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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 resonance response of high-rise cylindrical structure with variable section, the generalized Timoshenko cantilever beam with variable section can be simplified to consider both bending, shearing, axial deformation and torsional deformation. Using the Hamilton principle, the displacement response differential equations and the corresponding boundary conditions of the high-rise cylindrical shell with variable section under seismic excitation are deduced and solved by the ordinary differential equation solver. Through analyzing the calculation results, the factors that affect the resonance response are discussed, and the reasonable conclusion is drawn that when the excitation load frequency is very close to the natural frequency of the structure, the structure reaction will have a very large mutation.