@inproceedings{56ab41b2ab344d3e8f7c5f1530af9e20,
title = "Nonlinear oscillation of shell workpiece in high speed milling under 1:2 internal resonance condition",
abstract = "We aim to study nonlinear dynamics of a shell-shaped workpiece during milling processes in this paper. The shell-shaped workpiece is modelled as a cantilever thin shell subjected to a cutting force with time-delay effects. The formulas of the cantilever shell were derived by the classical shell theory and the von Karman strain-displacement relations. The resulting differential equations are reduced to a two-degree-of-freedom nonlinear system ordinary differential equations by applying the Galerkin{\^a}TMs approach. The method of Asymptotic Perturbation method is used to obtain the averaged equations, which were dealt with the resonance cases of 1:2 internal resonance and principal parametric resonance. Dynamic behaviors are presented based on the numerical solutions. The results show that different time-delay parameters result in periodic motion, multiple periodic motion, and chaotic motion.",
keywords = "Cantilever shell, Chaos, Nonlinear dynamics, Numerical simulation, Time-delay",
author = "Wei Zhang and Rui Zhou and Zu, {Jean W.} and Qian Wang",
year = "2012",
doi = "10.1115/DETC2012-70207",
language = "English",
isbn = "9780791845004",
series = "Proceedings of the ASME Design Engineering Technical Conference",
number = "PARTS A AND B",
pages = "943--954",
booktitle = "ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012",
edition = "PARTS A AND B",
note = "ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012 ; Conference date: 12-08-2012 Through 12-08-2012",
}