Combined joint resonance responses of suspended cable subject to multi-frequency excitation in thermal environment

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (3) : 207-213.

ZHAO Yaobing，LIN Henghui，HUANG Chaohui，CHEN Lincong

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Abstract

Here, considering effects of temperature on cable’s tension force and sag, nonlinear equations of motion of a suspended cable under multi-frequency excitation were derived by using Hamilton’s principle and the quasi-static hypothesis.Galerkin procedure was adopted to discretize nonlinear dynamic equations.When the system’s combined joint resonances happened, the amplitude-frequency response equations were solved using the multi-scale method considering the first order symmetric mode, and the stability of their steady-state solutions was judged.Considering 4 sag-to-span ratios and 4 temperature variation cases, through numerical examples the response characteristics of the suspended cable system’s combined joint resonances and the effects of temperature were studied.The results showed that the system under multi-frequency excitation exhibits the characteristics of combined resonances and super-harmonic resonances simultaneously; number of steady-state solutions, interval of resonances, amplitude and phase of responses all vary; temperature variation can make combined resonances and super-harmonic ones have qualitative and quantitative changes; temperature variation affects the system’s combined joint resonance responses, they are closely related to the cable’s sag-to-span ratio and temperature change amplitude; studying phase of steady-state solutions under multi-frequency excitation can distinguish these solutions better.

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Suspended cable / temperature field / multi-frequency excitation / combination resonance / simultaneous resonance .

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ZHAO Yaobing，LIN Henghui，HUANG Chaohui，CHEN Lincong. Combined joint resonance responses of suspended cable subject to multi-frequency excitation in thermal environment[J]. Journal of Vibration and Shock, 2019, 38(3): 207-213

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