343 research outputs found
Chaotic vibrations in a regenerative cutting process
We have analyzed vibrations generated in an orthogonal cutting process. Using
a simple one degree of freedom model of the regenerative cutting we have
observed the complex behaviour of the system. In presence of a shaped cutting
surface, the nonlinear interaction between the tool and a worpiece leads to
chatter vibrations of periodic, quasi-periodic or chaotic type depending on
system parameters. To describe the profile of the surface machined by the first
pass we used a harmonic function. We analysed the impact phenomenon between the
tool and a workpiece after their contact loss.Comment: 7 pages, 3 figure
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
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
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
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
Experimental studies of the resultant contact forces in drillbit-rock interaction
Peer reviewedPostprin
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
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