耦合索股系统自振特性与索力全局识别算法

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摘要索是缆索承重结构重要的受力构件，索力直接影响结构的服役状态与使用寿命。对于局部刚性耦合的索股结构，索股振动具有独立性和耦联性，系统呈现的整体振动与完全独立或完全耦合的索股系统振动特性均不同。为了对局部刚性耦合的索股系统的索力进行有效识别，首先建立耦合多索股模型并推导了系统的振动方程，根据系统的频率方程对系统的自振特性进行参数分析；然后将填充函数法和最优化理论相结合，构建了耦合索股系统索力识别算法，实现了索力全局识别；最后通过试验和有限元仿真验证了算法的正确性和可靠性。结果表明：刚性耦合使各索股振动同频，索股系统的自振频率在整数倍频之间出现了分数倍频，在整体振型之间出现局部振型；本文所提出的基于全局最优化理论的索力识别算法对迭代初值要求低，计算精度和收敛效率高，可扩展到其他参数识别问题中。

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	张卓杰1
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	王熙程1
	武朝帅1
	甄晓霞3
	李丹枫4

关键词 ：刚性耦合, 自振特性, 填充函数, 全局最优化, 索力识别

Abstract：Cable is an essential force transmission component of the cable supported structures, and its cable force directly affects the service condition and lifespan of the structures. In general, for cable supported structures with locally rigid coupling, the cable strand vibration is independent and coupled. the vibration characteristics of the parallel strand cables are different from those of the single cable strand or the cables with good integrity. In order to effectively identify the tensions in the parallel strand cables with rigid couplings, Firstly, the model of multi-strand coupled system was established and the vibration equations of the system was derived, According to the vibration equations of the system, the parametric analysis of vibration characteristics was performed on the coupled system; Then, combined the filled function method and optimization theory, the identification algorithm for cable force of multi rigid couplings cable strands was constructed, the global identification of cable force was realized; Finally, the correctness and reliability of the algorithms were demonstrated by the experiment and finite element simulation. The results show that the rigid coupling ensures that each cable strand vibrates synchronously, the natural vibration frequencies of the parallel strand cables appear fractional frequency doubling, and there are local differences in the overall vibration modes; The cable force identification algorithm based on global optimization theory proposed in this paper exhibits low requirements for initial values, high calculation accuracy, and convergence efficiency, and can be extended to other parameter identification problems.

Key words： rigid couplings natural vibration characteristics filled function global optimization tension identification

收稿日期: 2023-07-31 出版日期: 2024-05-15

引用本文:

张卓杰1, 2，王熙程1，武朝帅1，甄晓霞3，李丹枫4. 耦合索股系统自振特性与索力全局识别算法[J]. 振动与冲击, 2024, 43(9): 27-35.
ZHANG Zhuojie1,2, WANG Xicheng1, WU Zhaoshuai1, ZHEN Xiaoxia3, LI Danfeng4. Natural vibration characteristics of coupled cable strand system and global identification algorithm for cable force. JOURNAL OF VIBRATION AND SHOCK, 2024, 43(9): 27-35.

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http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2024/V43/I9/27

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