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Post-Buckling Analysis of Microplates based on the Strain Gradient Elasticity Theory
, M.Sc. Thesis Sharif University of Technology ; Asghari, Mohsen (Supervisor)
Abstract
In recent years, the world has seen a great progress in micro electro-mechanical systems (MEMS). Small size, low weight, high accuracy and low energy consumption have made these devices applicable in a variety of usages. In MEMS devices, mechanical components are used for specific purposes among which one of the most widely used are micro plates. Microplates are used in the structure of many devices such as microswitchs and atomic force microscopes. Therefore, studying of static and dynamic behavior of microplates is important. As the object gets smaller (to the scale of micro and nano meters), the classic theory of mechanics of continuous media cannot predict the behavior due to its...
Post-buckling optimization of two-dimensional functionally graded porous beams
, Article International Journal of Mechanics and Materials in Design ; Volume 15, Issue 4 , 2019 , Pages 801-815 ; 15691713 (ISSN) ; Arghavani, J ; Maboudi, G ; Sharif University of Technology
Springer Netherlands
2019
Abstract
In the present study, an attempt is made to present the governing equations on the post-buckling of two-dimensional (2D) FGP beams and propose appropriate optimization procedure to achieve optimal post-buckling behavior and mass. To this end, Timoshenko beam theory, Von-Karman nonlinear relations, virtual work principle, and generalized differential quadrature method are considered to derive and solve governing equations and associated boundary condition (Hinged–Hinged) for an unknown 2D porosity distribution. Proposed method is validated using the papers in the literature. The optimization procedure including defining porosity distributions (interpolations), post-buckling function and...
On new nonlinearity in third-order elastic modulus for vibrational analysis of FG porous beam based on nonlocal strain gradient and surface energy by modified homotopy perturbation method
, Article European Physical Journal Plus ; Volume 137, Issue 4 , 2022 ; 21905444 (ISSN) ; Alizadeh Hamidi, B ; Maboudi, G ; Sharif University of Technology
Springer Science and Business Media Deutschland GmbH
2022
Abstract
In the current study, by considering both material and geometry nonlinearity, the nonlinear free vibration of functionally graded porous nanobeams based on the nonlocal strain gradient theory is investigated. Generally, the third-order elastic modulus, von Karman strain–displacement relationship, is assumed to incorporate the nonlinearity into the differential equation of the problem. In this paper, for the first time, the nonlinear vibrational response of the nanobeam does not merely depend on the geometric nonlinearity. Also, material nonlinearity of the bulk and surface layers is taken into consideration. Governing equations and the related boundary conditions are obtained by utilizing...