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August 14, 2023
Published
August 14, 2023
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Abstract

This paper deals with nonlinear asymmetric dynamic buckling of clamped isotropic/anisotropic spherical shells under suddenly applied pressure loads. The formulation is based on first-order shear deformation theory and Lagrange's equation of motion. The nonlinearity due to finite deformation of the shell considering von Karman's assumptions is included in the formulation. The buckling loads are obtained through dynamic response history using Newmark's numerical integration scheme coupled with a Newton-Raphson iteration technique. An axisymmetric curved shell element is used to investigate the dynamic characteristics of the spherical caps. The pressure value beyond which the maximum average displacement response shows significant growth rate in the time history of the shell structure is considered as critical dynamic load. Detailed numerical results are presented to highlight the influences of shell geometric parameter, orthotropicity, ply-angle, number of layers and asymmetric mode on the critical load of spherical caps.

Keywords

Dynamic Buckling, Asymmetric, Isotropic, Angle-ply, Cross-ply, Spherical Caps, Nonlinear Response

Article Details

How to Cite
Gupta, S., Patel, B., Khatri, K., Ganapathi, M., Sambandam, C., & Giri, S. (2023). Asymmetric Dynamic Buckling of Isotropic/ Anisotropic Spherical Caps. Journal of Aerospace Sciences and Technologies, 56(1), 21–31. https://doi.org/10.61653/joast.v56i1.2004.832
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References

  1. Budiansky, B. and Roth, R.S., "Axisymmetric Dynamic Buckling of Clamped Shallow Spherical Shells", NASA TND- I 5 10, 1962, pp.597 -609.
  2. Simitses, G.J., "Axisymmetric Dynamic Snap Through Buckling of Shallow Spherical Caps", American Institute of Aeronautics and Astronautics Journal, 5, 1967, pp.l0l9-1021.
  3. Haung, N.C., "Axisymmetric Dynamic Snap Through of Elastic Clamped Shallow Shell", American Institute of Aeronautics and Astronautics Journal, 7, 1969, pp.215-220.
  4. Stephens, W.B. and Fulton, R.E., "Axisymmetric Static and Dynamic Buckling of Spherical Caps due to Centrally Distributed Pressure", American Institute of Aeronautics and Astronautics Journal. 7.
  5. , pp.2120-2126.
  6. Ball, R.E. and Burt, J.A., "Dynamic Buckling of Shallow Spherical Shells", ASME Journal of Applied Mechanics, 41, 1973, pp.4l 1416.
  7. Stricklin, J.A. and Martinez, J.E., "Dynamic Buckling of Clamped Spherical Cap under Step Pressure Loadings", American Institute of Aeronautics and Astronautics Journal, 7, 1969, pp.l2l2-1213.
  8. Kao, R. and Perrone, N., "Dynamic Buckling of Axisymmetric Spherical Caps with Initial Imperfection", Computers and Stuctures, 9, 1978, pp.463473.
  9. Kao, R., "Nonlinear Dynamic Buckling of Spherical Caps with Initial Imperfection", Computers and Structures, 12, 1980, pp.49-63.
  10. Saigal, S., Yang, T.Y. and Kapania, R.K., "Dynamic Buckling of Imperfection Sensitive Shell Structures", Journal of Aircraft, 24, 1987,pp.718-724.
  11. Yang, T.Y. and Liaw, D.G., "Elastic-Plastic Dynamic Buckling of Thin Shell Finite Elements with Asymmetric Imperfections", American Instifute of Aeronautics and Astronautics Journal, 25, 1988, pp.479-485.
  12. Lock, M.H., Okubo, S. and Whitter, J.S., "Experiments on the Snapping of a Shallow Dome Under a Step Pressure Load", American Institute of Aeronautics and Astronautics Joumal, 6, 1968, pp. 13201326.
  13. Stricklin, J.A., Martinez, J .E., Tillerson, J.R., Hong, J.H. and Haisler, W.E., "Nonlinear Dynamic Analysis of Shells of Revolution by Matrix Displacement Method", American lnstitute of Aeronautics and Astronautics Journal, 9, l9l l, pp.629 -636.
  14. Klosner, J.M. and Longhitano, R., "Nonlinear Dynamics of Hemispherical Shells", American Institute of Aeronautics and Astronautics Journal, 11, 1973, pp.lllT -rt22.
  15. Akkas, N., "Bifurcation and Snap-Through Phenamena in Asymmetric Dynamic Analysis of Shallow Spherical Shells", Computers and Structures, 6, L976,pp.241-251.
  16. Alwar, R.S. and Sekhar Reddy, B., "Dynamic Buckling of Isotropic and Orthotropic Shallow Spherical Caps with Circular Hole", International Journal of Mechanical Sciences, 21, 191 9, pp.68 1 -688.
  17. Ganapathi, M. and Varadan, T.K., "Dynamic Buckling of Orthotropic Shallow Spherical Shells", Computers and Structures, 15, 1982, pp.517 -520.
  18. Dumir, P.C., Gandhi, M.L. and Nath, Y., "Axisymmetric Static and Dynamic Buckling of Orthotropic Shallow Spherical Caps with Flexible Supports", Acta mechanica, 52, 1984, pp.93-106.
  19. Chao, C.C. and Lin, I.S., "Static and Dynamic Snap Through of Orthotropic Spherical Caps", Composite Structures, 14, 1990, pp.28 l -30 1.
  20. VOL.56. No.l Ganapathi, M. and Varadan, T.K., "Dynamic Buckling of Laminated Anisotropic Spherical Caps", ASME Journal of Applied Mechanics, 62, 1995, pp. l3-19.
  21. Balakrishna, C. and Sarma, B.S., "Analysis of Axi-symmetric Shells Subjected to Asymmetric Loads using Field Consistent Shear Flexible Curved Element", The Journal of the Aeronautical Society of India, 4 l, I 989, pp. 89-95.
  22. Ganapathi, M., Varadan, T.K. and Jijen, J., "Field-Consistent Element Applied to Flutter Analysis of Circular Cylindrical Shells", Journal of Sound and Vibration, 17 l, 1994, pp.509-527.
  23. Simitses, G.J., "Dynamic Stability of Suddenly Loaded Structures", Springer-Verlag, New York,1989.
  24. Fulton, R.E. and Barton, F.W., "Dynamic Buckling of Shallow Arches", ASCE Journal of Engineering Mechanics Division, EMz, 191 1,pp.865-877.
  25. Ueda, T., "Nonlinear Free Vibrations of Conical Shells", Journal of Sound and Vibration,64, 1979, pp.85-95.
  26. Tong, P. and Pian, T.H.H., "Post buckling Analysis of Shells of Revolution by the Finite Element Method", Thin Shell Structures, Edited by Fung,
  27. Y.C. and Sechler, E.8., Prentice-Hall, Inc, Englewood
  28. Cliffs, New Jersey, 1974.
  29. Amabili, M., Pellicano, F. and Paidoussis, M.P., "Nonlinear Dynamics and Stability of Circular Cylindrical Shells Containing Flowing Fluid, Part-II : Large Amplitude Vibrations without Flow", Journal of Sound and Vibration,228, 1999, pp. I 103-1 124.
  30. Kraus, H., Thin Elastic Shells, John Wiley, New York, 1967.
  31. Jones, R.M., "Mechanics of Composite Materials", McGraw-Hill, New York, 1975.
  32. Rajasekaran, S. and Murray, D.W., "Incremental Finite Element Matrices", ASCE Journal of Structures Division, 99, 197 3, pp.2423 -2438.

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