Thermal Buckling and Free Vibration Analysis of Heated Functionally Graded Material Beams

  • Khalane Sanjay Anandrao Advanced Systems Laboratory, Hyderabad
  • R. K. Gupta Advanced Systems Laboratory, Hyderabad
  • P. Ramachandran Defence Research & Development Laboratory, Hyderabad
  • G. V. Rao Vardhaman College of Engineering, Hyderabad
DOI: https://doi.org/10.14429/dsj.63.2370
Keywords: Functionally graded material, finite element method, buckling, free vibration, timoshenko beam

Abstract

The effect of temperature dependency of material properties on thermal buckling and free vibration of functionally graded material (FGM) beams is studied. The FGM beam is assumed to be at a uniform through thickness temperature, above the ambient temperature. Finite element system of equations based on the first order shear deformation theory is developed. FGM beam with axially immovable ends having the classical boundary conditions is analysed. An exhaustive set of numerical results, in terms of buckling temperatures and frequencies, is presented, considering the temperature independent and temperature dependent material properties. The buckling temperature and fundamental frequency obtained using the temperature independent material properties is higher than that obtained by using the temperature dependent material properties, for all the material distributions, geometrical parameters in terms of length to thickness ratios and the boundary conditions considered. It is also observed that the frequencies of the FGM beam will reduce with the increase in temperature. This observation is applicable for the higher modes of vibration also. The necessity of considering the temperature dependency of material properties in determining thermal buckling and vibration characteristics of FGM beams is clearly demonstrated.

Defence Science Journal, 2013, 63(3), pp.315-322, DOI:http://dx.doi.org/10.14429/dsj.63.2370

Author Biographies

Khalane Sanjay Anandrao, Advanced Systems Laboratory, Hyderabad
Mr K Sanjay Anandrao received his B.E. (Mechanical Engineering) from university of Pune in 1991 and M.E. (Aerospace Engineering) from Indian Institute of Science, Bangalore in 1995. he is currently working as Scientist ‘F’ at ASl, hyderabad. his areas of interest include design of composite structures, FGM, stability of structures and vibration.
R. K. Gupta, Advanced Systems Laboratory, Hyderabad
Dr Rajesh Kumar Gupta obtained his M.E. (Aerospace Engineering) from I.I.Sc., Bangalore in 1984. he received his doctorate in Mechanical Engineering from J.N.T.u. hyderabad in 2011. Presently he is working as Technology Director at ASl, hyderabad. his areas of interest are: Aerospace structures, vibration, composites, aerospace system configuration design.
P. Ramachandran, Defence Research & Development Laboratory, Hyderabad
Dr P Ramachandran obtained his Masters degree in Aerospace Engineering from Indian Institute of Technology, Madras in 1991 and Ph. D. in Mechanical Engineering from Indian Institute of Technology, Madras in 2007. he is currently working as Scientist ‘F’ in DRDl, hyderabad. his areas of interest include vibration and acoustic response of structures, aerospace design, structural analysis and instrumentation.
G. V. Rao, Vardhaman College of Engineering, Hyderabad
Dr G Venkateswara Rao received his Ph.D. from I.I.Sc., Bangalore in 1973. he was NRC-NASA Resident Research Associate at Thermal Structures Branch, NASA langley, hampton, uSA (1976-1977). he is honored as Distinguished Professor of Indian National Academy of Engineering (2007-2011). he is Fellow of the Indian National Academy of Engineering, Fellow of the Indian Academy of Sciences, Fellow of the Institution of Engineers (India) and Fellow of the Aeronautical Society of India. he is recipient of the Shanti Swarup Bhatnagar (SSB) Prize in the area of Engineering Sciences (1989) and has authored around  600 Technical Papers. he is working as Research Professor in the Department of Mechanical Engineering, Vardhaman College of Engineering (VCE), Shamshabad, hyderabad.
Published
2013-05-16
How to Cite
Anandrao, K., Gupta, R., Ramachandran, P., & Rao, G. (2013). Thermal Buckling and Free Vibration Analysis of Heated Functionally Graded Material Beams. Defence Science Journal, 63(3), 315-322. https://doi.org/10.14429/dsj.63.2370
Issue
Vol 63 No 3
Section
Engineering Science & Technology
Copyright (c) 2016 Defence Science Journal

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