Optimum design of laminated composite plates containing a quasi-square cutout

In this paper, an attempt has been made to calculate the optimal values of effective parameters on the stress distribution around a quasi-square cutout using different optimization algorithms such as Particle Swarm Optimization (PSO), Genetic Algorithm (GA) and Ant Colony Optimization (ACO). To achi...

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Bibliographic Details
Published in:Structural and multidisciplinary optimization 2017, Vol.55 (1), p.141-154
Main Authors: Moussavian, Hassan, Jafari, Mohammad
Format: Article
Language:English
Subjects:
Ant colony optimization
Complex variables
Composite structures
Computational Mathematics and Numerical Analysis
Conformal mapping
Cost function
Engineering
Engineering Design
Exact solutions
Genetic algorithms
Laminar composites
Laminates
Mathematical analysis
Optimization algorithms
Parameters
Particle swarm optimization
Plates (structural members)
Research Paper
Stacking sequence (composite materials)
Stress analysis
Stress concentration
Stress distribution
Theoretical and Applied Mechanics
Two dimensional analysis
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Summary:In this paper, an attempt has been made to calculate the optimal values of effective parameters on the stress distribution around a quasi-square cutout using different optimization algorithms such as Particle Swarm Optimization (PSO), Genetic Algorithm (GA) and Ant Colony Optimization (ACO). To achieve this goal, the analytical results of symmetric laminated composite plates containing a square cutout have been used. The analytical solution can be achieved with the development of the Lekhnitskii solution method. This method is based on using complex variable method in the analysis of two-dimensional problems. In order to use the method in stress analysis of laminates containing a square cutout, by using conformal mapping, the area outside the square cutout is mapped to the area outside of a unit circle. Effective parameters on stress distribution around the square cutout in symmetric laminated plates considered as design variables include: load angle, cutout orientation, bluntness and the stacking sequence of the laminate. Cost function in this problem is the maximum stress created around the cutout calculated by the analytical solution method. Another goal of this paper is to investigate the performance of aforementioned optimization algorithms. The results show that the PSO algorithm converges earlier than the other two methods and have the better cost function.
ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-016-1481-7