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Rolling resistance of a rigid sphere with viscoelastic coatings

Publication ,  Journal Article
Zéhil, GP; Gavin, HP
Published in: International Journal of Solids and Structures
February 1, 2014

We present a novel three-dimensional boundary-element formulation that fully characterizes the mechanical behavior of the external boundary of a multi-layered viscoelastic coating attached to a hard rotating spherical core. The proposed formulation incorporates both, the viscoelastic, and the inertial effects of the steady-state rolling motion of the sphere, including the Coriolis effect. The proposed formulation is based on Fourier-domain expressions of all mechanical governing equations. It relates two-dimensional Fourier series expansions of surface displacements and stresses, which results in the formation of a compliance matrix for the outer boundary of the deformable coating, discretized into nodes. The computational cost of building such a compliance matrix is optimized, based on configurational similarities and symmetry. The proposed formulation is applied, in combination with a rolling contact solving strategy, to evaluate the viscoelastic rolling friction of a coated sphere on a rigid plane. Steady-state results generated by the proposed model are verified by comparison to those obtained from running dynamic simulations on a three-dimensional finite element model, beyond the transient. A detailed application example includes a verification of convergence and illustrates the dependence of rolling resistance on the applied load, the thickness of the coating, and the rolling velocity. © 2013 Elsevier Ltd. All rights reserved.

Duke Scholars

Published In

International Journal of Solids and Structures

DOI

ISSN

0020-7683

Publication Date

February 1, 2014

Volume

51

Issue

3-4

Start / End Page

822 / 838

Related Subject Headings

  • Mechanical Engineering & Transports
  • 40 Engineering
  • 09 Engineering
 

Citation

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Zéhil, G. P., & Gavin, H. P. (2014). Rolling resistance of a rigid sphere with viscoelastic coatings. International Journal of Solids and Structures, 51(3–4), 822–838. https://doi.org/10.1016/j.ijsolstr.2013.11.009
Zéhil, G. P., and H. P. Gavin. “Rolling resistance of a rigid sphere with viscoelastic coatings.” International Journal of Solids and Structures 51, no. 3–4 (February 1, 2014): 822–38. https://doi.org/10.1016/j.ijsolstr.2013.11.009.
Zéhil GP, Gavin HP. Rolling resistance of a rigid sphere with viscoelastic coatings. International Journal of Solids and Structures. 2014 Feb 1;51(3–4):822–38.
Zéhil, G. P., and H. P. Gavin. “Rolling resistance of a rigid sphere with viscoelastic coatings.” International Journal of Solids and Structures, vol. 51, no. 3–4, Feb. 2014, pp. 822–38. Scopus, doi:10.1016/j.ijsolstr.2013.11.009.
Zéhil GP, Gavin HP. Rolling resistance of a rigid sphere with viscoelastic coatings. International Journal of Solids and Structures. 2014 Feb 1;51(3–4):822–838.
Journal cover image

Published In

International Journal of Solids and Structures

DOI

ISSN

0020-7683

Publication Date

February 1, 2014

Volume

51

Issue

3-4

Start / End Page

822 / 838

Related Subject Headings

  • Mechanical Engineering & Transports
  • 40 Engineering
  • 09 Engineering