浸液轴向变速运动黏弹性板的组合参数共振

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Abstract An axially moving viscoelastic plate immersed in the liquid, having the variable speed, was considered.According to the classical thin plate theory and the d'Alembert’s principle, the governing equation of the transverse vibration of the system was derived.The liquid was assumed as ideal fluid and thus was inviscid, irrotational, and incompressible.The dynamic pressure of fluid on the plate could be described by added plate mass.Then, using the method of multiple scales, we analyzed the partial differential equations and boundary conditions of the system.Based on the solvability conditions and the Routh-Hurwitz criterion, the instability regions for sum-type and difference-type combination resonances of the system were determined.Finally, the effects of different parameters on the instability regions of the two kinds of combination resonance were discussed.

Key words： Axially moving plate with variable speed liquid parametric resonance multiple scale method viscoelasticity

Received: 14 November 2017 Published: 15 April 2019

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	Articles by authors
	ZHANG Yufei1
	2
	LIU Jintang2
	WEN Bangchun1

Cite this article:

ZHANG Yufei1,2,LIU Jintang2, et al. Parametric combination resonance of an axially moving viscoelastic variable speed plate immersed in liquid[J]. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(8): 69-74.

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http://jvs.sjtu.edu.cn/EN/ OR http://jvs.sjtu.edu.cn/EN/Y2019/V38/I8/69

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