Buckling of a conical thin shell with variable thickness under a dynamic loading

Journal of Sound and Vibration

Volumn 270, Issue 4-5, 2004, Pages 903-915

  Sofiyev, A H ^a   Aksogan, O ^b  

^a SULEYMAN DEMIREL UNIVERSITY   (Turkey)

^b CUKUROVA UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; DYNAMIC LOADS; ELASTIC MODULI; GALERKIN METHODS; POISSON RATIO; SHELLS (STRUCTURES); STRAIN; STRESSES; VARIATIONAL TECHNIQUES;

CONICAL THIN SHELL; RITZ TYPE VARIATIONAL METHOD; VARIABLE THICKNESS;

BUCKLING;

EID: 1542285919     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-460X(03)00638-2     Document Type: Article

References (31)

1. R.M. Bergman, S.A. Sidorin, P.E. Tovstik, The construction of the solutions of the equations for the free vibrations of a cylindrical shell with thickness varying along the directrix, Journal of Mechanics of Solids 14 (4) (1979) 127-134.
2. T. Irie, G. Yamada, Y. Kaneko, Free vibration of a conical shell with variable thickness, Journal of Sound and Vibration 82 (1982) 83-94.
3. S. Takahashi, K. Suzuki, T. Kosawada, Vibrations of conical shells with varying thickness (continued). Bulletin of the Japan Society of Mechanical Engineers 28 (1985) 117-123.
4. M. Ohga, T. Shigematsu, K. Kawaguchi, Buckling analysis of thin-walled members with variable thickness, Journal of Structural Engineering, American Society of Civil Engineers 121 (1995) 919-924.
5. M. Ohga, P. Takao, T. Shigematsu, Vibration analysis of curved panels with variable thickness, Engineering Computations 2-4 (1996) 226-233.
6. N.G. Medvedev, Maximization of the fundamental natural frequency and polymodality of vibrational modes of orthotropic shells of variable thickness, Mechanics of Solids 20 (3) (1985) 140-148.
7. N. Sankaranarayanan, K. Chandrasekaran, G. Ramaiyan, Free vibrations of a laminated conical shell of variable thickness, Journal of Sound and Vibration 123 (1988) 357-371.
8. K. R. Sivadas, N. Ganesan, Vibration analysis of laminated conical shells with variable thickness, Journal of Sound and Vibration 148 (3) (1991) 477-491.
9. W.T. Koiter, I. Elishakoff, Y.W. Li, J.H. Starness, Buckling of an axially compressed cylindrical shell of variable thickness, International Journal of Solids and Structures 31 (1994) 797-805.
10. J.H. Kang, A.W. Leissa, Three-dimensional vibrations of hollow cones and cylinders with linear thickness variations, Journal of the Acoustical Society of America 106 (2) (1999) 748-755.
11. D.V. Bambil, C.A. Rossit, P.A.A. Laura, R.E. Rossi, Transverse vibrations of an orthotropic rectangular plate of linearly varying thickness and with a free edge, Journal of Sound and Vibration 253 (3) (2000) 530-538.
12. D.V. Babic, Natural vibrations of a conical orthotropic shell with small curvatures of the generatrix, International Applied Mechanics 35 (3) (1999) 276-280.
13. C.W. Lim, K.M. Liew, A pb-2 Ritz formulation for flexural vibration of shallow cylindrical shells of rectangular plan-form, Journal of Sound and Vibration 173 (3) (1994) 343-375.
14. C.W. Lim, K.M. Liew, Vibratory behavior of shallow conical shells, Engineering Structures 17 (1) (1995) 63-70.
15. K.M. Liew, M.K. Lim, C.W. Lim, D.B. Li, Y.R. Zhang, Effects of initial twist and thickness variation on the vibration behavior of shallow conical shells, Journal of Sound and Vibration 180 (2) (1995) 271-296.
16. K.M. Liew, C.W. Lim, S. Kitipornchaim, Vibration of shallow shells: a review with bibliography, Applied Mechanics Reviews 50 (8) (1997) 431-444.
17. K.M. Liew, Z.C. Feng, Vibration characteristics of conical shell panels with three-dimensional flexibility, Journal of Applied Mechanics 67 (2) (2000) 314-320.
18. A.V. Sachenkov, G.G. Klementev, Research on the stability of conical shells by theoretical-experimental method under impulsive load, research on the theory of plates and shells, No. 15, Kazan State University, Kazan, 1980, pp. 115-125 (in Russian).
19. L.U. Baktieva, Y.P. Jigalko, Y.G. Konoplev, V.I. Mitryaikin, A.V. Sachenkov, E.B. Filippov, The stability and vibrations of shells under impulsive distribution and local loads, research on the theory of plates and shells, Kazan State University, Kazan, No. 19, 1988, pp. 113-130 (in Russian).
20. M.A. Shumik, The buckling of a conical shell under dynamic axial compression, International Applied Mechanics (Old Soviet Applied Mechanics) 6 (11) (1970) 122-126.
21. M.A. Shumik, The buckling of a truncated conical shell subject to a dynamic external pressure, International Applied Mechanics (Old Soviet Applied Mechanics) 9 (6) (1973) 107-109.
22. A.H. Sofiyev, O. Aksogan, The dynamic stability of a truncated conical shell with variable thickness subject to a time dependent external pressure, Proceedings of the Fifth International Conference On Vibration Problems, "ICOVP-2001", Moscow, 2002, pp. 438-447.
23. A.H. Sofiyev, O. Aksogan, The dynamic stability of a non-homogeneous orthotropic elastic conical shell under a time dependent external pressure, Structural Engineering and Mechanics an International Journal 13 (3) (2002) 329-343.
24. O. Aksogan, A.H. Sofiyev, The dynamic stability of a laminated truncated conical shell with variable elasticity moduli and densities subject to a time-dependent external pressure, Journal of Strain Analysis 37 (3) (2002) 201-210.
25. O. Aksogan, A.H. Sofiyev, Dynamic buckling of a cylindrical shell with variable thickness subject to a time-dependent external pressure, varying as a power function of time, Journal of Sound and Vibration 254 (4) (2002) 693-702.
26. J.R. Vinson, R.L. Sierakowski, The Behavior of Structures Composed of Composite Materials, Nijhoft, Dordrecht, 1986.
27. J. Tani, Dynamic stability of truncated conical shells under periodic external pressure, Vol. 28, The Report of the Institute of High Speed Mechanics, Tohoku University, Japan, 1973, pp. 135-147.
28. V.L. Agamirov, Dynamic Problems of Nonlinear Shell Theory, Nauka, Moscow, 1990 (in Russian).
29. K.M. Mushtari, A.V. Sachenkov, Stability of cylindrical and conical shells of circular cross section with simultaneous action of axial compression and external normal pressure, NACA TM-1433, 1958.
30. W. Schnell, Die dünwendige kegelschale unter axial and innendruck, Zeitschrift Flugwissenschaft 10 (heft 4/5) (1962) 154-160 (in German).
31. A. Pflüger, Stabilitaetsprobleme der Elastostatik, Springer, Göttingen, Heidelberg, New York, 1964 (in German).