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 Civil-Comp Conferences 
ISSN 2753-3239 CCC: 5 
PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON SOFT COMPUTING, MACHINE LEARNING AND OPTIMISATION IN CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING Edited by: P. Iványi,  J. Logo and B.H.V. Topping 
Paper 2.3 
Multi-objective Optimisation of Dynamic Properties and Cost of a Composite Shell B. Miller and L. Ziemianski 
Rzeszow University of Technology, Poland Full Bibliographic Reference for this paper 
B. Miller, L. Ziemianski, "Multi-objective Optimisation
of Dynamic Properties and Cost
of a Composite Shell", in P. Iványi,  J. Logo, B.H.V. Topping, (Editors), "Proceedings of the Sixth International Conference on
Soft Computing, Machine Learning and Optimisation in
Civil, Structural and Environmental Engineering", Civil-Comp Press, Edinburgh, UK,
                Online volume: CCC 5, Paper 2.3,  2023, doi:10.4203/ccc.5.2.3 
Keywords: multi-objective optimisation, surrogate models, deep neural networks,
genetic algorithms, mode shapes identification. 
Abstract 
This paper presents multi-objective optimisation of a laminated cylinder’s dynamic
behaviour and cost through stacking sequence, geometry, and appropriate materials
choice. The optimized dynamic parameters are the width of a band in the frequency
spectrum free of natural frequencies and the cost of applied materials. The multiobjective
procedure involves mode shape identification, genetic algorithm-based optimisation,
and deep neural networks-based surrogate model. The novel elements
proposed are a detailed analysis of the number of initial finite element method calls
necessary to train the neural network-based surrogate model, a study concerning different
surrogate model schemes (one network or a network ensemble), error function
applied during surrogate model training, and the application of high-fidelity (and time consuming)
or low-fidelity (but very fast) finite element models.
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