On Viscoelastic Compliant Contact-Impact Models

[+] Author and Article Information
T. M. Atanackovic

D. T. Spasic

Department of Mechanics, University of Novi Sad, POB 55, 21121 Novi Sad, Yugoslavia

J. Appl. Mech 71(1), 134-138 (Mar 17, 2004) (5 pages) doi:10.1115/1.1629106 History: Received November 30, 2001; Revised July 07, 2003; Online March 17, 2004
Copyright © 2004 by ASME
Your Session has timed out. Please sign back in to continue.


Brogliato, B., 1999, Nonsmooth Dynamics, Springer, London.
Hunt,  K. H., and Crossley,  F. R. E., 1975, “Coefficient of Restitution Interpreted as Damping in Vibroimpact,” ASME J. Appl. Mech., 42, pp. 440–445.
Butcher,  E. A., and Segalman,  D. J., 2000, “Characterizing Damping and Restitution in Compliant Impact via Modified K-V and Higher Order Linear Viscoelastic Models,” ASME J. Appl. Mech., 67, pp. 831–834.
Oldham, K. B., and Spanier, J., 1974, The Fractional Calculus, Academic Press, San Diego, CA.
Samko, S. G., Kilbas, A. A., and Marichev, O. I., 1993, Fractional Integrals and Derivatives, Gordon and Breach, Amsterdam.
Bagley,  R. L., and Torvik,  P. J., 1986, “On the Fractional Calculus Model of Viscoelastic Behaviour,” J. Rheol., 30, pp. 133–155.
Pritz,  T., 1996, “Analysis of Four-Parameter Fractional Derivative Model of Real Solid Materials,” J. Sound Vib., 195, pp. 103–115.
Fenander,  Å., 1998, “A Fractional Derivative Railpad Model Included in a Railway Track Model,” J. Sound Vib., 212, pp. 889–903.
Baclic,  B. S., and Atanackovic,  T. M., 2000, “Stability and Creep of a Fractional Derivative Order Viscoelastic Rod,” Bull. T. CXXI Serb. Acad. Sci. Arts,(25), pp. 115–131.
Suarez,  L. E., and Shokooh,  A., 1997, “An Eigenvector Expansion Method for the Solution of Motion Containing Fractional Derivatives,” ASME J. Appl. Mech., 64, pp. 629–635.
Enelund,  M., and Lesieutre,  G. A., 1999, “Time Domain Modeling of Damping Using Anelastic Displacement Fields and Fractional Calculus,” Int. J. Solids Struct., 36, pp. 4447–4472.
Haupt,  P., Lion,  A., and Backhaus,  E., 2000, “On the Dynamic Behaviour of Polymers Under Finite Strains: Constitutive Modeling and Identification of Parameters,” Int. J. Solids Struct., 37, pp. 3633–3646.
Bagley,  R. L., 1989, “Power Law and Fractional Calculus Model of Viscoelasticity,” AIAA J., 27, pp. 1412–1417.
Atanackovic, T. M., 2001, “A Modified Zener Model of a Viscoelastic Body,” Continuum Mech. Thermodyn., in press.
Palade,  L. I., Verney,  V., and Attane,  P., 1996, “A Modified Fractional Model to Describe the Entire Viscoelastic Behaviour of Polybutadienes From Flow to Glassy Regime,” Rheol. Acta, 35, pp. 265–273.
Mikusiński, J., 1959, Operational Calculus, Pergamon Press, New York.
Post,  E. L., 1930, “Generalized Differentiation,” Trans. Am. Math. Soc., 32, pp. 723–781.
Podlubny, I., 1999, Fractional Differential Equations, Academic Press, San Diego, CA.
Kilchevski, N. A., 1976, Dynamic Contact of Solid Bodies, Naukova Dumka, Kiev.


Grahic Jump Location
Systems under considerations
Grahic Jump Location
Curves x(t) for standard linear solid α=1, τf=0.04,τx=0.2, (dotted), fractional standard solid with α=0.49, τ=5×10−8=0.886, (solid line) and for α=0.23, τ=0.004,τ=1.183, (dashed)
Grahic Jump Location
Hysteresis diagrams for standard linear solid α=1, τf=0.04,τx=0.2, (dotted), fractional standard solid with α=0.49, τ=5×10−8=0.886, (solid line) and for α=0.23, τ=0.004,τ=1.183, (dashed)




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In