Periodic Motions and Bifurcations of a Plastic Impact Machine

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A mathematical model is developed to describe the characteristic behavior of a small vibro-impact pile driver. Dynamics of the small vibro-impact pile driver is represented by a three-dimensional map. The map is of piecewise property due to synchronous and non-synchronous motion of the driver and pile immediately after the plastic impact, and singularities caused by grazing contact of the driver and pile. The pile driver exhibits two different types of single-impact periodic motions in different regions of the forcing frequency due to the plastic impacts. Transition of two types of single-impact periodic motions is demonstrated, and the influence of the piecewise property, singularities and various parameters on the performance of the pile driver is analyzed.

Info:

Periodical:

Key Engineering Materials (Volumes 340-341)

Edited by:

N. Ohno and T. Uehara

Pages:

307-312

Citation:

G. W. Luo et al., "Periodic Motions and Bifurcations of a Plastic Impact Machine", Key Engineering Materials, Vols. 340-341, pp. 307-312, 2007

Online since:

June 2007

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$38.00

[1] A.B. Nordmark: J. Sound Vib. Vol 145(1991), p.279.

[2] A.P. Ivanov: J. Sound Vib. Vol 162(1993), p.562.

[3] K.M. Cone, R.I. Zadoks: J. Sound Vib. Vol 188(1995), p.659.

[4] C. Budd, F. Dux and A. Cliffe: J. Sound Vib. Vol 184(1995), p.475.

[5] Y.V. Mikhlin: J. Sound Vib. Vol 216(1998), pp.227-250.

[6] F. Peterka, T. Kotera, S. Čipera: Chaos, Solitons & Fractals. Vol 19(2004), p.1251.

DOI: https://doi.org/10.1016/s0960-0779(03)00327-8

[7] D.J. Wagg: Chaos, Solitons & Fractals. Vol 22(2004), pp.541-548.

[8] E.E. Pavlovskaia, M. Wiercigroch and C. Grebogi: Physical Review E. Vol 64(2005), p.6224.

[9] S.W. Shaw, P.J. Holmes: J. Applied Mech. Vol 50(1983), p.849.

[10] J.H. Xie: Acta Mech. Sin. Vol 29(1997), p.456.

[11] Z.Z. Yang: Journal of Hydraulic Engineering. Vol 8(1999), p.72.

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