Dynamic Analysis of Non-Uniform Functionally Graded Beams on Inhomogeneous Foundations Subjected to Moving Distributed Loads

Inhomogeneous materials, variable foundations, non-uniform cross-sections, and non-uniformly distributed loads are common in engineering structures typically complicate their mechanical analysis considerably. This paper presents an accurate efficient numerical method for the dynamic of functionally graded beams resting on inhomogeneous viscoelastic foundations subjected to moving load investigates effects non-uniformities inhomogeneities material, foundation, load. Based Timoshenko beam theory a Chebyshev spectral method, consistent discrete model is derived, which can deal with all axially varying properties. A series experiments carried out validate convergence accuracy proposed method. The results compared those obtained through finite element or literature, excellent agreement observed. Then, response foundation investigated. show that material gradient alter vibration amplitudes critical speeds significantly. Compared more realistic models, idealized concentrated uniformly models produce apparent computation errors amplitudes.