Dynamic Analysis of Functionally Graded Porous Microbeams under Moving Load

Abstract

This paper presents dynamic analysis of a simply supported porous microbeam made of functionally graded materials subjected to a moving load. Material properties of the porous microbeam change in the thickness direction according to power-law distribution with different porosity models. The governing equations are obtained by Lagrange procedure based on Bernoulli–Euler beam and modified couple stress theories. Then, the resulting equations are solved by Ritz and Newmark average acceleration methods. A detailed parametric study is performed to investigate the effects of porosity coefficient, porosity distribution, material distribution, and length scale parameter on the dynamic responses of functionally graded porous microbeams.