Abstract
A general approach is presented to study the free vibrations of rectangular symmetrically laminated composite plates with point supports by using the Rayleigh-Ritz method and the Lagrange multiplier technique for enforcing the zero displacement constraints at the support locations. Polynomial approximation functions are used, and the constitutive relationships are written in terms of four lamination parameters. With these lamination parameters, the number of design variables is reduced to a minimum, which is useful for design optimization purposes, while all symmetric lay-ups are considered. This paper illustrates how the lamination parameters can be used for optimal design of vibrating plates. Results are presented for several cases and the effect of aspect ratio; material properties and lay-up are fully investigated. Plates on point supports and with straight and curved internal line supports are considered. For each case, the lay-up that maximizes the first natural frequency of the plate is determined. © 1995.
Recommended Citation
S. Abrate, "Vibration of Point-Supported Rectangular Composite Plates," Composites Science and Technology, vol. 53, no. 3, pp. 325 - 332, Elsevier, Jan 1995.
The definitive version is available at https://doi.org/10.1016/0266-3538(95)00004-6
Department(s)
Mechanical and Aerospace Engineering
Keywords and Phrases
lamination parameters; optimum design; plates; point supports; vibration
International Standard Serial Number (ISSN)
0266-3538
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Elsevier, All rights reserved.
Publication Date
01 Jan 1995
