PARAMETRIC VIBRATION MODELING AND RESONANCE ANALYSIS FOR TENSION SUSPENSION CABLE UNDER HORIZONTAL MOVABLE BOUNDARY

MIN Guangyun; LIU Xiaohui; ZHOU Xiaohui; CAI Mengqi; YI Hangyu

doi:10.13204/j.gyjzG20030204

Volume 51 Issue 4

Aug. 2021

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MIN Guangyun, LIU Xiaohui, ZHOU Xiaohui, CAI Mengqi, YI Hangyu. PARAMETRIC VIBRATION MODELING AND RESONANCE ANALYSIS FOR TENSION SUSPENSION CABLE UNDER HORIZONTAL MOVABLE BOUNDARY[J]. INDUSTRIAL CONSTRUCTION, 2021, 51(4): 99-104. doi: 10.13204/j.gyjzG20030204

Citation:

MIN Guangyun, LIU Xiaohui, ZHOU Xiaohui, CAI Mengqi, YI Hangyu. PARAMETRIC VIBRATION MODELING AND RESONANCE ANALYSIS FOR TENSION SUSPENSION CABLE UNDER HORIZONTAL MOVABLE BOUNDARY[J]. INDUSTRIAL CONSTRUCTION, 2021, 51(4): 99-104. doi: 10.13204/j.gyjzG20030204

Citation:

MIN Guangyun, LIU Xiaohui, ZHOU Xiaohui, CAI Mengqi, YI Hangyu. PARAMETRIC VIBRATION MODELING AND RESONANCE ANALYSIS FOR TENSION SUSPENSION CABLE UNDER HORIZONTAL MOVABLE BOUNDARY[J]. INDUSTRIAL CONSTRUCTION, 2021, 51(4): 99-104. doi: 10.13204/j.gyjzG20030204

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PARAMETRIC VIBRATION MODELING AND RESONANCE ANALYSIS FOR TENSION SUSPENSION CABLE UNDER HORIZONTAL MOVABLE BOUNDARY

doi: 10.13204/j.gyjzG20030204

1. Sino-French Institute of Nuclear Engineering and Technology, Sun Yat-sen University, Zhuhai 519082, China;
2. State Key Laboratory of Bridge and Tunnel Engineering in Mountain Areas, Chongqing Jiaotong University, Chongqing 400074, China;
3. College of Civil Engineering, Chongqing Jiaotong University, Chongqing 400074, China;
4. School of Architecture and Civil Engineering, Chengdu University, Chengdu 610106, China

Received Date: 2020-03-02
Available Online: 2021-08-19

Abstract

Abstract

The model of parametric vibration for tension suspension cable with horizontal movable boundary is established, and the partial differential vibration equation was derived by Hamilton Principles. According to the boundary constraint, modal superposition method, and Galerkin method, the partial differential equation was transformed into an ordinary differential equation. The modes about resonance of the ordinary differential equation were analyzed by the perturbation method, and the displacement responses of the tension suspension cable under different resonance modes were solved by using the fourth-order Runge-Kutta function. Finally, the safety of the two resonance modes was evaluated by a specific numerical example. The results showed that the displacement of the x-axis in the 1:1:1:1:1 resonance mode was only 31.25% of that in the 1:1:2:1 resonance mode, and the displacement of the z-axis in the 1:1:1:1:1 resonance mode was only 2.181% of that in the 1:1:2:1 resonance mode. The frequency of horizontal excitation was far away from the in-plane natural frequency as far as possible to ensure that the amplitude of the cable was in a safe range.
- moving boundary,
- cable,
- parametric vibration,
- resonance,
- method of multiple scales

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References(22)

References

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