DOI QR코드

DOI QR Code

The buckling of a cross-ply laminated non-homogeneous orthotropic composite cylindrical thin shell under time dependent external pressure

  • Sofiyev, A.H. (Department of Civil Engineering, Suleyman Demirel University)
  • 투고 : 2002.05.28
  • 심사 : 2002.10.04
  • 발행 : 2002.12.25

초록

The subject of this investigation is to study the buckling of cross-ply laminated orthotropic cylindrical thin shells with variable elasticity moduli and densities in the thickness direction, under external pressure, which is a power function of time. The dynamic stability and compatibility equations are obtained first. These equations are subsequently reduced to a system of time dependent differential equations with variable coefficients by using Galerkin's method. Finally, the critical dynamic and static loads, the corresponding wave numbers, the dynamic factors, critical time and critical impulse are found analytically by applying a modified form of the Ritz type variational method. The dynamic behavior of cross-ply laminated cylindrical shells is investigated with: a) lamina that present variations in the elasticity moduli and densities, b) different numbers and ordering of layers, and c) external pressures which vary with different powers of time. It is concluded that all these factors contribute to appreciable effects on the critical parameters of the problem in question.

키워드

참고문헌

  1. Agamirov, V.L. (1990), Nonlinear Theory of the Shells, Moscow, Nauka (in Russian).
  2. Aksogan, O. and Sofiyev, A. (2000), "The dynamic stability of a laminated nonhomogeneous orthotropic elasticcylindrical shell under a time dependent external pressure", (In Eds. Becker AA) Proc. Int. Conf. on ModernPractice in Stress and Vibration Analysis, Nottingham, UK, 349-360.
  3. Aksogan, O. and Sofiyev, A. (2002), "Dynamic buckling of a cylindrical shell with variable thickness subject toa time dependent external pressure varying as a power function of time ", J. Sound Vib., 254(4), 693-702. https://doi.org/10.1006/jsvi.2001.4115
  4. Ambartsumian, S.A. (1964), Theory of Anisotropic Shells, TT F-118, NASA.
  5. Argento, A. and Scott, R.A. (1993), "Dynamic instability of layered anisotropic circular cylindrical shells", Part I:Theoretical development. J. Sound Vib., 162(2), 311-322. https://doi.org/10.1006/jsvi.1993.1120
  6. Elishakoff, I. (2001), "Inverse buckling problem for inhomogeneous columns", Int. J. Solids Struct., 38, 457-464. https://doi.org/10.1016/S0020-7683(00)00049-4
  7. Greenberg, J.B. and Stavsky, Y. (1980), "Buckling and vibration of orthotropic composite cylindrical shells",Acta Mechanica, 36, 15-29. https://doi.org/10.1007/BF01178233
  8. Greenberg, J.B. and Stavsky, Y. (1998), "Vibrations and buckling of composite orthotropic cylindrical shells withnon-uniform axial loads", Composites Part B-Engineering, 29, 695-703. https://doi.org/10.1016/S1359-8368(98)00029-8
  9. Gutierrez, R.H., Laura, P.A.A., Bambill, D.V., Jederlinic, V.A. and Hodges, D.H. (1998), "Axisymmetricvibrations of solid circular and annular membranes with continuously varying density", J. Sound Vib., 212(4),611-622. https://doi.org/10.1006/jsvi.1997.1418
  10. Heyliger, P.R. and Julani, A. (1992), "The free vibrations of inhomogeneous elastic cylinders and spheres", Int. J.Solids Struct., 29, 2689-2708. https://doi.org/10.1016/0020-7683(92)90112-7
  11. Jones, R.M. and Morgan, H.S. (1975), "Buckling and vibration of cross-ply laminated circular cylindrical shells",AIAA J., 13(5), 664-671. https://doi.org/10.2514/3.49782
  12. Leissa, A.W. (1973), Vibration of Shells, NASA SP-288.
  13. Lomakin, V.A. (1976), The Elasticity Theory of Non-homogeneous Materials, Moscow, Nauka. (in Russian)
  14. Mao, R.J. and Lu, C.H. (1999), "Buckling analysis of a laminated cylindrical shell under torsion subjected tomixed boundary conditions", Int. J. Solids Struct., 36(25), 3821-3835. https://doi.org/10.1016/S0020-7683(98)00178-4
  15. Massalas, C., Dalamanagas, D. and Tzivanidis, G. (1981), "Dynamic instability of truncated conical shells withvariable modulus of elasticity under periodic compressive forces", J. Sound Vib., 79, 519-528. https://doi.org/10.1016/0022-460X(81)90463-6
