Free vibration analysis of a porous functionally graded, truncated conical shell with a magneto-rheological fluid core

Abstract

Vibration absorbers are vital to resisting shocks in many structures. This study analyzed the effects of magnetic field, porosity and geometry on the natural frequency and loss factor of a conical shell made of smart porous materials. Natural frequency declined when the length, radius and thickness ratios increased. The loss factor and porosity coefficients increased concurrently. The magnetic intensity had little effect on the natural frequency. Increasing the apex angle or porosity, raised the loss factor but reduced the natural frequency. Raising the core’s top layer thickness reduced the natural frequency but increasing the L/R1 or R1/h ratio reduced the frequency.