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

作者：Zhou, Rui; Zhang, Wei^*; Zu, Jean W.

来源：Journal of Mechanical Science and Technology, 2014, 28(7): 2511-2526.

DOI：10.1007/s12206-014-0608-2

• Cantilevered thin plate
• High speed milling
• Nonlinear dynamics
• Numerical simulations

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.

• 出版日期2014-7
• 单位北京工业大学