FE Based Vibration and Stability Analysis of Functionally Graded Rotating Shaft System Under Thermal Environment

Authors

  • Gavvala Somanjineyulu  M.Tech Student, CAD/CAM, Department of Mechanical Engineering, PVKK Institute of Technology, Ananthapuramu, Andhra Pradesh, India
  • l. Balasubramanyam  HOD & Associate Professor, Department of Mechanical Engineering, PVKK Institute of Technology, Ananthapuramu, Andhra Pradesh, India

DOI:

https://doi.org//10.32628/IJSRSET196439

Keywords:

Power law gradient index; Functionally graded shaft; Temperature dependent material properties; Viscous and hysteretic damping; Rotor-Bearing-shaft system; Finite element method; Campbell diagram; Damping ratio; stability speed limit (SLS)

Abstract

The present work deals with the study of vibration and stability analyses of functionally graded (FG) spinning shaft system under thermal environment using three nodded beam element based on Timoshenko beam theory (TBT). Temperature field is assumed to be a uniform distribution over the shaft surface and varied in radial direction only. Material properties are assumed to be temperature dependent and graded in radial direction according to power law gradation and exponential law gradation respectively. In the present analysis, the mixture of Aluminum Oxide (Al2O3) and Stainless Steel (SUS304) is considered as FG material where metal contain (SUS304) is decreasing towards the outer diameter of shaft. In this work the effects of both internal viscous and hysteretic damping have also been incorporated in the finite element model. The analysis of numerical results reveals that temperature field and power law gradient index have a significance role on the materials properties (such as Young modulus, Poisson ratio, modulus of rigidity, coefficient of thermal expansion etc.) of FG shaft. Various results have also been obtained such as Campbell diagram, stability speed limit (SLS), damping ratio and time responses for FG shaft due unbalance masses and also compared with conventional steel shaft.

References

  1. Kapuria, S., Ahmed, A., Dumir, P.C., 2004, “Static and dynamic thermo electromechanical analysis of angle ply hybrid piezoelectric beams using an efficient coupled zigzag theory,” Composites Science and Technology, 64, pp. 2463-2475.
  2. Gubran, H.B.H., Gupta, K., 2005, “The effect of stacking sequence and coupling mechanisms on the natural frequencies of composite shafts,” Journal of Sound and Vibration, 282, pp. 231-248.
  3. Wang, B.L., Mai, Y.W., 2005, “Transient one dimensional heat conduction problems solved by finite element,” International Journal of Mechanical Sciences, 47, pp. 303-317.
  4. Syed, K.A., Su, C.W., Chan, W.S., 2007, “Analysis of Fiber Reinforced Composite Beams under Temperature Environment,” Proceedings of the Seventh International Congress on Thermal Stresses, Taipei, Taiwan.
  5. Sino, R., Baranger, T.N., Chatelet, E., Jacquet, G., 2008, “Dynamic analysis of a rotating composite shaft,” Journal of Composites Science and Technology, 68, pp. 337-345.
  6. Feldman, E., Aboudi, J. 1997, “Buckling analysis of functionally graded plates subjected to uniaxial loading,” Composite Structures, 38, pp. 29-36.
  7. Aboudi, J., Pindera, M.J., Arnold, S.M., 1999, “Higher-order theory for functionally graded materials,” Composites, Part B: Engineering, 30 (8), pp.777-832.
  8. Praveen, G.N.; Reddy, J. N., 1998, “Nonlinear transient thermo elastic analysis of functionally graded ceramic metal plates,” International Journal of Solids and Structures, 35(33), pp. 4457-4476.
  9. Gasik, M.M., 1998, “Micromechanical modelling of functionally graded materials,” Computational Materials Science, 13 (1), pp. 42-55.
  10. Kunuthur M.R., Reddy B.C. (2019) Investigation of Moisture Absorption in Jute Fiber Polymer Matrix Composites. In: Vasudevan H., Kottur V., Raina A. (eds) Proceedings of International Conference on Intelligent Manufacturing and Automation. Lecture Notes in Mechanical Engineering. Springer, Singapore DOIhttps://doi.org/10.1007/978-981-13-2490-1_34
  11. Suresh, S., Mortensen, A., 1998, “Fundamentals of functionally graded materials”, London, UK: IOM Communications Limited.
  12. Aboudi, J., Pindera, M.J., Arnold, S.M., 1999, “Higher-order theory for functionally graded materials,” Composites, Part B: Engineering, 30 (8), pp.777-832.
  13. Mekala P., Kunuthur M.R., Chandramohana Reddy B. (2019) Evaluation of the Mechanical Properties of Recycled Jute Fiber-Reinforced Polymer Matrix Composites. In: Vasudevan H., Kottur V., Raina A. (eds) Proceedings of International Conference on Intelligent Manufacturing and Automation. Lecture Notes in Mechanical Engineering. Springer, Singapore DOI https://doi.org/10.1007/978-981-13-2490-1_26
  14. Wang, B.L., Han, J.C., Du, S.Y., 2000, “Crack problems for Functionally GradedMaterials under transient thermal loading,” Journal of Thermal Stresses, 23 (2), pp. 143-168.

International Journal of Scientific Research in Science, Engineering and Technology

Downloads

Published

2019-08-30

Issue

Volume 6, Issue 4, July-August-2019

Section

Research Articles

License

Copyright (c) IJSRSET

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
Gavvala Somanjineyulu, l. Balasubramanyam, " FE Based Vibration and Stability Analysis of Functionally Graded Rotating Shaft System Under Thermal Environment, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 6, Issue 4, pp.301-306, July-August-2019. Available at doi : https://doi.org/10.32628/IJSRSET196439