Plate vibration suppression by optimizing friction threshold at its bolted supports

Hysteretic behavior due to some nonlinear sources is a common phenomenon in many mechanical systems. One of the sources of this behavior in such systems is dry friction in bolted or riveted joints. The dynamic response of a randomly excited thin rectangular plate with bolted supports at the boundaries is considered. Friction in bolted supports is modeled by Jenkins’ bilinear hysteresis element. Equivalent-Linearization technique, a Closed-Form technique and Moment-Closure technique are employed to obtain response statistics. Equivalent damping due to hysteretic supports is obtained versus instantaneous amplitude of the system and also the sliding threshold. Then optimum friction threshold for minimizing response amplitude is obtained versus other system parameters. Further, the Mont-Carlo simulation developed to verify the results. Results show that sliding at the bolted supports has significant effect on mean square value of transverse vibration amplitude and there is an optimum sliding threshold in which overall variance of system response is minimum.