Free Vibration Analysis of Laminated Composite plates with General Elastic Boundary Supports

  • Wedad Majed Ibrahim, Ass. Prof. Dr. College of Engineering-University of Baghdad
  • Rafat Assad Ghani, MSc student College of Engineering-University of Baghdad
Keywords: free vibration, Rayleigh–Ritz method, general boundary condition, composite laminated plate

Abstract

In this investigation, Rayleigh–Ritz method is used to calculate the natural frequencies of rectangular isotropic and laminated symmetric and anti-symmetric cross and angle ply composite plate with general elastic supports along its edges. Each of the admissible functions here is composed of a trigonometric function and an arbitrary continuous function that is introduced to ensure the sufficient smoothness of the so-called residual displacement function at the edges. Perhaps more importantly, this study has developed a general approach for deriving a complete set of admissible functions that can be applied to various boundary conditions. Several numerical examples are studied to demonstrate the accuracy and convergence of the current solution with considering some design parameters such as boundary conditions, aspect ratio, lamination angle, thickness ratio, orthotropy ratio, also these results are compared with other researchers and give a good agreement .
 
 

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Published
2017-03-31
How to Cite
Ibrahim, W. and Ghani, R. (2017) “Free Vibration Analysis of Laminated Composite plates with General Elastic Boundary Supports”, Journal of Engineering, 23(4), pp. 100-124. Available at: http://joe.uobaghdad.edu.iq/index.php/main/article/view/54 (Accessed: 19September2020).