Hostname: page-component-77c89778f8-7drxs Total loading time: 0 Render date: 2024-07-16T10:17:34.574Z Has data issue: false hasContentIssue false
  • English
  • Français

Vibration and damping analysis of doubly curved sandwich panels with viscoelastic core

Published online by Cambridge University Press:  04 July 2016

J. Vaswani ,
N. T. Asnani  and
B. C. Nakra
J. Vaswani
Affiliation:
Mechanical Engineering Department, Indian Institute of Technology, New Delhi
N. T. Asnani
Affiliation:
Mechanical Engineering Department, Indian Institute of Technology, New Delhi
B. C. Nakra
Affiliation:
Mechanical Engineering Department, Indian Institute of Technology, New Delhi
Get access Rights & Permissions [Opens in a new window]

Abstract

The governing differential equations of motion for flexural vibrations of a doubly curved sandwich panel consisting of stiff elastic face layers sandwiching soft viscoelastic core have been derived, considering extension and bending deformations of the face layers and shear deformations of the core, using variational principles. Solution for panel with simply supported edges is assumed in series summation form and the correspondence principle of linear viscoelasticity is applied for evaluation of resonance frequencies and associated system loss factors. The effects of variations of geometrical and material parameters on the resonance frequencies and associated system loss factors are reported.

Type
Research Article
Information
The Aeronautical Journal , Volume 88 , Issue 879 , November 1984 , pp. 395 - 403
Copyright
Copyright © Royal Aeronautical Society 1984 

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. Kerwin, E. M. Damping of Flexural waves by a constrained viscoelastic layer. J Acoust, Soc A, 1959, 31,952.Google Scholar
2. Nakra, B.C. Vibration of Viscoelastically damped laminated structures. Ph.D. Thesis, University of London, 1966.Google Scholar
3. Asnani, N. T. and Nakra, B. C. Vibration and Damping Characteristics of Multilayered Beams with Constrained Viscoelastic Layers. J of Eng for Industry ASME B, 1976, 98-3, 899–901.Google Scholar
4. Rao, Y. V. K. S. and Nakra, .B. C. Theory of Vibratory bending of unsymmetric sandwich plates. Archives of Mechanics. 1979, 25, 213–215.Google Scholar
5. Mead, D. J. and Markus, S. Loss Factor and Resonant frequency of encastre damped sandwich beam. J Sound and Vib, 1970,12,99–112.Google Scholar
6. Sewall, J. L. Vibration analysis of cylindrically curved panels with simply supported and damped edges and comparison with experiments. NASA report TNP 39711967.Google Scholar
7. Webster, J. J. Free Vibrations of rectangular curved panels. Int, J of Mech Sciences, 1968,10,571–582.Google Scholar
8. Petyt, M. and Debnath, J. B. Vibration of curved plate. J of Sound and Vib, 1970,13,485–497.Google Scholar
9. Mead, D. J. and Pretlove, A. J. On the Vibrations of Curved Sandwich Plate. Aeronautical Research Council, London, Report R & M 3363,1964.Google Scholar
10. Ahmed, K. M. Vibration analysis of doubly curved honey comb sandwich plate by the Finite Element Method. ISVR Technical Report No 37,1970.Google Scholar
11. Tatemichi, A., Okazi, A. and Hikiyama, M. Damping properties of curved sandwich beams with viscoelastic layer. Nagaya Inst of Tech, 1977,29,309–317.Google Scholar
12. Vaswani, J. Vibration and Damping Analysis of Curved Sandwich Structures with Viscoelastic Cores, PhD Thesis, Mech Eng Dept, IIT Delhi, 1983.Google Scholar
13. Flugge, W. Stresses in Shells. Springer Verlag Publication, 1962.Google Scholar
14. Ahmed, K. M. Free Vibrations of Curved Sandwich Beams by Finite Element Method. J of Sound Vib, 1971,18,61–74.Google Scholar