Static, free and forced vibration analysis of arbitrary non-uniform shells with tapered stiffeners

Computers and Structures

Volumn 62, Issue 5, 1997, Pages 919-933

  Sinha, G ^a   Mukhopadhyay, M ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; DYNAMIC LOADS; FINITE ELEMENT METHOD; OSCILLATIONS; PLATES (STRUCTURAL COMPONENTS); SHELLS (STRUCTURES); STIFFNESS; STRUCTURAL MEMBERS; TIME DOMAIN ANALYSIS; VIBRATIONS (MECHANICAL);

CONVERGENCE TEST; ELEMENT GRIDWORK REFINEMENT; FINITE ELEMENT MESH GENERATION SCHEME; STATIC LOADING; STIFFENERS; VIBRATION ANALYSIS;

DYNAMIC RESPONSE;

EID: 0031094502     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7949(95)00402-5     Document Type: Article

References (23)

1. M. Mukhopadhyay, A semianalytic solution for rectangular plate bending. Comput. Struct. 9, 81-87 (1978).
2. S. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells, 2nd Edn. McGraw-Hill, New York (1959).
3. I. Chopra and S. Durvasula, Natural frequencies and mode of tapered skew plates. Int. J. Mech. Engng Sci. 13, 935-944 (1971).
4. V. A. Pulmano and R. K. Gupta, Frequency analysis of tapered rectangular plates by finite strip method. UNICIV Report no. R159, University of New South Wales, Kensington, Australia.
5. M. D. Olson and G. M. Lindberg, Dynamic analysis of shallow shells with a doubly-curved triangular finite element. J. Sound Vibr. 19, 299-318 (1971).
6. M. D. Minich and C. C. Chamis, Doubly-Curved variable thickness isoparametric heterogeneous finite element. Comput. Struct. 7, 295-301 (1977).
7. R. A. F. Martins, Structural instability and natural vibration analysis of thin arbitrary shells by use of the semiloof element. Int. J. numer. Meth. Engng 11, 481-498 (1977).
8. M. D. Olson and C. R. Hazell, Vibrations of a square plate with parabolically varying thickness. J. Sound Vibr. 62, 399-410 (1979).
9. A. Mukherjee and M. Mukhopadhyay, Finite element free flexural vibration analysis of plates having various shapes and varying rigidities. Comput. Struct. 23, 807-812 (1986).
10. D. G. Fertis and C. T. Lee, Elastic and inelastic analysis of variable thickness plates, using equivalent systems. Mech. Struct. Mach. 21, 201-236 (1993).
11. N. F. Madsen, Vibrations of orthogonally stiffened panels. J. Ship Res. 22, 100-109 (1978).
12. N. F. Madsen, Vibrations of orthogonally stiffened panels. The Danish Center for Applied Mathematics and Mechanics, Report no. 114, pp. 1-31 (1976).
13. A. H. Sheikh, Linear and nonlinear analysis of stiffened plate structures under static and dynamic loading by the spline finite strip method. Ph.D. thesis submitted to the Department of Naval Architecture, Indian Institute of Technology, Kharagpur, January (1993).
14. B. Chattopadhyay, Linear and nonlinear static and dynamic analysis of composite stiffened plates by the finite element method. Ph.D. thesis submitted to the Department of Naval Architecture, Indian Institute of Technology, Kharagpur, July (1993).
15. M. Mukhopadhyay and G. Sinha, A review on the dynamic behavior of stiffened shells. Shock Vibr. Dig. 24, 3-13 (1992).
16. G. Sinha, A. H. Sheikh and M. Mukhopadhyay, A new finite element model for the analysis of arbitrary stiffened shells. Finite Elem. Anal. Des. 12, 241-271 (1993).
17. G. Sinha and M. Mukhopadhyay, Finite element free vibration analysis of arbitrary stiffened plates and shells. J. Sound Vibr. 171, 529-548 (1994).
18. G. Sinha and M. Mukhopadhyay, Transient dynamic response of arbitrary stiffened shells by the finite element method. J. Vibr. Acoust. Trans. ASME 117, 11-16 (1995).
19. G. R. Cowper, G. M. Lindberg and M. D. Olson, A shallow shell finite element of triangular shape. Int. J. Solids Struct. 6, 1133-1156 (1970).
20. V. V. Novozhilov, The Theory of Thin Shells, 2nd Edn, Section 17a. Noordhoff, Leiden, The Netherlands (1964).
21. K. J. Bathe and E. L. Wilson, Numerical Methods in Finite Element Analysis. Prentice Hall of India, New Delhi (1987).
22. R. B. Corr and A. Jennings, A simultaneous iteration algorithm for symmetric eigenvalue problems. Int. J. numer. Meth. Engng 10, 647-663 (1976).
23. J. Jiang and M. D. Olson, Nonlinear dynamic analysis of blast loaded cylindrical shell structures. Comput. Struct. 41, 41-52 (1991).