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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.2015014164
pages 463-474

EXACT SOLUTION FOR FREE VIBRATION ANALYSIS OF FUNCTIONALLY GRADED MICROPLATES BASED ON THE STRAIN GRADIENT THEORY

H. Farahmand
Department of Mechanical Engineering, Islamic Azad University of Kerman Branch, Kerman, Iran
M. Mohammadi
Young Researchers and Elites Club, Kerman Branch, Islamic Azad University, Kerman, Iran
A. Iranmanesh
Department of Civil Engineering, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran
S. S. Naseralavi
Department of Civil Engineering, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran

Краткое описание

This paper deals with free vibration analysis of thin functionally graded rectangular microplates. Along with classical plate theory, strain gradient theory is implemented to capture microstructure effects. Using the variational approach and the principle of minimum total potential energy, the governing equations for rectangular microplates are developed. In accordance with the functionally graded distribution of material properties through the thickness, higherorder governing equations are coupled in terms of displacement fields. Applying a new and novel methodology, these equations are decoupled, with the special benefit of being solved analytically. Using the variational approach all simply supported, clamped and free boundary conditions are determined. Consequently, on the basis of the Navier solution, free vibrational analysis of simply supported rectangular microplates is carried out. Finally the effects of material properties, microstructure parameters and dimensions on the nondimensional natural frequencies of microplates are explored. Also, it is shown that length scale parameters affect both governing equations and boundary conditions.


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