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Structural engineering and mechanics : An international journal v.19 no.2, 2005년, pp.231 - 236   피인용횟수: 1

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  );
  • 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.


  • 주제어

    torsion .   buckling .   non-homogeneous orthotropic material .   cylindrical shell .   critical torsional loads .   dynamic factor.  

  • 참고문헌 (10)

    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 
    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 
    5. Park, H.C., Cho, C.M. and Choi, YH. (2001), 'Torsional buckling analysis of composite cylinders', AIAA J., 39(5), 951-955 
    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   
    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 
    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 
  • 이 논문을 인용한 문헌 (1)

    1. 2011. "" Structural engineering and mechanics : An international journal, 37(5): 509~527   

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