金字塔形高层框架结构的自振频率  

Natural Frequency of Pyramid-Type High-Rise Frame Building

作　　者：谭英辉 吴传侠[1] 杨骁[1] 

机构地区：[1]上海大学土木工程系,上海200072

出　　处：《力学季刊》2014年第3期435-446,共12页Chinese Quarterly of Mechanics

摘　　要：根据某一金字塔型高层建筑结构的初步设计,将该结构简化为一个二维刚-柔组合结构体系,基于Hamilton原理,建立了该简化结构体系动力响应分析的边界值问题.在此基础上,利用变量分离,给出了其自振频率的特征方程,通过数值计算,考察了斜向剪力墙筒体刚度、中间加强层转动刚度和位置、结构顶部刚性层质量以及金字塔型结构倾角等对自振频率的影响,结果表明:斜向剪力墙筒体抗弯刚度对自振频率有显著的影响,自振频率随剪力墙筒体抗弯刚度的增加而增加;尽管剪力墙筒体发生横向弯曲与轴向拉伸的耦合变形,但其振形的弯曲变形远大于其轴向变形;加强层抗弯刚度对自振频率的影响较小,但其位置对第三自振频率的影响较为明显.同时,斜向剪力墙筒体倾角对自振频率的影响较为复杂.According to the structural preliminary design of a Pyramid-type high-rise building, the smrcture was simplified as a two-dimensional rigid-flexible composite structure system, and the boundary value problem for dynamic analysis of such simplified structure system was established with the Hamilton principle. Then, its characteristic equation of the natural frequency was derived with method of separation of variables. The infuences of the flexural rigidity of the oblique shear wall tube, the ration stiffness and position of the middle stiffened mat, mass of the rigid layer at the structure top and the obliquity angle of the Pyramid-type structure on the natural frequencies were examined numerically. It is revealed that the influence of the flexural rigidity of the oblique shear wall tube on the frequencies is significant, and the natural frequencies increase with increasing of the flexural rigidity of the shear wall tube; Although the coupled deformation of transverse bending and axial tension occurs in the the shear wall tube, its bending deformation is much larger than its axial deformation; The the ration stiffness of the stiffened mat has a little influence on the natural frequencies, but its position has obvious influence on the third frequency. Furthermore, the influence of the angle of the oblique shear wall tube on the natural frequencies is relatively complicated.

关 键 词：刚-柔组合结构 HAMILTON原理 自振频率 加强层 参数分析 斜向剪力墙筒体 

分 类 号：TU398.2[建筑科学—结构工程] TU375.1