Analysis of perturbes frictional contact problems

Generally, friction/perturbation compensation is an important issue in high-precision motion control applications. In particular, when the system under control undergoes low-speed or reversal motions, the friction force and external perturbations will degrade motion accuracy. In this paper, we study analysis of perturbed frictional contact problems. Its shows how homotopy perturbation techniques and projection can be integrated in control-based approach to reanalyze the perturbed frictional contact problems. Thus, the perturbed non linear problem is decomposed into perturbed linear problems dedicated to each component in contact. Each solution of perturbed linear problems is approximated. A numerical application is performed to verify the efficiency and the robustness of the proposed method. The proposed method has been developed to be compatible within a context of multiple sampling (such as parametric analysis or design of experiments). The proposal relies on a control based method currently used in automation domain. A Fuzzy Logic Controller (FLC) is designed to link the normal gaps identified between the bodies and the normal contact pressures applied at the interface. Finally, a design of experiments is proposed to quantify the effects of input perturbations on output mechanical data