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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

LATEST News


21/02/2020 Collaboration for SET 2020: Editorial Board of our journal and Organizing Committee of the 19th International Conference on Sustainable Energy Technologies (SET 2020) have agreed to collaborate. Extended versions of the selected papers from the conference will be published in our journal. For more see Events.


25/12/2019 Most Cited Paper Award: The paper authored by Manoj Sahni and Sanjeev Sharma entitled as “Elastic-plastic deformation of a thin rotating solid disk of exponentially varying density" is awarded the 2019 Most Cited Paper Award of Research on Engineering Structures and Materials (RESM).

25/12/2019 Best Paper Award: The paper authored by Marcelo Mesquita do Amaral, Matheus Wanglon Ferreira and Mauro de Vasconcellos Real entitled as “A simplified method for analysis of reinforced concrete beams exposed to fire situation” is awarded the 2019 Best Paper Award of Research on Engineering Structures and Materials (RESM).


13/11/2019 Data articles as a new type of submision: Editorial Board of our journal have decided to accept a new type of submission: data articles. The focus of these papers is only on data and how it is collected but not on its interpretation and drawn conclusions. For more see News section.


(More details of the news may be given in the News section)


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LATEST AWARDS


2019 Most Cited Paper Award:

The paper authored by Manoj Sahni and Sanjeev Sharma entitled as “Elastic-plastic deformation of a thin rotating solid disk of exponentially varying density" is awarded the


2019 Best Paper Award:

The paper authored by Marcelo Mesquita do Amaral, Matheus Wanglon Ferreira and Mauro de Vasconcellos Real entitled as “A simplified method for analysis of reinforced concrete beams exposed to fire situation” is awarded the 


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Last Update:

24.07.2020

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