Structural Engineering and Mechanics

  • 제19권2호
  • /
  • Pages.231-236
  • /
  • 2005
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

The torsional buckling analysis for cylindrical shell with material non-homogeneity in thickness direction under impulsive loading

  • Sofiyev, A.H. (Department of Civil Engineering, Suleyman Demirel University)
  • 투고 : 2003.01.14
  • 심사 : 2004.09.08
  • 발행 : 2005.01.30
⟨ 이전 논문 다음 논문 ⟩

초록

This study considers the buckling of orthotropic cylindrical thin shells with material nonhomogeneity in the thickness direction, under torsion, which is a power function of time. The dynamic stability and compatibility equations are obtained first. Applying Galerkin's method then applying Ritz type variational method to these equations and taking the large values of loading parameters into consideration, analytic solutions are obtained for critical parameter values. Using those results, the effects of the periodic and power variations of Young's moduli and density, ratio of Young's moduli variations, loading parameters variations and the power of time in the torsional load expression variations are studied via pertinent computations. It is concluded that all these factors contribute to appreciable effects on the critical parameters of the problem in question.

키워드

참고문헌

  1. Donnell, L.H. (1933), Stability of Thin-walled Tubes under Torsion, TR 479, NACA
  2. Gutierrez, R.H., Laura, PAA, Bambill, D.V., Jederlinic, V.A and Hodges, D.H. (1998), 'Axisymmetric vibrations 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
  3. Khoroshun, L.P. and Kozlov, S.Y (1988), The Generalized Theory of Plates and Shells Non-homogeneous in Thiclmess Direction, Naukova Dumka, Kiev. (in Russian)
  4. Massalas, C., Dalamanagas, D. and Tzivanidis, G. (1981), 'Dynamic instability of truncated conical shells with variable modulus of elasticity under periodic compressive forces', J. Sound Vib., 79, 519-528 https://doi.org/10.1016/0022-460X(81)90463-6
  5. Park, H.C., Cho, C.M. and Choi, YH. (2001), 'Torsional buckling analysis of composite cylinders', AIAA J., 39(5), 951-955 https://doi.org/10.2514/2.1400
  6. Sachenkov, A.V. and Baktieva, L.U. (1978), 'Approach to the solution of dynamic stability problems of thin shells', Research on the Theory of Plates and Shells, Kazan State University, Kazan, 13, 137-152. (in Russian)
  7. Sofiyev, A.H. (2002), 'The buckling of a cross-ply laminated non-homogeneous orthotropic composite cylindrical thin shell under time dependent external pressure', Struet. Eng. Mech., 14(6),661-677 https://doi.org/10.12989/sem.2002.14.6.661
  8. Sofiyev, A.H., Ay, Z. and Sofuyev, Ali H. (2003), 'The dynamic buckling of an orthotropic cylindrical thin shell under torsion varying as a power function of time', Acta Mech. Solida Sinica, 16(1),31-37
  9. Tan, D. (2000), 'Torsional buckling analysis of thin and thick shells of revolution', Int. J. Solids Struet., 37, 3055-3078 https://doi.org/10.1016/S0020-7683(99)00120-1
  10. Wang, B.L., Han, J.C. and Du, S.Y (2000), 'Crack problems for non-homogeneous composite material subjected to dynamic loading', Int. J. Solid Struct., 37, 1251-1274 https://doi.org/10.1016/S0020-7683(98)00292-3

피인용 문헌

  1. HAMILTONIAN SYSTEM FOR DYNAMIC BUCKLING OF TRANSVERSELY ISOTROPIC CYLINDRICAL SHELLS SUBJECTED TO AN AXIAL IMPACT vol.08, pp.03, 2008, https://doi.org/10.1142/S0219455408002764
  2. Torsional buckling of generally laminated conical shell vol.52, pp.4-5, 2017, https://doi.org/10.1007/s11012-016-0429-8
  3. Torsional vibration and stability of functionally graded orthotropic cylindrical shells on elastic foundations vol.48, pp.4, 2013, https://doi.org/10.1007/s11012-012-9636-0
  4. The torsional surface wave in a prestressed anisotropic intermediate poroelastic layer of varying heterogeneities vol.24, pp.9, 2018, https://doi.org/10.1177/1077546316668060
  5. Dynamic buckling analysis of a composite stiffened cylindrical shell vol.37, pp.5, 2005, https://doi.org/10.12989/sem.2011.37.5.509