On the optimization of composite laminated plates
- 1 May 1995
- journal article
- research article
- Published by Emerald Publishing in Engineering Computations
- Vol. 12 (5) , 403-414
- https://doi.org/10.1108/02644409510799712
Abstract
This paper deals with the optimum design of composite laminated plates. Both ply orientation angles and ply thicknesses of the composite plate are used as design variables. The optimum design process is divided into two sublevels. In the first sublevel, the strain energy of the plate is minimized by changing the ply orientation angles while the ply thickness distributions remain unmodified. In the second sublevel, with the angle values obtained in the first sublevel, the optimum thickness distribution of each ply is obtained by minimizing the structural weight while satisfying stiffness and gauge constraints. The final optimum design is achieved by iterating between these two sublevels. The stiffness analysis is performed by the finite element method in which a triangular element is used that is suitable for from thin to thick plates and includes the transverse shear effects. All the derivative analysis is performed analytically. The mathematical programming method called Constrained Variable Metric is used to solve the optimum problem. An example is provided for a rectangular laminated plate with good results to show the effectiveness of the method.Keywords
This publication has 10 references indexed in Scilit:
- Optimal design of laminated composite plates with dynamic and static considerationsComputers & Structures, 1989
- Composite plate analysis using a new discrete shear triangular finite elementInternational Journal for Numerical Methods in Engineering, 1989
- A discrete shear triangular nine D.O.F. element for the analysis of thick to very thin platesInternational Journal for Numerical Methods in Engineering, 1989
- A multicriteria objective function optimization scheme for laminated composites for use in multilevel structural optimization schemesComputer Methods in Applied Mechanics and Engineering, 1987
- Design of Laminated Plates for Maximum StiffnessJournal of Composite Materials, 1984
- An Optimal Design of Simple Symmetric Laminates Under the First Ply Failure CriterionJournal of Composite Materials, 1982
- Optimum Design of Laminated Plates Under ShearJournal of Composite Materials, 1979
- Optimum Design of Laminated Plates under Axial CompressionAIAA Journal, 1979
- Dual Variable Metric Algorithms for Constrained OptimizationSIAM Journal on Control and Optimization, 1977
- Optimization of fiber reinforced composite structuresInternational Journal of Solids and Structures, 1973