Dynamic instability of stiffened plates subjected to non-uniform harmonic in-plane edge loading

Journal of Sound and Vibration

Volumn 262, Issue 5, 2003, Pages 1171-1189

  Srivastava, A K L ^a   Datta, P K ^a   Sheikh, A H ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; BOUNDARY CONDITIONS; FINITE ELEMENT METHOD; LOADS (FORCES);

DYNAMIC INSTABILITY; STATIC LOAD FACTOR; STIFFENED PLATES;

SYSTEM STABILITY;

EID: 0037717013     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-460X(02)01094-5     Document Type: Article

References (20)

1. V.V. Bolotin, The Dynamic Stability of Elastic Systems, Holden-Day, San Francisco, 1964.
2. K.S. Jagdish, The dynamic stability of degenerate systems under parametric excitation, Ingenieur-Archiv 43 (1974) 240-246.
3. N. Yamaki, K. Nagai, Dynamic stability of rectangular plates under periodic compressive forces, Report of the Institute of High Speed Mechanics, Tohoku University, Japan, No. 32, 1975, pp. 103-127.
4. J.M. Hutt, A.E. Salam, Dynamic instability of plates by finite element method, American Society of Civil Engineers Journal of Engineering Mechanics 3 (1971) 879-899.
5. K. Takahashi, Y. Konishi, Dynamic stability of rectangular plate subjected to distributed in-plane dynamic force, Journal of Sound and Vibration 123 (1) (1988) 115-127.
6. P.J. Deolasi, P.K. Datta, Parametric instability characteristics of rectangular plates subjected to localized edge compressing (compression or tension), Computer and Structures 54 (1995) 73-82.
7. D.L. Prabhakar, P.K. Datta, Parametric instability characteristic of rectangular plates with localized damage subjected to in-plane periodic load, Computer and Structures 49 (1994) 825-836.
8. S.A. Ambartsumyan, A.A. Khachaturian, On the stability and vibration of an anisotropic plate, Dokladi Akad SSR 1 (1960) 113-122 (in Russian).
9. R.C. Duffield, N. Willens, Parametric resonance of rectangular plates, Journal of Applied Mechanics 39 (1972) 217-226.
10. R.G. Merrit, N. Willens, Parametric resonance of skew stiffened plates, Journal of Applied Mechanics 40 (1973) 439-444.
11. M. Mermertas, H. T. Belek, Dynamic stability of radially stiffened annular plates, Computer and Structures 40 (3) (1991) 651-657.
12. C.L. Liao, C.R. Cheng, Dynamic stability of stiffened laminated composite plates and shells subjected to in-plane pulsating forces, Journal of Sound and Vibration 174 (3) (1994) 335-351.
13. M. Mukhopadhyay, A. Mukharjee, Finite element buckling analysis of stiffened plates, Computer and Structures 34 (6) (1990) 795-803.
14. A.H. Sheikh, M. Mukhopadhyay, Free vibration analysis of stiffened plates with arbitrary planform by the general spline finite strip method, Journal of Sound and Vibration 162 (1) (1993) 147-164.
15. A. Mukherjee, M. Mukhopadhyay, Finite elements free vibration of eccentrically stiffened plates, Computer and Structures 30 (6) (1988) 1303-1318.
16. O.C. Zienkiewicz, R.L. Taylor, The Finite Element Method, 4th Edition, McGraw-Hill, New York, 1989.
17. R.B. Corr, A. Jenning, A simultaneous iteration algorithms for symmetric eigenvalue problem, International Journal for Numerical Methods in Engineering 10 (1976) 647-663.
18. A.W. Leissa, E.F. Ayoub, Vibration and buckling of simply supported rectangular plate subjected to a pair of inplane concentrated forces, Journal of Sound and Vibration 127 (1988) 155-171.
19. C.J. Brown, Elastic stability of plates subjected to concentrated loads, Computer and Structures 33 (5) (1989) 1325-1327.
20. S.P. Timoshenko, J.M. Gere, Theory of Elastic Stability, 2nd Edition, McGraw-Hill, New York, 1961.