摘要
目前高层建筑结构动力分析多采用单列多质点体系而不考虑楼板变形影响。在平面复杂的情况下,需要了解在地震过程中楼板的变形和内力以采取加强措施。本文将楼板作为剪切弯曲梁,在整体刚度矩阵中叠加了楼板的刚度矩阵而组成动力方程,用Newmark-β法求解。在微型计算机上实现了这种多列并串连质点体系的直接动力分析程序DYNA3,对广州市风车形双连体住宅的分析表明:地震过程中楼板的变形和内力在允许范围之内,证明了这种住宅的可行性和分析方法的适用性。
At present, the singlecolumn-multimasses vibration system without considering the factor of floor deformation is commonly used in dynamic analysis for tall building structures. If the building with complex shaped plan located at the earthquake zone, however, it is necessary that the deformations and internal forces of floors must be carried out and corresponding seismic construction dedailing requirements should be taken in the same time. In this paper the floors of tall building structures are considered as resisting bending-shear beams, and the global stiffness matrix of structure should be superposed by the stiffness matrix of floor, then forming the dynamic equation of whole structure, and using the Newmark-β method to solve this equation.A direct dynamic analysis program DYNA3 for a multicolumns-multimasses vibration system of tall building has been completed. Using this program, an apartment building with double-windmill shaped plan has been analysed also. It shows that the deformations and shear forces on floors of this building are within admissible limited value, and the method of analysis is reasonable.
