Identification of slip and micro-vibro-impact forces at a frictional support using force-state mapping technique

Beams, as the most widely used structures in the engineering applications, are usually subjected to different boundary conditions. There are several contact mechanisms developing at the interface of the beams’ boundaries that change the nature from linear to nonlinear when the amplitude of the structural vibration increases. Two of the most important nonlinear mechanisms at the contact boundaries are micro/macro slip and micro-vibro-impact mechanisms affecting the dynamic response of the structures. This paper deals with the identification of the parameters of the micro slip and micro-impact models at the frictional support of a nonlinear beam that is modeled using Euler-Bernoulli beam theory by force-state mapping method. The identified tangential and normal forces are employed to determine the parameters of the Valanis and Hunt-Crossley models, respectively.It is further shown that the tangential stiffness of contact interface decreases as the excitation level increases.

Keywords:

slip , micro-vibro-impact , force-state mapping , frictional support