TY - JOUR
T1 - Analysis on nonlinear dynamics of a thin-plate workpiece in milling process with cutting force nonlinearities
AU - Zhou, Rui
AU - Zhang, Wei
AU - Zu, Jean W.
PY - 2014/7
Y1 - 2014/7
N2 - This paper aims to investigate the nonlinear dynamics of a thin-plate workpiece during milling process with cutting force nonlinearities. By modeling the thin-plate workpiece as a cantilevered thin plate and applying the Hamilton's principle, the equations of motion of the thin-plate workpiece are derived based on the Kirchhoff-plate theory and the von Karman strain-displacement relations. Using the Galerkin's approach, the equations of motion are reduced to a two-degree-freedom nonlinear system. The method of Asymptotic Perturbation is utilized to obtain the averaged equations in the case of 1:1 internal resonance and foundational resonance. Numerical methods are used to find the periodic and chaotic oscillations of the cantilevered thin-plate workpiece. The results show that the cantilevered thin-plate workpiece demonstrate complex dynamic behaviors under time-delay effects, the external and parametric excitations.
AB - This paper aims to investigate the nonlinear dynamics of a thin-plate workpiece during milling process with cutting force nonlinearities. By modeling the thin-plate workpiece as a cantilevered thin plate and applying the Hamilton's principle, the equations of motion of the thin-plate workpiece are derived based on the Kirchhoff-plate theory and the von Karman strain-displacement relations. Using the Galerkin's approach, the equations of motion are reduced to a two-degree-freedom nonlinear system. The method of Asymptotic Perturbation is utilized to obtain the averaged equations in the case of 1:1 internal resonance and foundational resonance. Numerical methods are used to find the periodic and chaotic oscillations of the cantilevered thin-plate workpiece. The results show that the cantilevered thin-plate workpiece demonstrate complex dynamic behaviors under time-delay effects, the external and parametric excitations.
KW - Cantilevered thin plate
KW - High speed milling
KW - Nonlinear dynamics
KW - Numerical simulations
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U2 - 10.1007/s12206-014-0608-2
DO - 10.1007/s12206-014-0608-2
M3 - Article
AN - SCOPUS:84904899313
SN - 1738-494X
VL - 28
SP - 2511
EP - 2526
JO - Journal of Mechanical Science and Technology
JF - Journal of Mechanical Science and Technology
IS - 7
ER -