A new viscoelastic foundation model for vibration analysis of porous metal foam plates using analytical solution

A new viscoelastic foundation model is presented in this paper to analyze vibrations on porous metal foam plates (MTFPs). By incorporating a new damping coefficient (DC) into the traditional Winkler-Pasternak foundation model, the proposed model is improved in its capacity to accurately simulate foundation behavior in practical engineering. Metal foam materials are becoming more and more popular in structural applications where vibration properties are crucial because of their high strength-to-weight ratio, lightweight, and superior energy absorption capacity. However, the porous nature of the MTFPs adds complexity to their vibration behavior, which requires advanced modelling techniques for an accurate prediction. Hamilton’s concept is utilized to obtain equations of motion for porous MTFPs. These equations are then analytically solved to provide light on how the vibration characteristics are affected by the viscoelastic foundation parameters. The model’s validity is demonstrated by comparison with existing results to validate the precision of the recommended analytical solution. The findings highlight the significant influence of the viscoelastic foundation parameters, particularly the new DC, on the vibration response of porous MTFPs. These findings provide important direction for the design and development of these cutting-edge materials for a variety of engineering applications.