双索非线性振动瞬时相位差及其来源

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Abstract In order to ascertain the phenomenon of synchronous and asynchronous vibration between cables, the instantaneous phase-frequency characteristics of double cables with different parameters are studied. The dimensionless dynamic equations of motion for the dual-cable-mass model were derived. The discrete ordinary differential equations were obtained using the Galerkin method and solved by the Method of Multiple Scales. The Runge-Kutta method and the Finite Element method are used parallelly to execute verification, and the results agree well with each other. The sources of the instantaneous phase difference of two cables with different parameters are analyzed, which show that the influence of high-order approximation on instantaneous phase cannot be ignored in some frequency range. The instantaneous phase difference of the double cables comes from two aspects: one is the difference in the phase shift value γ in the linear solution; the other is the difference in the proportion of the drift term parameters 𝛽 in the high-order approximate solution.

Key words： Cable structure Nonlinear vibration Instantaneous phase difference Phase-frequency characteristic Drift term

Received: 17 September 2021 Published: 15 January 2022

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	Articles by authors
	SUN Ceshi1
	LIN Junqiang1
	DENG Zhengke2

Cite this article:

SUN Ceshi1,LIN Junqiang1,DENG Zhengke2. Instantaneous phase difference between nonlinear vibrations of double cables and its origin[J]. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(1): 66-73.

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http://jvs.sjtu.edu.cn/EN/ OR http://jvs.sjtu.edu.cn/EN/Y2023/V42/I1/66

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