Analytic Approach to the Shock Response Spectrum of Friction Joints

Abstract

Because of dry friction in the contact surface of bolted, riveted, and clamped band joints, they are potentially suitable for mitigating vibration in structures. This capability is activated if excitation vector has a component on the contact surface, and this depends on the joint geometry. A fundamental study on the shock response spectrum (SRS) of a single-degree-of-freedom model of joint containing Jenkins element as a bilinear hysteresis for dry friction modeling is considered here. The equation of motion is analytically solved for extracting the SRS to rectangular base acceleration pulse. The effect of various physical parameters, influenced by joint geometry and fastener pretension, on the acceleration transmissibility is investigated. The highest level of SRS is studied when physical parameters vary and optimum values of these parameters are determined for minimizing the SRS. The consequence of this fundamental study can be useful for designing joints as a dissipation mechanism in structures. In the solution process before extracting the SRS, some phenomenological studies are carried out on stick/slip phenomenon in the joint.