变截面高层筒体结构的共振响应  

THE RESONANT RESPONSE OF TALL TUBULAR BUILDING STRUCTURES WITH VARIABLE CROSS-SECTIONS

作　　者：张伟杰[1] 

机构地区：[1]中国煤炭科工集团北京华宇工程有限公司,河南平顶山467002

出　　处：《工业建筑》2013年第S1期218-221,202,共5页Industrial Construction

摘　　要：为了计算变截面高层筒体结构的共振响应,将其简化成能同时考虑弯曲、剪切、轴向变形和扭转变形的变截面广义Timoshenko悬臂梁。利用Hamilton原理,导出变截面高层筒体结构在相应于各种变形的地震激励下的位移响应控制微分方程及相应的边界条件后,利用常微分方程求解器进行求解。通过对计算结果分析,讨论了影响共振响应的因素,并得出了较合理的结论:即当激励荷载的频率与结构体系的自振频率很接近时,结构的反应会出现非常大的突变。In order to calculate the resonant response of tall tubular building structures with variable cross-sections,a generalized Timoshenko cantilever with variable cross-sections considering the bending,shear,axial and torsional deformation was adopted.Based on the Hamiltonian principle,the differential equations of displacement response under seismic excitations associated with the deformations of tall tubular building structures with variable crosssections and corresponding boundary conditions were derived.These equations were solved by using ordinary differential equation solver.By analyzing the results,the factors that affect the resonant response were discussed,and a reasonable conclusion was obtained.It is found that the response of the structure experiences enormous increment when the frequency of the excitation load is very close to the natural frequency of the structure.

关 键 词：变截面 筒体结构 共振响应 Timoshenko悬臂梁 常微分方程求解器 

分 类 号：TU973.2[建筑科学—结构工程]