Article Sidebar

Submitted
August 14, 2023
Published
August 14, 2023
Download
PDF
Statistic
Read Counter : 47 Download : 47

Downloads

Download data is not yet available.

Metrics

Metrics Loading ...

Main Article Content

Abstract

The present investigation deals with the study of vibration and dynamic instability behaviour of square isotropic/laminated composite plates with circular hole subjected to partially distributed follower edge forces using finite element method. The first order shear deformation theory is used to model the plate, considering the effects of shear deformation and rotary inertia. The modal transformation technique is applied to the resulting equilibrium equation for subsequent analysis. Structural damping is introduced into the system in terms of equivalent viscous damping to study the significance of damping on stability characteristics. The effects of cutout size, load width, boundary condition, ply orientation, direction control of the load and damping parameters are considered for the stability behaviour of the plates. The results show that under follower loading, the system is susceptible to instability due to flutter alone or due to both flutter and divergence, depending on system parameters.

Keywords

cutout, dynamic stability, follower loading, structural damping, finite element method

Article Details

How to Cite
Ravi Kumar, L., Datta, P., & Prabhakara, D. (2023). Dynamic Stability Analysis of Square Isotropic/Laminated Composite Plates With Circular Cutout Subjected to Non-Uniform Follower Edge Load With Damping. Journal of Aerospace Sciences and Technologies, 56(4), 226–239. https://doi.org/10.61653/joast.v56i4.2004.830
Download Citation
Endnote/Zotero/Mendeley (RIS)
BibTeX

