The computational modeling for the static analysis of axially functionally graded micro-cylindrical imperfect beam applying the computer simulation

• Published in: Engineering with computers Vol. 38; no. Suppl 4; pp. 3217 - 3235
• Main Authors: Hou, Fengxia, Wu, Shengbin, Moradi, Zohre, Shafiei, Navvab
• Format: Journal Article
• Language: English
• Published: London Springer London 01.10.2022; Springer Nature B.V
• Subjects: Beam theory (structures); Bending; Boundary conditions; Buckling; CAE) and Design; Calculus of Variations and Optimal Control; Optimization; Classical Mechanics; Computer Science; Computer simulation; Computer-Aided Engineering (CAD; Control; Cross-sections; Deflection; Equations of motion; Exact solutions; Functionally gradient materials; Generalized differential quadrature method; Math. Applications in Chemistry; Mathematical and Computational Engineering; Microbeams; Nonlinear equations; Original Article; Perturbation methods; Porosity; Quadratures; Scale effect; Systems Theory; Bending analysis; Non-uniform cross-section; Imperfect functionally graded material; Truncated conical tube; Buckling analysis; Nonlinear analysis

In this paper, the bending and buckling analysis of microbeam with the uniform and non-uniform cylindrical cross-section was examined based on the classical beam theory and the modified couple stress theory to model the micro-structures effects. The nonlinear effect of the Von-Kármán theory is regar...