  16. Mecitoglu, Z. (1996), "Governing equations of a stiffened laminated inhomogeneous conical shell", AmericanInstitute of Aeronautics and Astronautics Journal, 34, 2118-2125. https://doi.org/10.2514/3.13360
  17. Ng, T.Y. and Lam, K.Y. (1999), "Dynamic stability analysis of cross-ply laminated cylindrical shells usingdifferent thin shell theories", Acta Mechanica, 134, 147-167. https://doi.org/10.1007/BF01312653
  18. Ng, T.Y., Lam, K.Y. and Reddy, J.N. (1998), "Dynamic stability of cross-ply laminated composite cylindricalshells", Int. J. Mech. Sci., 40, 805-823. https://doi.org/10.1016/S0020-7403(97)00143-4
  19. Ogibalov, P.M., Lomakin, V.A. and Kishkin, B.P. (1975), Mechanics of Polymers, Moscow State University,Moscow. (in Russian).
  20. Park, H.C., Cho, C.M. and Choi, Y.H. (2001), "Torsional buckling analysis of composite cylinders", AIAA J.,39(5), 951-955. https://doi.org/10.2514/2.1400
  21. Reddy, J.N. (1997), Mechanics of Laminated Composite Plates, Boca Raton, CRC Press.
  22. Sachenkov, A.V. and Baktieva, L.U. (1978), "Approach to the solution of dynamic stability problems of thinshells", Research on the Theory of Plates and Shells, Kazan State University, Kazan, 13, 137-152 (in Russian).
  23. Shumik, M.A. (1970), "The buckling of a cylindrical shells subjected to a dynamic radial pressure", VII Int.Conf. on the Theory of Plates and Shells, Moskova, 625-628.
  24. Sofiyev, A.H. and Aksogan, O. (2002), "The dynamic stability of a non-homogeneous orthotropic elastic conicalshell under a time dependent external pressure", Int. J. Struct. Eng. Mech., 13(3), 329-343. https://doi.org/10.12989/sem.2002.13.3.329
  25. Soldatos, K.P. and Tzivanidis, G.J.(1982), "Buckling and vibration of cross-ply laminated circular cylindricalpanels", J. Applied Mathematics and Physics (ZAMP), 33, 230-240.
  26. Tarn, J.Q. (1994), "An asymptotic theory for dynamic-response of anisotropic inhomogeneous and laminatedcylindrical shells", J. Mech. Phys. Solids, 42, 1633-1650. https://doi.org/10.1016/0022-5096(94)90090-6
  27. Tong, L. and Wang, T.K. (1992), "Simple solutions for buckling of laminated conical shells", Int. J. Mech. Sci.,34(2), 93-111. https://doi.org/10.1016/0020-7403(92)90076-S
  28. Tong, L. (1993), "Free vibrations of composite laminated conical shells", Int. J. Mech. Sci., 35, 47-61. https://doi.org/10.1016/0020-7403(93)90064-2
  29. Vinson, J.R. and Sierakowski, R.L. (1986), The Behavior of Structures Composed of Composite Material,Nijhoft, Dordrecht.
  30. Volmir, A.S. (1967), Stability of Elastic Systems, Nauka, Moscow, English Translation: Foreign TechnologyDivision, Air Force Systems Command. Wright-Patterson Air Force Base, Ohio, AD628508.
  31. Wang, B, Han, J. and Du, S. (1998), "Dynamic fracture mechanics analysis for composite material with materialnonhomogeneity in thickness direction", Acta Mechanica Solid Sinica, 11, 84-93.
  32. Yakushev, A.N. (1990), "The stability of orthotropic cylindrical shells under dynamic pressure", Research on theTheory of Plates and Shells, Kazan State University, Kazan, 20, 215-222 (in Russian).
  33. Zhang, X. and Hasebe, N. (1999), "Elasticity solution for a radially nonhomogeneous hollow circular cylinder",J. Appl. Mech., ASME, 66, 598-606. https://doi.org/10.1115/1.2791477

피인용 문헌

  1. Combined influences of shear deformation, rotary inertia and heterogeneity on the frequencies of cross-ply laminated orthotropic cylindrical shells vol.66, 2014, https://doi.org/10.1016/j.compositesb.2014.06.015
  2. The torsional buckling analysis for cylindrical shell with material non-homogeneity in thickness direction under impulsive loading vol.19, pp.2, 2005, https://doi.org/10.12989/sem.2005.19.2.231
  3. Elasto-plastic stability of circular cylindrical shells subjected to axial load, varying as a power function of time vol.24, pp.5, 2006, https://doi.org/10.12989/sem.2006.24.5.621
  4. Buckling analysis of composite panels and shells with different material properties by discrete singular convolution (DSC) method vol.161, 2017, https://doi.org/10.1016/j.compstruct.2016.10.077
  5. The effect of non-homogeneity on the stability of laminated orthotropic conical shells subjected to hydrostatic pressure vol.43, pp.1, 2002, https://doi.org/10.12989/sem.2012.43.1.089