LARGE OPENING SPACE AT ITS GROUND FLOOR LEVEL

In this paper, a practical method for the calculation of the free vibration of a tall building having large opening space at its ground floor level. Firstly, the building structure is divided into substructure of the frame and substructure of the shear wall by a fictitious cutting of the connecting beams. Then the vibration equation of the shear wall substructure is set up according to the theory of the Timoshenko beam, a cantilever beam supported at the bottom end; and the vibration equation of the substructure of the frame is set up according to the theory of frame structure. Thus the free vibration equation of the whole structure is set up by a consideration of the coordination conditions of the forces and displacements between these two substructures. Basing upon these, the free vibration of such kind of structure has been calculated.