Geometrically nonlinear dynamic analysis of functionally graded thick hollow cylinders using total Lagrangian MLPG method

摘要: In this article, geometrically nonlinear transient analysis based on the meshless local Petrov–Galerkin method (MLPG) is presented for functionally graded material thick hollow cylinders with infinite length subjected to a mechanical shock loading. The cylinder assumed be axisymmetric and in plane strain conditions. properties of are vary across thickness. MLPG analysis, total Lagrangian formulation, radial base function, Heaviside test function used approximation displacement field weak form equation motion. system equations solved by Newmark finite difference Newton–Raphson iteration methods. time history stress various values power law exponents, radii thicknesses investigated. effects different loading types also duration dynamic behaviors fields obtained discussed details. Moreover, results from compared those linear analysis.