Main Article Content

Abstract

In this paper thermo-elastic stability characteristics of laminated noncircular cylindrical shells subjected to uniform temperature rise are studied using higher order kinematics which accounts for the transverse shear and transverse normal deformations, and incorporates realistic through the thickness approximations of the in-plane displacements. The governing equations obtained through the minimization of total potential energy are solved using finite element approach. The strain-displacement relations are accurately introduced in the formulation. The combined influence of higher-order shear deformation, shell geometry and non-circularity on the critical temperature parameter of oval shells as an example of non-circular shell is examined.

Keywords

Laminated Shell, Cross-ply, Thermal Buckling, Critical Temperature, Non-circular, Higher-order, Finite Element, Oval Cross-section

Article Details

How to Cite
Patel, B., Murthy, G., & Gupta, S. (2023). Thermo-Elastic Stability Characteristics of Laminated Non-circular Cylindrical Shells Using Higher Order Theory. Journal of Aerospace Sciences and Technologies, 56(1), 7–20. https://doi.org/10.61653/joast.v56i1.2004.831

References

  1. L Thomton, 8., "Thermal Buckling of Plates and Shells", Applied Mechanics Review, Vol.46, pp.485-506. 1993.
  2. Radhamohan, S.K. and Venkatramana, J., "Thermal Buckling of Orthotropic Cylindrical Shells", J. American Institute of Aeronautics and Astronautics. Vol. I 3, pp.397 -399, 197 5.
  3. Thangartnam, R.K., Palaninathan, R. and Ramachandran, J., "Thermal Buckling of Laminated Composite Shells", J. American Institute of Aeronautics and Astronautics, Vol.28, pp.859-860, 1990.
  4. Thangartnam, R.K., Palaninathan, R. and Ramachandran, J., "Buckling of Composite Cylindrical Shells", Journal of Aeronautical Society of India, Vol.41, pp.47-54,1989.
  5. Birman, V. and Bert, C.W., "Buckling and Post-Buckling of Composite Plates and Shells Subjected to Elevated Temperature", ASME Journal of Applied Mechanics, Vol.60, pp.514-519, 1993.
  6. Shen, H.S., "Thermomechanical Post-buckling Analysis of Stiffened Laminated Cylindrical Shell", ASCE Journal of Engineering Mechanics, Vol 123, pp.433-443, 1997.
  7. Shen, H.S., "Thermal Post-buckling Analysis of Imperfect Stiffened Laminated Cylindrical Shells", Int.
  8. J. Nonlinear Mechanics, Vol 32, pp.259 -275, 1997 .
  9. Shen, H.S., "Post-buckling Analysis of Imperfect Stiffened Laminated Cylindrical Shells Under Combined External Pressure and Thermal Loading", Int. J. Mechanical Sciences, Vol.40, pp.339-355, 1998.
  10. Ganesan, N. and Kadoli, R., "Buckling and Dynamic Analysis of Piezo thermoelastic Composite Cylindrical Shells", Composite and Structures, Vol.59, pp.45-60,2003.
  11. Shen, H.S., "Thermal Postbuckling Analysis of Laminated Cylindrical Shells with Piezoelectric Actuators", Composite Structures, Vol.55, pp.l3-22, 2002.
  12. Kadoli, R. and Ganesan, N., "Free Vibration and Buckling Analysis of Composite Cylindrical Shells Conveying Hot Fluid", Composite Structures, Vol.60, pp.l9 -32, 2003.
  13. Soldatos, K.P., "Mechanics of Cylindrical Shells with Non-Circular Cross-Section : A Survey", Applied Mechanics Review, Y o1.52, pp.237 -27 4, 1999.
