Author(s):
1. Aleksandar Radaković, State University of Novi Pazar, Serbia
2. Dragan Milosavljevic, Faculty of Engineering, University of Kragujevac, Sestre Janjić 6, 34000 Kragujevac, Srbija 2IMW Ins, Serbia
3. Gordana Bogdanovic, Faculty of Engineering, University of Kragujevac, Sestre Janjić 6, 34000 Kragujevac, Srbija 2IMW Ins, Serbia
4. Dragan Čukanović, Faculty of Technical Sciences, University of Priština, Serbia
5. Vladimir Geroski, Faculty of Engineering, University of Kragujevac, Sestre Janjić 6, 34000 Kragujevac, Srbija 2IMW Ins, Serbia

Abstract:
The paper analyses the free vibrations problem of simply supported laminate plates. The problem is being considered applying third-order shear deformation theory. Navier’s forms of solutions of partial differential equations have been used for obtaining results. Theoretical assumptions for using this theory are given, as well as the process of obtaining matrices which are created as a result of stacking layers in a laminate. The paper considers cross-ply laminates with angles of layers orientation of 0 or 90 in relation to the x axis of the adopted coordinate system. The results for symmetric and anti-symmetric laminate plates are given in tabular and diagram form. The influence of geometric characteristics of the plate as well as the influence of the material elasticity module are presented. The solutions have been obtained in the software package Matlab using symbolic and numerical programming. The results have been verified by the results presented in the papers based on high-order shear deformation theories.

Key words:
free vibrations,third order deformation theory,composite laminates,analytic solutions,Navier’s solutions

Thematic field:
Mechanics and Design

Date of abstract submission:
27.02.2017.

Conference:
13th International Conference on Accomplishments in Mechanical and Industrial Engineering