Bending Analysis of Rectangular FG Micro Plates using Modified Couple Stress Theory and first Order Shear Deformation Theory

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Yekani, Mohammad Amin | 2016

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 48388 (08)
University: Sharif University of Technology
Department: Mechanical Engineering
Advisor(s): Fallah Rajabzadeh, Famida; Farrahi, Gholamhossein
Abstract:
Based on the modified couple stress and Mindlin plate theories, a Levy type solution is presented for bending and vibration analysis of rectangular isotropic micro plates with simple supports at opposite edges and different boundary conditions at the other two ones. Modified couple stress theory is taken into account to capture the size effect and the governing equations are derived using Hamilton's principle, and solved by Levy solution and space-state method. The results are verified with the existing ones in the literature. As a benchmark, additional tables for vertical deflections and free vibrations of plate with various boundary conditions are presented
Keywords:
Microplate ; Functionally Graded Materials (FGM) ; First-Order Shear Deformation Theory ; Modified Couple Stress Theory ; Levy Process ; Extended Kantorovich Method