References

  1. Bolotin, V. V., "Nonconservative Problems of the Theory of Elastic Stability", Oxford, Pergamon Press, 1963.
  2. Bolotin, V. V. and Zhinzher, N.I., "Effects of Damping on Stability of Elastic Systems Subjected to Non- conservative Forces", International Journal of Solids and Structures, 5, pp.965-989, 1969.
  3. Ziegler, H., "Principles of Structural Stability", Blaisdell Publication Company, Toronto, 1 968.
  4. Herrmann, G. and Bungay, R.W., "On the Stability of Elastic Systems Subjected to Nonconservative Forces", Journal of Applied Mechanics, 31, pp.435- 440, 1964.
  5. Herrmann, G and Jong, I-C., "On the Destabilizing Effect of Damping in Nonconservative Elastic Systems". Journal of Applied Mechanics 32, pp. 592-591 , 1965.
  6. Sankaran, G.V. and VenkateswaraRao, G., "Stability of Tapered Cantilever Columns Subjected to Follower Forces", Computers and Structures 6, pp.2l7- 220,7976.
  7. Leipholz, H.H.E., "On a Variational Principle for Clamped-Free Rod Subjected to Tangential Follower Forces", Mechanics of Research Communications, 5, pp.335-339, 1978.
  8. Sugiyama, Y. and Kawagoe, H., "Vibration and Stability of Elastic Columns under the Combined Action' of Uniformly Distributed Vertical and Tangential Forces", Journal of Sound and Vibration, 38, pp.314- 355, 1975.
  9. Ryu, B.J. and Sugiyama, Y., "Dynamic Stability of Cantilevered Timoshenko Columns Subjected to Rocket Thrust", Computers and Structures, 51, pp.33r-335,1994.
  10. Ryu, B.J., Sugiyama,Y., Yim, K.B. and Lee, G.S. "Dynamic Stability of an Elastically Restrained Column Subjected to Triangularly Distributed Sub- tangential Forces", Computers and Structures 76, pp.61 1-619, 2000.
  11. Sugiyama, Y., Katayama, K., Kariyama, K. and Ryu, B.J., "Experimental Verification of Dynamic Stability of Vertical Cantilevered Columns Subjected to Sub-Tangential Force", Journal of Sound and Vibration, 236, pp. l93 -207, 2000.
  12. Argyris, J.H. and Symeonidis, K.S., "Static and Dynamic Stability of Nonlinear Elastic Systems under Nonconservative Forces-Natural Approach", Computer Methods in Applied Mechanics and Engineering, 32, pp.59-83, 1982.
  13. Gasparini, A.M., Saetta, A.V. and Vitaliani, R.V., "On the Stability and Instability Regions of Nonconservative Continuous System under Partially Follower Forces", Computer Methods in Applied Mechanics and Engineering, 124, pp.63- 18, 1995.
  14. Farshad, M., "Stability of CantileverPlates Subjected to Biaxial Subtangential Loading", Journal ofSound and Vibration 58, pp.555-56I, I91 8.
  15. Adali, S., "Stability of RectangularPlates underNon- conservative and Conservative Forces ", International Journal of Solids and Structures, 18, pp.1043-IC52, 1982.
  16. Culkowski, P.M. and Reismann, H., "Plate Buckling due to Follower Edge Force", Transactions of ASME, Journal of Applied Mechanics, 44, pp.768- 769, 1911.
  17. Leipholz, H.H.E., "Stability of a Rectangular Simply Supported Plate Subjected to Nonincreasing Tangential Follower Forces", Transactions of AS ME, Journal of Applied Mechanics, 45, pp.223-224, 1978.
  18. Leipholz, H.H.E. and Pfendt, F., "Application of Extended Equations of Galerkin to Stability problems of Rectangular Plates with Free Edges Subjected to Uniformly Distributed Follower Forces", Computer Methods in Applied Mechanics and Engineering, 37, pp.347-365, 1983.
  19. Higuchi, K. and Dowell, 8.H., "Effect of Structural Damping on Flutter of Plates with Follower Force", AIAA Journal, 30, pp.820-825, 1992.
  20. Ashwini Kumar and Srivastava, A.K., "Stability of Thin Rectangular Elastic Plates under Follower Force", Mechanics Research Communications, 13, pp.165-168, 1986.
  21. Kishore, Y.K., "Stability of an Orthotropic Plate under Follower Force", Mechanics Research Communications" , 15, pp.249-252, 1988.
  22. Kim, J.H. and Kim, H.S., "A Study on the Dynamic Stability of Plate under Follower Force", Computers and Structures 74, pp.35 1-363, 2000.
  23. Kim, J.H. and Park, J.H., "On the Dynamic Stability of Rectangular Plates Subjected to Intermediate Follower Forces", Journal of Sound and Vibration, Letters to the Editor 209, pp.882-888, 1998.
  24. Datta, P .K. and Deolasi, P .J., "Dynamic Instability Characteristics of Plates Subjected to Partially Distributed Follower Edge Loading with Damping". Proc. Inst. Mech Engrs (U.K) 2I0, pp.445-452, 1996.
  25. Herrmann, G., "Stability of Equilibrium of Elastic Systems Subjected to Nonconservative Forces", Applied Mechanics Review, 20, pp.103-108,1961.
  26. Komarakul-Na- Nakoran, A. and Arora, J. S., " Stabil- ity Criteria: A Review", Computers and Structures 37, pp.35-49,1990.
  27. Bismarck-Nasr, M.N., "Finite Element Analysis of Aeroelasticity of Plates and Shells", ASME, Applied Mechanics Review, 45, pp.46l-482, 1992.
  28. Langthjem, M.A. and Sugiyama, Y., "Dynamic Stability of Columns Subjected to Follower Loads: A Survey", Journal of Sound and Vibration, 238, pp.809-85 1, 2000.
  29. Bazant, Z.P., "Structural Stability", International Journal of Solids and Structures 3l,55-67,2000.
  30. Ravi Kumar, L., Datta, P .K. and Prabhakara, D.L., "Dynamic Instability Characteristics of Laminated Composite Plates Subjected to Partial Follower Edge Load with Damping", International Journal of Mechanical Sciences, 45, pp. l429 -1448, 2003.
  31. Jones, R., "Mechanics of Composite Material", McGraw-Hill, New York, 1998.
  32. Cook, R.D., "Concepts and Applications of Finite Element Analysis", John Wiley, 1989.
  33. Moorthy, J., Reddy, J.N. andPlaut, R.H., "Parametric Instability of Laminated Composite Plates with Transverse Shear Deformation", International Jour- nal of Solids and Structures, 26, pp.801-811, 1990.
  34. Qatu, M.S. and Leissa, A. W., "Natural Frequencies for Cantilevered Doubly Curved Laminated Composite Shallow Shells", Composite Structures 17, pp.227-255, 1991.
  35. Lee, Y.J., Lin, H.J., and Lin, C.C., "A Study of Buckling Behaviour of an Orthotropic Square plate with Central Circular Hole", Composite Structures, 13, pp.I73- 188, 1989.