Resonance analysis between deck and cables in cable-stayed bridges with coupling effect of adjacent cables considered
Resonance analysis between deck and cables in cable-stayed bridges with coupling effect of adjacent cables considered
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DOI：
10.1007/s11071-022-08180-1
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发表时间：
2022-12
影响因子：
5.6
通讯作者：
Houjun Kang;Yunpeng Cai;Yunyue Cong;Xiaoyang Su;Guirong Yan
中科院分区：
文献类型：
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作者：
Houjun Kang;Yunpeng Cai;Yunyue Cong;Xiaoyang Su;Guirong Yan
针对大跨度斜拉桥，建立了浅拱多索体系的非线性动力模型。针对斜拉桥的转向现象，研究了主共振和亚谐共振下浅拱一阶模态与斜拉索一阶模态的面内模态内共振。通过Galerkin离散和多尺度法得到了动力学系统的调制方程，其中调制方程的平衡解由Newton-Raphson方法得到。同时，应用龙格-库塔法直接求解常微分方程，验证了摄动分析的准确性。数值分析表明，相邻拉索发生内共振，能量传递机制和系统的动力学行为变得更加复杂。
The nonlinear dynamic model of a shallow arch with multiple cables is developed to model a long-span cable-stayed bridge. Based on the veering phenomenon of cable-stayed bridges, the in-plane modal internal resonance between the first mode of the shallow arch and the first mode of the cable is investigated under both primary resonance and subharmonic resonance. Modulation equations of the dynamic system are obtained by Galerkin discretization and the multiple scales method, in which the equilibrium solution of modulation equations is obtained by the Newton–Raphson method. Meanwhile, the Runge–Kutta method is applied to directly solve the ordinary differential equations to verify the accuracy of the perturbation analysis. Numerical analysis shows that the internal resonance occurs in adjacent cables; the energy transfer mechanism and the dynamic behavior of system become more complex.