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Research Article

Functionally graded Timoshenko beams with elastically-restrained edge supports: thermal buckling analysis via stokes’ transformation technique  

Moein Hosseini1, Fatemeh Farhatnia1*, Soheil Oveissi2

1Mechanical Engineering Faculty, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Isfahan, Iran
2Department of Mechanical Engineering, Islamic Azad University, Najafabad, Isfahan, Iran

Keywords

Abstract

Thermal buckling,

Timoshenko beam theory,

Functionally graded

material,

Stokes’ transformation


The present study investigates buckling in functionally graded material (FGM) beams when exposed to a temperature rise. The proposed FGM beams have arbitrary edge supports that are modeled by rotational and translational springs. The mechanical properties are assumed to vary continuously across the thickness direction according to a simple four-parameter power law. To obtain the critical value of temperature, the governing equilibrium equations are extracted based on Timoshenko beam theory, using the assumption of Von-Karman nonlinearity for the physical neutral surface concept. The equations are further solved by Fourier series expansion via Stokes’ transformation technique. Numerical examples are provided to demonstrate the accuracy and reliability of the proposed method. The influence of two models of metal-ceramic distribution across the thickness (symmetrical and unsymmetrical ones) on the response of the beam in thermal buckling of FG beam is investigated. It is observed that, the critical buckling temperature rises more for symmetrical model of FGM beam with respected to unsymmetrical one. Also, increasing the translational and rotational spring coefficient makes the beam stiffer; consequently, the critical buckling temperature is increased. © 2017 MIM Research Group. All rights reserved.

DOI: http://dx.doi.org/10.17515/resm2016.83me1018                          Full Text

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07/10/2019 Collaboration for IMSMATEC 2019: Editorial Board of our journal and Organizing Committee of The International Conference on Materials Science, Mechanical and Automotive Engineerings and Technology (IMSMATEC 2019) have agreed to collaborate. Extended versions of the selected papers from the conference will be published in our journal. For more see Events.


25/12/2018 Collaboration for iSTE-CE'2019: Editorial Board of our journal and Organizing Committee of International Conference on Innovation, Sustainability, Technology and Education in Civil Engineering (iSTE-CE'2019) have agreed to collaborate. Extended versions of the selected papers from the conference will be published in our journal. For more see Events.


23/12/2018 2018 Most Cited Paper Award: The paper authored by Jouni Freud and Alp Karakoç entitled as “Shear and torsion correction factors of Timoshenko beam model for generic cross sections" is awarded the 2018 Most Cited Paper Award of Research on Engineering Structures and Materials (RESM). We congratulate the authors and wish them a continued success.


23/12/2018 2018 Best Paper Award: The paper authored by Nelson C. Batista, Rui Melicio and Victor M. F. Mendes entitled as “Darrieus vertical axis wind turbines: methodology to study the self start capabilities considering symmetric and asymmetric air foils” is awarded the 2018 Best Paper Award of Research on Engineering Structures and Materials (RESM). We congratulate the authors and wish them a continued success.


24/11/2018 Frequency Increase: Due to the high number of submissions, our journal is going to publish 4 issues per year starting with 2018. Issues are going to be published in February, June, September and December. The 2018 December issue will be published soon. We thank all of our contributors for their support.


28/11/2018 Current Citation Count: Even if our journal is not currently indexed by Science Citation Index by Thomson-Reuters, first 3 Volumes of our journal, with 40 articles, are cited 44 times (up to given date) by journals indexed in in Web of Science databases.


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