Basins of attraction of the bistable region of time-delayed cutting dynamics

This research is supported by National Natural Science Foundation of China under Grant No. 11502048 and 11572224, and Fundamental Research Funds for the Central Universities under Grant No.ZYGX2015KYQD033.Peer reviewedPublisher PD

Marching bifurcations

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Resonances of the SD oscillator due to the discontinuous phase

Resonance phenomena of a harmonically excited system with mul-tiple potential well play an important role in nonlinear dynamics research.In this paper, we investigate the resonant behaviours of a discontinuous dynamical system with double well potential derived from the SD oscillator to gain better understanding of the transition of resonance mechanism. Firstly,the time dependent Hamiltonian is obtained for a Duffing type discontinuous system modelling snap-through buckling. This system comprises two subsystems connected at x = 0, for which the system is discontinuous. We constructa series of generating functions and canonical transformations to obtain the canonical form of the system to investigate the complex resonant behavioursof the system. Furthermore, we introduce a composed winding number to explore complex resonant phenomena. The formulation for resonant phenomena given in this paper generalizes the formulation of n Omega0 = m Omega used in the regular perturbation theory, where n and m are relative prime integers, Omega 0 and Omega are the natural frequency and external frequencies respectively. Understanding the resonant behaviour of the SD oscillator at the discontinuousphase enables us to further reveal the vibrational energy transfer mechanism between smooth and discontinuous nonlinear dynamical system

Influence of Workpiece Imbalance on Regenerative and Frictional Grinding Chatters

This research is supported by National Natural Science Foundation of China under Grant No.11502048 and 11572224, and Fundamental Research Funds for the Central Universities under Grant No.ZYGX2015KYQD033.Peer reviewedPublisher PD

Regenerative chatter in self-interrupted plunge grinding

This research is supported by National Natural Science Foundation of China under Grant Nos.11572224 and 11502048, and Fundamental Research Funds for the Central Universities under Grant No. ZYGX2015KYQD033. We would like to thank Dr. Pankaj Wahi for an initial discussion during YY’s stay in Aberdeen.Peer reviewedPublisher PD

Experimental studies of the resultant contact forces in drillbit-rock interaction

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Bifurcation and dynamic response analysis of rotating blade excited by upstream vortices

Acknowledgements The authors acknowledge the projects supported by the National Basic Research Program of China (973 Project)(No. 2015CB057405) and the National Natural Science Foundation of China (No. 11372082) and the State Scholarship Fund of CSC. DW thanks for the hospitality of the University of Aberdeen.Peer reviewedPostprin

Dynamics of rotary drilling with non-uniformly distributed blades

This research is supported by National Natural Science Foundation of China (Grants No. 11872147, 11502048, 11772229, and 11572224), Sichuan Science and Technology Program (Grant No. 2018HH0101) and the Fundamental Research Funds for the Central Universities (Grant No. ZYGX2018J078).Peer reviewedPostprin