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Author:

Zhang, Wei (Zhang, Wei.) | Zhou, Rui (Zhou, Rui.) | Zu, Jean W. (Zu, Jean W..) | Wang, Qian (Wang, Qian.)

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EI Scopus

Abstract:

In this paper, the nonlinear vibration of a thin-plate workpiece during milling process is investigated. The thin-plate workpiece is modeling as a cantilevered thin plate. The equations of motion for the thin-plate workpiece are derived based on the Kirchhoff-plate theory and the von Karman strain-displacement relations by using the Hamilton's principle. By applying the Galerkin's approach, the resulting equations are reduced to a two-degree-of-freedom nonlinear system with external excitations. Considering the case of 1:1 internal resonance, the method of Asymptotic Perturbation method is utilized to obtain the averaged equations of the cantilevered thin-plate workpiece. Numerical method is used to study nonlinear dynamics of the cantilevered thin plate and get the two-dimensional phase portraits, waveforms phase, three-dimensional phase and frequency spectrum phase. The result shows that the cantilevered thin-plate workpiece exhibits the complex dynamic behavior with the increase of the amplitude of the forcing excitation. Copyright © 2012 by ASME.

Keyword:

Chaos theory Equations of motion Perturbation techniques Nonlinear equations Dynamics Degrees of freedom (mechanics) Milling (machining) Vibrations (mechanical) Computer simulation Numerical methods

Author Community:

  • [ 1 ] [Zhang, Wei]Department of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, China
  • [ 2 ] [Zhou, Rui]Department of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, China
  • [ 3 ] [Zu, Jean W.]Department of Mechanical and Industrial Engineering, University of Toronto, 5King's College Road, Toronto, ON, M5S 3G8, Canada
  • [ 4 ] [Wang, Qian]Department of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, China

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Year: 2012

Issue: PARTS A, B, AND C

Volume: 3

Page: 1891-1903

Language: English

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 8

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