  14. Soldatos, K.P. and Tzivanidis, G.J., "Buckling and Vibration of Cross-Ply Laminated Non-circular Cylindrical Shell", Journal of Sound Vibration, Vol.82, pp.425-434, 1982.
  15. Sun, G., "Buckling and Initial Post-Buckling Behavior of Laminated Oval Cylindrical Shells Under Axial Compression", ASME Journal of Applied Mechanics, Vol.58, pp.848-851, 199 l.
  16. Sheinman, L and Firer, M., "Buckling Analysis of Laminated Cylindrical Shells with Arbitrary Noncircular Cross-Section". J. American Institute of teronautics and Astronautics, Vol.32, pp.648-654, 1994.
  17. Firer, M. and Sheinman, I., "Nonlinear Analysis of Laminated Non-Circular Cylindrical Shells", Int. J. Solids Structures, Vol.32, pp. I 405- 14 I 6, 1995.
  18. Soldatos, K.P., "NonJinear Analysis of Transverse Shear Deformable Laminated Composite Cylindrical Shells Part-I : Derivation of Governing Equations', ASME Journal of Pressure Vessels Tech.. Vol. 114. pp.105-109, 1992.
  19. Soldatos, K.P., "Non-linear Analysis of Transverse Shear Deformable Laminated Composite Cylindrical Shells Part-II : Buckling of Axially Compressed Cross-ply Circular and Oval Cylinders", ASME Journal of Pressure Vessels Tech., Vol. 114, pp.110-114, 1992.
  20. Varadan, T.K. and Bhaskar, K., "Bending of Laminated Orthohopic Cylindrical Shells an Elasticity Approach", Composite Structures, Y ol.l7, pp. 14 , 1991.
  21. Noor, A.K. and Rarig, P.L., "Three Dimensional Solutions of Laminated Cylinders", Comput. Meth. Appl. Engineering, Vol.3, pp.319 -334, 1974.
  22. Bhaskar, K., Varadan, T.K. and Ali, J.S.M., "Thermoelastic Solutions for Orthotropic and Anisotropic Composite Larninates", Composites : Part B, Y ol.27B, pp.415 420, 1996.
  23. Ganapathi, M., Patel, 8.P., Pawargi, D.S. and Patel, H.G., "Comparative Dynamic Studies of Thick Laminated Composite Shells Based on Higher Order Theories", Structural Engineering and Mechanics,Vol. 13, pp.69 5-7 | l, 2002.
  24. Ganapathi, M., Patel, B.P. and Pawargi, D.S., "Dynamic Analysis of Laminated Cross-ply Composite Non-circular Thick Cylindrical Shells using HigherOrder Theory", Int. J. Solids Structures, Vol.39, pp.5945-5962,2002.
  25. Bhaskar, K. and Varadan, T.K., "A Higher-order Theory for bending Analysis of Laminated Shells of Revolution", Computer and Structure, Vol.40, pp.8l5-819, 1991.
  26. Murakami, H., "Laminated Composite Plate Theory with Improved in-Plane Responses", ASME Journal of Applied Mechanics, Vol. 53, pp.66 l -666, 1986.
  27. Kraus, H., 'Thin Elastic Shells", John Wiley and Sons Inc., New York, 1976.
  28. Qatu, M.S., "Accurate Equations for Laminated
  29. Composite Deep Thick Shells",Int. J. Solids Structures,
  30. Vol.36, pp.29 l7 -2941, 1999.
  31. Herakovich, C.T., "Mechanics of Fibrous Composites", John Wiley and Sons Inc., New York, 1998.
  32. Zienkiewicz, O.C., "Finite Element Methods in Engineering Science", McGraw-Hill, London, I 97 l.
  33. Pratap, G.A., "Co Continuous 4-Noded Cylindrical Shell Element", Computer and Structure, Yol.2l, pp.995-999, 1985.
  34. Prathap, G., Naganarayana, B.P. and Somashekar, B.R., "Field-Consistency Analysis of the Iso-parametric 8-Noded Plate Bending Element", Computer and Structure, Y o1.29, pp.857-873, I 988.
  35. Culberson, L.D. and Boyd, D.E., "Free Vibrations of Freely Supported Oval Cylinders", J. American Institute of Aeronautics and Astronautics. Vol.9. pp.1474-1480, 1971 .