@inproceedings{ea929923798f45dc9e8c5995f6a51ce3,
title = "Nonlinear vibration of a thin-plate workpiece during high speed milling under 1:1 internal resonance condition",
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.",
keywords = "Cantilever thin plate, Chaos, Nonlinear dynamics, Numerical simulation",
author = "Wei Zhang and Rui Zhou and Zu, {Jean W.} and Qian Wang",
year = "2012",
doi = "10.1115/IMECE2012-86159",
language = "English",
isbn = "9780791845196",
series = "ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)",
number = "PARTS A, B, AND C",
pages = "1891--1903",
booktitle = "ASME 2012 International Mechanical Engineering Congress and Exposition, IMECE 2012",
edition = "PARTS A, B, AND C",
note = "ASME 2012 International Mechanical Engineering Congress and Exposition, IMECE 2012 ; Conference date: 09-11-2012 Through 15-11-2012",
}