Article Sidebar

Submitted
July 29, 2023
Published
July 29, 2023
Download
Requires Subscription pdf
Statistic
Read Counter : 61 Download : 4

Downloads

Download data is not yet available.

Metrics

Metrics Loading ...

Main Article Content

Abstract

In this research article stability study of an exponentially tapered rotating sandwich beam having different elastic parameters in temperature environment has been done. The sequential steps followed up to reach the goal are extended Hamilton’s principle, non-dimensionlization of equations, selection of shape functions for the mathematical modeling of the system from the past research work depending upon the boundary conditions, use of general Galerkins method, help of modal matrix and finally the use of Saito-Otomi conditions. Here the effects of variable thermal gradient, on the Young’s modulus of the elastic layers have been considered in place of constant thermal gradient as earlier. Consideration of effect of variable thermal gradient, while analyzing the stability of the system is the most significant contribution of this research article to the society as non-uniform elastic layers are considered here. The influence of different parameters on the regions of instability are studied and presented graphically. Comparison of the results with uniform and variable thermal gradient is carried out.

Keywords

Rotation Parameter, Rotating Sandwich Beam, Non-uniformity Parameter, Temperature Gradient

Article Details

How to Cite
Pradhan, M., & Dash, P. (2023). Dynamic Stability Study on an Exponentially Tapered Rotating Asymmetric Sandwich Beam Under the Action of a Pulsating Axial Load with Variable Temperature Gradient. Journal of Aerospace Sciences and Technologies, 71(2), 199–207. https://doi.org/10.61653/joast.v71i2.2019.137
Download Citation
Endnote/Zotero/Mendeley (RIS)
BibTeX

References

  1. Lo, H. and Renbarger, J., "Bending Vibrations of a Rotating Beam", Proceedings of the First US National Congress, Appl. Mech., ASME, p.75, 1952.
  2. Carnegie, W., "Vibration of Rotating Cantilever Blading: Theoretical Approaches to the Frequency Problem Based on Energy Methods", JMES, 1, p.235, 1959. 3. Kerwin Jr. and Edward, M., "Damping of Flexural Waves by a Constrained Viscoelastic Layer", The Journal of the Acoustical Society of America, 31.7, pp.952-962, 1959.
  3. Saito, H. and Otomi, K., "Parametric Response of Viscoelastically Supported Beams", Journal of Sound and Vibration, 63.2, pp.169-178, 1979.
  4. Bauer, H. F., "Vibration of a Rotating Uniform Beam, Part I: Orientation in the Axis of Rotation", Journal of Sound and Vibration, 72, pp.177-189, 1980.
  5. Irie, T., Yamada, G. and Takahashi, I., "Vibration and Stability of a Non-uniform Timoshenko Beam Subjected to a Follower Force", Journal of Sound and Vibration,70(4), pp.503-512, g.v, 1980.
  6. Bhat, R. B., "Transverse Vibrations of a Rotating Uniform Cantilever Beam with Tip Mass as Predicted by Using Beam Characteristic Orthogonal Polynomials in the Rayleigh-Ritz Method", Journal of Sound and Vibration, 105, pp.199-210, 1986.
  7. Leipholz, H., Stability Theory 2nd Edition, John Wiley and Sons, Chichestar, 1987.
  8. Kar, R. C. and Sujata, T., "Parametric Instability of a Non-uniform Beam with Thermal Gradient Resting on a Pasternak Foundation", Computers and Structures, 29.4 . pp.591-599, 1988.
  9. Kar, R. C. and Sujata, T., "Dynamic Stability of a Rotating Beam with Various Boundary Conditions", Computers and Structures, 40.3, pp.753-773, 1991.
  10. Ray, K. and Kar, R. C., "Parametric Instability of a Sandwich Beam Under Various Boundary Conditions", Computers and Structures, 55.5, pp. 857-870, 1995.
  11. Dash, P. R. et al., "Parametric Instability of an Asymmetric, Rotating Sandwich Beam", Journal of Aerospace Sciences and Technologies, 60.4, p.292, 2008.
  12. Parida Rashmita and Pusparaj Dash., "Dynamic Stability Analysis of a Circularly Tapered Rotating Beam Subjected to Axial Pulsating Load and Thermal Gradient Under Various Boundary Conditions", International Journal of Acoustics and Vibration, 21.2, pp.137-144, 2016.
  13. Pradhan, M., Dash, P.R. and Pradhan, P. K., "Static and Dynamic Stability Analysis of an Asymmetric Sandwich Beam Resting on a Variable Pasternak Foundation Subjected to Thermal Gradient", Meccanica, 51.3, pp.725-739, 2016.
  14. Pradhan, M. and Dash, P. R., "Stability of an Asymmetric Tapered Sandwich Beam Resting on a Variable Pasternak Foundation Subjected to a Pulsating Axial Load with Thermal Gradient", Composite Structures, 140, pp.816-834, 2016.
  15. Pradhan, M., Mishra, M. K. and Dash, P. R., "Stability Analysis of an Asymmetric Tapered Sandwich Beam with Thermal Gradient", Procedia Engineering, 144, pp.908-916, 2016.