An analysis on parametrically excited nonlinear vertical vibration of a roller system in corrugated rolling mills

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (20) : 164-171.

HE Dongping, WANG Tao, XIE Jiaquan, REN Zhongkai，LIU Yuanming

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Abstract

Considering the nonlinear damping and nonlinear stiffness within corrugated interface of corrugated rolling mills, a model of parametrically excited nonlinear vertical vibration of the roller system was established.The stability of theroller autonomous system of corrugated rolling mills was discussed by using the singular value theory.The approximate analytical solution and amplitude-frequency characteristic equations of principal resonance and sub-resonance of roller system excited by corrugated interface were carried out by using the multiple-scale method.The influences of nonlinear stiffness coefficient, nonlinear damping coefficient, system damping coefficient and rolling force amplitude on vibration were analyzed.The correctness of the analysis results was verified by numerical simulation.

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corrugated rolling mill / parametrically excited vibration / nonlinear / principal resonance / sub-resonance

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HE Dongping, WANG Tao, XIE Jiaquan, REN Zhongkai，LIU Yuanming. An analysis on parametrically excited nonlinear vertical vibration of a roller system in corrugated rolling mills[J]. Journal of Vibration and Shock, 2019, 38(20): 164-171

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