Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-22T10:25:42.263Z Has data issue: false hasContentIssue false

Finite element free vibration analysis ofstiffened plates

Published online by Cambridge University Press:  04 July 2016

Abhijit Mukherjee
Affiliation:
Department of Naval Architecture, Indian Institute of Technology, Kharagpur, India
Madhujit Mukhopadhyay
Affiliation:
Department of Naval Architecture, Indian Institute of Technology, Kharagpur, India

Summary

Free vibration characteristics of stiffened plates possessing symmetrical stiffeners have been investigated by the finite element method. The main elegance of the element used lies in that the formulation takes into account the arbitrary orientation of a stiffener inside the plate element. The element being isoparametric in nature caters effectively for the irregular edges of the boundary as well as the transverse shear deformation of the plate and the stiffeners. Rectangular and skew stiffened plates having various boundary conditions and with stiffeners varying in number and in spacing, have been analysed. The correlation of the natural frequencies obtained by the present approach with the published results have been found to be very good.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 1986 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Hoppman, W. H. II and Baltimore, M. Bending of orthogonally stiffened plates. J Appl Mec, 1955, 22, 267271.Google Scholar
2. Lin, Y. K. Free vibration of continuous skin stringer panels. J Appl Mec, 1960, 27, 669676.Google Scholar
3. Wah, T. Vibration of stiffened plates. Aero Quarterly, 1964, XV, 285298.Google Scholar
4. Kirk, C. L. Natural frequencies of stiffened rectangular plates. J Sound and Vibr, 1970, 13, 375388.Google Scholar
5. Olson, M. D. and Lindberg, G. M. Jet noise excitation of an integrally stiffened panel. J Aircraft, 1971, 8, 847855.Google Scholar
6. Olson, M. D. and Hazell, C. R. Vibration studies on some integral rib-stiffened plates. J Sound and Vibr, 1977, 50, 4361.Google Scholar
7. Yurokovich, R. N., Schmidt, J. N. and Zak, A. R. Dynamic analysis of stiffened panel structures. J Aircraft, 1971, 8, 149155.Google Scholar
8. Aksu, G. and Ali, R. Free vibration analysis of stiffened plates using finite difference method. J of Sound and Vibr, 1976, 48, 1525.Google Scholar
9. Aksu, G. Free vibration analysis of stiffened plates by including the effect of inplane inertia. J of Applied Mechanics, 1982, 49, 206212.Google Scholar
10. Bhandari, N. C., Pujara, K. K. and Juneja, B. L. Free vibration of skew stiffened plates. J Acou Soc of India, 1979, VII, 1319.Google Scholar
11. Nair, P. S. and Rao, M. S. On vibration of plates with varying stiffener length. J Sound and Vibr, 1984, 95, 1929.Google Scholar
12. Mukhopadhyay, M. and Satsangi, S. K. Isoparametric stiffened plate bending element for the analysis of ship's structure. The Royal Inst of Naval Arch, 1984, 126, 144151.Google Scholar
13. Satsangi, S. K. and Mukhopadhyay, M. Analysis of double plated structures. Proc 3rd Int Congress Mar Tech, Athens, 1984, 5967.Google Scholar
14. Rock, T. A. and Hinton, E. A finite element method for the free vibration of plates allowing for transverse shear deformation. Comp & Structures, 1976, 6, 3744.Google Scholar
15. Corr, R. B. and Jennings, E. A simultaneous interation algorithm for solution of symmetric eigenvalue problem. Int J Num Meth in Eng, 1976, 10, 647663.Google Scholar