Journal of Shanghai Jiao Tong University ›› 2022, Vol. 56 ›› Issue (2): 191-200.doi: 10.16183/j.cnki.jsjtu.2020.413

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Stability of Orthogonal Cutting System Considering Nonlinear Stiffness

SHI Huirong(), WANG Haixing, LI Zonggang   

  1. School of Mechatronic Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China
  • Received:2020-12-07 Online:2022-02-28 Published:2022-03-03


In order to accurately predict the stability of orthogonal cutting of cylindrical workpiece, a nonlinear orthogonal cutting system model is established, which includes the nonlinear stiffness caused by the surface wave of work as well as the deformation of the tool and work. The multi-scale method is used to solve the system. The effect of machining parameters and system parameters on the stability of the primary resonance and 1/2 subresonance is analyzed to gain the overall stability cloud map compared with the lobe diagrams of linear approximation system. The results show that the instability of primary resonance, 1/2, 1/3, and 1/4 subresonance occur in the orthogonal cutting system with the quadratic nonlinearity and cubic nonlinearities stiffness, which makes the system have period-doubling, quasi-periodic, and chaotic operation behavior. The comparison indicates that the dynamics model of nonlinear orthogonal cutting can accurately predict the stability of the system.

Key words: chatter, nonlinearity, orthogonal cutting, multi-scale method

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