DOI QR코드

DOI QR Code

Nonlinear thermoelastic response of laminated composite conical panels

  • Joshi, R.M. (Department of Mechanical Engineering, Faculty of Technology, D. D. University) ;
  • Patel, B.P. (Department of Applied Mechanics, Indian Institute of Technology Delhi)
  • 투고 : 2007.07.18
  • 심사 : 2009.09.30
  • 발행 : 2010.01.10

초록

Nonlinear thermoelastic static response characteristics of laminated composite conical panels are studied employing finite element approach based on first-order shear deformation theory and field consistency principle. The nonlinear governing equations, considering moderately large deformation, are solved using Newton-Raphson iterative technique coupled with the adaptive displacement control method to efficiently trace the equilibrium path. The validation of the formulation for mechanical and thermal loading cases is carried out. The present results are found to be in good agreement with those available in the literature. The adaptive displacement control method is found to be capable of handling problems with multiple snapping responses. Detailed parametric study is carried out to highlight the influence of semicone angle, boundary conditions, radius-to-thickness ratio and lamination scheme on the nonlinear thremoelastic response of laminated cylindrical and conical panels.

키워드

참고문헌

  1. Bergan, P.G. and Clough, R.W. (1972), "Convergence criteria for iterative processes", AIAA J., 10, 1107-1108. https://doi.org/10.2514/3.50313
  2. Han, S.C., Kim, K.D. and Kanok-Nukulchai, W. (2004), "An element-based 9-node resultant shell element for large deformation analysis of laminated composite plates and shells", Struct. Eng. Mech., 18, 807-829. https://doi.org/10.12989/sem.2004.18.6.807
  3. Huang, N.N. and Tauchert, T.R. (1991), "Large deflections of laminated cylindrical and doubly-curved panels under thermal loading", Comput. Struct., 41, 303-312. https://doi.org/10.1016/0045-7949(91)90433-M
  4. Hui, D. (1985), "Asymmetric postbuckling of symmetrically laminated cross ply, short cylindrical panels under compression", Compos. Struct., 3, 81-95. https://doi.org/10.1016/0263-8223(85)90029-7
  5. Jayachandran, S.A., Kalyanraman, V. and Narayanan, R. (2004), "Marguerre shell type secant matrices for the postbuckling analysis of thin, shallow composite shells", Struct. Eng. Mech., 18, 41-58. https://doi.org/10.12989/sem.2004.18.1.041
  6. Jones, R.M. (1975), Mechanics of Composite Materials, McGraw-Hill, New York.
  7. Kraus, H. (1976), Thin Elastic Shells, John Wiley & Sons, Inc., New York.
  8. Kweon, J.H. and Hong, C.S. (1993), "Postbuckling analysis of composite laminated cylindrical panels under axial compression", AIAA J., 31, 1535-1537. https://doi.org/10.2514/3.49088
  9. Kwon, Y.D., Kwon, H.W. and Lim, B.S. (2005), "Nonlinear analysis using load-displacement control", Struct. Eng. Mech., 19, 153-172. https://doi.org/10.12989/sem.2005.19.2.153
  10. Laschet, G. and Jeusette, J.P. (1990), "Postbuckling finite element analysis of composite panels", Compos. Struct., 14, 35-48. https://doi.org/10.1016/0263-8223(90)90057-L
  11. Lee, J.J., Oh, H.K., Lee, I. and Yeom, C.H. (2002), "Thermal postbucking behavior of patched laminated panels under uniform and non-uniform temperature distributions", Compos. Struct., 55, 137-145. https://doi.org/10.1016/S0263-8223(01)00139-8
  12. Lopez, S. (2001), "Geometrically nonlinear analysis of plates and cylindrical shells by a predictor-corrector method", Comput. Struct., 79, 1405-1415. https://doi.org/10.1016/S0045-7949(01)00030-X
  13. Oh, I.K. and Lee, I. (2001), "Thermal snapping and vibration characteristics of cylindrical composite panels using layerwise theory", Compos. Struct., 51, 49-61. https://doi.org/10.1016/S0263-8223(00)00123-9
  14. Patel, B.P., Shukla, K.K. and Nath, Y. (2005), "Thermal postbuckling characteristics of laminated conical shells with temperature dependent material properties", AIAA J., 43, 1380-1388. https://doi.org/10.2514/1.13259
  15. Prathap, G., Naganarayana, B.P. and Somashekar, B.R. (1988), "Field-consistency analysis of the isoparametric eight-noded plate bending element", Comput. Struct., 29, 857-873. https://doi.org/10.1016/0045-7949(88)90354-9
  16. Rajshekaran, S. and Murray, D.W. (1973), "Incremental finite element matrices", J. Struct. Div., ASCE, 99, 2423-2438.
  17. Ren-Huai, L. (1996), "Non-linear buckling of symmetrically laminated, cylindrically orthotropic, shallow, conical shells considering shear", Int. J. Non-Linear Mech., 31, 89-99. https://doi.org/10.1016/0020-7462(95)00046-1
  18. Spagnoli, A. (2001), "Different buckling modes in axially stiffened conical shells", Eng. Struct., 23, 957-965. https://doi.org/10.1016/S0141-0296(00)00112-7
  19. Spagnoli, A. and Chryssanthopoulos, M.K. (1999), "Elastic buckling and postbuckling behaviour of widelystiffened conical shells under axial compression", Eng. Struct., 21, 845-855. https://doi.org/10.1016/S0141-0296(98)00036-4
  20. Tani, J. (1985), "Buckling of truncated conical shells under combined axial load, pressure and heating", J. Appl. Mech. - T. ASME, 52, 402-408. https://doi.org/10.1115/1.3169061
  21. Tsai, C.T. and Palazotto, A.N. (1991), "Nonlinear and multiple snapping responses of cylindrical panels comparing displacement control and riks method", Comput. Struct., 8, 605-610.
  22. Yoo, S.K. and Choi, C.K. (2000), "Geometrically nonlinear analysis of laminated composites by an improved degenerated shell element", Struct. Eng. Mech., 9, 99-110. https://doi.org/10.12989/sem.2000.9.1.099
  23. Zhang, Y. and Matthews, F.L. (1983), "Postbuckling behaviour of curved panels of generally layered composite materials", Compos. Struct., 1, 115-135. https://doi.org/10.1016/0263-8223(83)90008-9

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