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Moving Contact with Friction at an Elastic Strip

Brommundt E.

Machine Dynamics Problems

2001

Vol. 25, No. 3/4

21-34

Careful investigations of sliding contact between flexible bodies require detailed formulations of the instantaneous local geometrical and equilibrium conditions at the touching surfaces. For a linearly elastic strip we discretize the dependent variables (displacements, strains, stresses) uniformly with respect to the transversal direction by cubic base-splines but retain the differential equations with respect to the longitudinal coordinate x. Thus, we arrive at a system of PDE's - second order in time, first order in x - which allows to display the essential boundary terms at the surfaces explicitly (that is convenient for the formulation of the contact conditions) and is well suited for numerical integration.