Forced Vibration Analysis of Orthotropic FGM Cylinders by a Mesh-free Method

In this paper forced vibration analysis of orthotropic functionally graded material (FGM) cylinders was carried out under harmonic loads by a mesh-freemethod. In the mesh-free method, MLS shape functions are used for approximation of displacement field in the weak form of motion equation. Resulted set ofdifferential equations are solved using Newmark (central difference) approximation. In this simulation, an axisymmetric model is used. The volume fractions ofmaterials vary uniformly along the radial direction so mechanical properties of cylinders such as Young’smodulus and Poisson’s ratio were assumed to bevariable in the radial direction. The orthotropic one is made of two orthotropic materials as Glass-epoxy andGraphite-epoxy. Responses of FGM cylinders to the harmonic loads were determined by the proposed model and effects of volume fraction exponent, loading cycles,loading rate and cylinder thickness on the responses were investigated. Results obtained for this analysis were compared with results of finite element analyses and previous published work and good agreement was seen between them.

کلیدواژه ها:

forced vibration ، Axisymmetric ، FGM ، Mesh-free ، Orthotropic