Analysis on nonlinear dynamics of a thin-plate workpiece in milling process with cutting force nonlinearities

다국어 초록 (Multilingual Abstract)

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 thethin-plate workpiece are derived based on the Kirchhoff-plate theory and the von Karman strain-displacement relations. Using the Galerkin’sapproach, the equations of motion are reduced to a two-degree-freedom nonlinear system. The method of Asymptotic Perturbationis utilized to obtain the averaged equations in the case of 1:1 internal resonance and foundational resonance. Numerical methods areused to find the periodic and chaotic oscillations of the cantilevered thin-plate workpiece. The results show that the cantilevered thin-plateworkpiece demonstrate complex dynamic behaviors under time-delay effects, the external and parametric excitations.

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