Revisited modeling and nonlinear oscillation behaviors of multi-segment damaged suspended cables in thermal environments

Zheng, Panpan; Zhao, Yaobing; Wu, Xianqiang; Chen, Lincong

doi:10.1007/s11012-022-01556-y

Cited by 5 publications

(2 citation statements)

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“…Furthermore, even considering a single cable, some previous studies have shown that temperature variations can significantly affect its static and dynamic characteristics [33][34][35][36][37]. In recent times, significant attention has been paid to studying the non-linear vibration behavior of suspended cables that experience both single and multi-harmonic excitations in thermal conditions [38][39][40][41][42][43]. These studies aim to provide a deeper understanding of the system dynamics and the impact of thermal effects on the cable's behavior under different types of excitations.…”

Section: Introductionmentioning

confidence: 99%

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A Non-Linear Non-Planar Coupling Mechanism of Suspended Cables in Thermal Conditions

Zhi-An

Lin

Ni³

et al. 2023

Applied Sciences

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Slight variations induced by thermal effects may bring unexpected discrepancies in both the system’s linear and non-linear responses. The present study investigates the temperature effects on the non-linear coupled motions of suspended cables subject to one-to-one internal resonances between the in-plane and out-of-plane modes. The classical non-linear flexible system is excited by a uniform distributed harmonic excitation with the primary resonance. Introducing a two-mode expansion and applying the multiple scale method, the polar and Cartesian forms of modulation equations are obtained. Several parametric investigations have highlighted the qualitative and quantitative discrepancies induced by temperature through the curves of force/frequency-response amplitude, time history diagrams, phase portraits, frequency spectrum, and Poincaré sections. Based on the bifurcation and stability analyses, temperature effects on the multiple steady-state solutions, as well as static and dynamic bifurcations, it is observed that the periodic motions may be bifurcated into the chaotic motions in thermal environments. The saddle-node, pitch-fork, and Hopf bifurcations are sensitive to temperature changes. Finally, our perturbation solutions are confirmed by directly integrating the governing differential equations, which yield excellent agreement with our results and validate our approach.

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Section: Introductionmentioning

confidence: 99%

“…Nevertheless, a single-degree-of-freedom model has been used in some previous studies [38][39][40][41][42][43], and the modal interactions are all neglected for simplicity. Since multiple modes are included, the internal resonant responses cannot be ignored.…”

Section: Introductionmentioning

confidence: 99%