کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
277672 | 1430246 | 2014 | 17 صفحه PDF | دانلود رایگان |
• A 3D boundary-element formulation for a spherical multi-layered coating is presented.
• Viscoelastic, inertial and Coriolis effects due to steady-state rotation are included.
• A rolling contact solving scheme is proposed and surface friction is discussed.
• The model is applied to rolling resistance and verified by comparison to FE simulations.
• An example illustrates the dependence of rolling resistance on several parameters.
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.
Journal: International Journal of Solids and Structures - Volume 51, Issues 3–4, February 2014, Pages 822–838