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MULTIOBJECTIVE OPTIMIZATION OF COMPOSITE STRUCTURES WITH PARAMETRIC UNCERTAINTIES FOR ROBUST DESIGN

MULTIOBJECTIVE OPTIMIZATION OF COMPOSITE STRUCTURES WITH PARAMETRIC UNCERTAINTIES FOR ROBUST DESIGN

SOBRENOME, Nome;

Artigo Completo:

In the context of new developments in mechanical engineering, composite materials have been used in a large number of structures such as airplanes, compressors systems, automobiles, communalizations satellites, robotics, etc, due to their great flexibility in obtaining a great performance as a result of the combination of a number of parameters such number of layers with their thicknesses and the fiber orientations. However, in a design phase of a real-word composite structure of industrial interest, the question is how the arrangements of these parameters may affect the performance of such structures? Moreover, in the quest of design, another aspect that must be pointed out is the use of a robust optimization strategy in order to generate the best solutions with a reasonable robustness quantity. In this paper, the interest is confined to the finite element modeling procedure of composite structures by using the well-kwon higher-order shear deformation theory (HSDT). Emphasis is placed on a parameterization procedure in order to facilitate the introduction of the parametric uncertainties on the design parameters factored-out of the elementary matrices of the system. Furthermore, with the aim of generating optimal and robust design, the strategy used herein is to introduce vulnerability functions to be optimized as the same time as the original cost functions by using a multi-objective optimization procedure based on the Pareto construction. The probability distribution function for the uncertainty variables such as the thickness of the layers and the fiber orientations, was assumed based on the Maximum Entropy Principle, and the results in terms of the envelopes of the frequency response functions have been obtained and the robustness of the robust-optimal point has been verified a posteriori.

Artigo Completo:

In the context of new developments in mechanical engineering, composite materials have been used in a large number of structures such as airplanes, compressors systems, automobiles, communalizations satellites, robotics, etc, due to their great flexibility in obtaining a great performance as a result of the combination of a number of parameters such number of layers with their thicknesses and the fiber orientations. However, in a design phase of a real-word composite structure of industrial interest, the question is how the arrangements of these parameters may affect the performance of such structures? Moreover, in the quest of design, another aspect that must be pointed out is the use of a robust optimization strategy in order to generate the best solutions with a reasonable robustness quantity. In this paper, the interest is confined to the finite element modeling procedure of composite structures by using the well-kwon higher-order shear deformation theory (HSDT). Emphasis is placed on a parameterization procedure in order to facilitate the introduction of the parametric uncertainties on the design parameters factored-out of the elementary matrices of the system. Furthermore, with the aim of generating optimal and robust design, the strategy used herein is to introduce vulnerability functions to be optimized as the same time as the original cost functions by using a multi-objective optimization procedure based on the Pareto construction. The probability distribution function for the uncertainty variables such as the thickness of the layers and the fiber orientations, was assumed based on the Maximum Entropy Principle, and the results in terms of the envelopes of the frequency response functions have been obtained and the robustness of the robust-optimal point has been verified a posteriori.

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Palavras-chave: Composite materials, robust optimization, vulnerability function, uncertainties.,

Palavras-chave: ,

DOI: 10.5151/mathpro-cnmai-0046

Referências bibliográficas
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  • [4] Master Thesis (Mechanical Engineering)- Technological Institute of Aeronautics, São José dos Campos, SP, Brazil.
  • [5] Faria, A. W., 2006. Modelagem por elementos finitos de placas compostas dotadas de sensores e atuadores piezoelétricos: implementação computacional e avaliação numérica. 152p. Master Thesis (Mechanical Engineering). Faculty of Mechanical Engineering, Federal University of Uberlândia, MG, Brazil.
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  • [7] Irisarri, F. X., 2009. Statégies de calcul pour L’optimisation multiobjectif des structures composites. 274p. Ph.D. thesis, Universite de Toulouse III – Paul Sabatier, Toulouse, France.
  • [8] Levy Neto, F.; Pardini, L. C., 2006. Compósitos Estruturais: Ciência e Tecnologia. Edgar Blücher, São Paulo. 1 nd edition.
  • [9] Lima, A. M. G.; Faria, A. W.; Rade, D. A., 2010. Sensitivity analysis of response functions of composite sandwich plates containing viscoelastic layers. Journal of Composite Structures. v. 92, n. 364-376.
  • [10] Lo KH, Christensen RM, Wu EM., 1997. “A high order theory of plate deformation – part 2: laminated plates”. J Appl Mech; 64(3):669–76.
  • [11] Reddy, J. N., 1997. Mechanics of Laminated Composite Plates: Theory and Analysis. CRC Press, Florida. 2 nd edition.
  • [12] Souza, C. E., 2003. Otimização em Dois Níveis da Orientação e da Topologia de Cascas Laminadas. 117p. Master Thesis - Federal University of Rio Grande do Sul, Porto Alegre, RS, Brazil.
Como citar:

SOBRENOME, Nome; "MULTIOBJECTIVE OPTIMIZATION OF COMPOSITE STRUCTURES WITH PARAMETRIC UNCERTAINTIES FOR ROBUST DESIGN", p. 251-260 . In: Anais do Congresso Nacional de Matemática Aplicada à Indústria [= Blucher Mathematical Proceedings, v.1, n.1]. São Paulo: Blucher, 2015.
ISSN em b-reve, DOI 10.5151/mathpro-cnmai-0046

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