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Buckling analysis of nonlocal anisotropic thin-walled cylindrical shells subject to combined loading
, Article Journal of Engineering Mechanics ; Volume 142, Issue 12 , 2016 ; 07339399 (ISSN) ; Fazelzadeh, S. A ; Sohrabpour, S ; Sharif University of Technology
American Society of Civil Engineers (ASCE)
2016
Abstract
The equilibrium governing equations of nonlocal anisotropic thin-walled circular cylindrical shell under combined axial compressive force, torsional load, and external pressure are explicitly derived. This is accomplished by appropriately combining the equilibrium equations and the strain-displacement relations according to Flügge's shell theory and the stress-stain equations of Eringen's nonlocal elasticity theory. An analytical solution for the buckling of the shells is presented by using the complex method. This model is validated by a good agreement between the results given by the present model and available data in the literature. Furthermore, the model is utilized to elucidate the...
Dynamic analysis of a simply supported beam resting on a nonlinear elastic foundation under compressive axial load using nonlinear normal modes techniques under three-to-one internal resonance condition
, Article Nonlinear Dynamics ; Volume 70, Issue 2 , October , 2012 , Pages 1147-1172 ; 0924090X (ISSN) ; Kargarnovin, M. H ; Farsi, S ; Sharif University of Technology
Springer
2012
Abstract
In this paper, the Nonlinear Normal Modes (NNMs) analysis for the case of three-to-one (3:1) internal resonance of a slender simply supported beam in presence of compressive axial load resting on a nonlinear elastic foundation is studied. Using the Euler- Bernoulli beam model, the governing nonlinear PDE of the beam's transverse vibration and also its associated boundary conditions are extracted. These nonlinear motion equation and boundary condition relations are solved simultaneously using four different approximate-analytical solution techniques, namely the method of Multiple Time Scales, the method of Normal Forms, the method of Shaw and Pierre, and the method of King and Vakakis. The...