Investigation on the Damping of Riveted Short Cantilever Beams With Layers of Similar and Dissimilar Metallic Materials: Optimization of Parameters

Abstract

Abstract Investigating the damping behavior is essential for any dynamically vibrating structures to avoid resonance. For this, one of the ways is to make the vibrating metallic beams into layers throughout their thickness and rivet them. So far in the previous investigation, the layers considered are of the same materials for both the long and short beams. In this investigation, the layers considered are of both similar (mild steel-mild steel (MS + MS) and aluminum-aluminum (AL + AL)) and dissimilar metallic materials (mild steel-aluminum (MS + AL)) and are shorter in length. The Frequency response function (FRF), Euler-Bernoulli theory (EBT), and Timoshenko beam theory (TBT) were adopted to investigate the damping ratios and their order is found to be \(\varvec{\xi }\)FRF>\(\varvec{\xi }\)EBT>\(\varvec{\xi }\)TBT. A combination of mild steel-mild steel showed higher damping ratios when compared with the other two riveted materials combinations and the order for damping ratio is \(\varvec{\xi }\)MS−MS>\(\varvec{\xi }\)MS−AL>)\(\varvec{\xi }\)AL−AL. In addition, the parameters that affect the damping ratio of riveted short cantilever beams with mild steel-aluminum metallic materials combination were optimized by considering the full factorial design using response surface methodology (RSM), and corresponding plots were presented to observe the variation of the damping ratio. The minimum and maximum damping ratios were also obtained within the range of numerical values of the parameters considered in this study. At last, a quadratic regression equation was developed for cantilever beams with mild steel-aluminum (MS+AL) materials combination and was validated by experimental values that were not utilized in its development.