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Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции
International Journal for Multiscale Computational Engineering
Импакт фактор: 1.016 5-летний Импакт фактор: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Печать: 1543-1649
ISSN Онлайн: 1940-4352

Выпуски:
Том 17, 2019 Том 16, 2018 Том 15, 2017 Том 14, 2016 Том 13, 2015 Том 12, 2014 Том 11, 2013 Том 10, 2012 Том 9, 2011 Том 8, 2010 Том 7, 2009 Том 6, 2008 Том 5, 2007 Том 4, 2006 Том 3, 2005 Том 2, 2004 Том 1, 2003

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.2018026293
pages 163-186

FREE VIBRATION PROPERTY ANALYSIS OF COMPOSITE LAMINATED MICROPLATES BASED ON DIFFERENT HYPOTHESES IN COUPLE STRESS CONSTITUTIVE EQUATIONS

Shengqi Yang
State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian, 116024, China
Shutian Liu
State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian, 116024, China

Краткое описание

The free vibration property of composite laminated microplates is analyzed analytically and numerically based on two kinds of couple stress plate models. The laminated microplates are composed of orthotropic plies with different ply angles which are modeled as orthotropic couple stress media. The two kinds of plates models are called as the Simplifiedmodel which is based on simplification hypotheses on the rotation and curvatures (ωz = 0, χxz =0, χyz = 0) in couple stress constitutive equations, and the Complete model without any hypotheses. Hamilton principle is employed to derive the governing equations of free vibration based on the hypotheses on the rotation and/or the curvatures in the couple stress theory and the assumption on the displacements in the plate theory. A kind of finite element is constructed for couple stress microplates, and its convergence and precision are verified through typical examples. Solutions for typical examples with different boundary conditions are obtained in closed form using Navier’s technique and by solving the eigenvalue equation, and/or by the finite element method. The application scope of the Simplified model is investigated through comparing the results with the Complete model’s. It is noted that, although the simplified model can give accurate free vibration modes for Kirchhoff and Mindlin plates, but for Reddy plates, large errors may occur. Thus, it is needed to use the complete model for free vibration analysis of high order theory of microplates.