Free Flexural Vibrations of Orthotropic Composite Base Plates or Panels With a Bonded Noncentral (or Eccentric) Stiffening Plate Strip

Author:

Yuceoglu U.1,O¨zerciyes V.1

Affiliation:

1. Department of Aeronautical Engineering, Middle East Technical University, Ankara 06531, Turkey

Abstract

The problem of the free flexural (or bending) vibrations of a rectangular, composite base plate or panel stiffened by a bonded, noncentral stiffening plate strip is considered. The lower composite base plate and the upper stiffening plate strip are assumed as dissimilar Mindlin Plates connected by a very thin and deformable adhesive layer. In the formulation, the entire composite system is considered to have simply supported edges in one direction while the other two edges may have arbitrary boundary conditions. The set of governing partial differential equations is reduced to a “special form” of a system of the first order ordinary differential equations. Then, they are integrated by the “Modified Transfer Matrix Method (with Interpolation Polynomials).” The mode shapes and the natural frequencies of the composite system are investigated and presented in detail for several boundary conditions. It was also found that the “hardness” and the “softness” of the in-between adhesive layer have significant effects on the mode shapes and the natural frequencies.

Publisher

ASME International

Subject

General Engineering

Reference41 articles.

1. Hoskins, B. C., and Baker, A. A., 1986, Composite Materials for Aircraft Structures, AIAA Educational Series, New York.

2. Marshall, I. H., and Demuts, E., (Editors), 1988, Supportability of Airframes and Structures, Elsevier Applied Science Publishers, New York.

3. Clarkson, B. L., and Mead, D. J., 1973, “High Frequency Vibration of Aircraft Structures,” J. Sound Vib., 28(3), pp. 487–504.

4. Kirk, C. L. , 1970, “Natural Frequencies of Stiffened Rectangular Plates,” J. Sound Vib., 13, pp. 259–277.

5. Aksu, G., and Ali, R., 1976, “Free Vibration Analysis of Stiffened Plates using Finite Difference Method,” J. Sound Vib., 48(1), pp. 15–25.

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