Sage Journals: Discover world-class research

Abstract

Due to the large variable design space in optimization problems of composite laminates, it remains one of the challenging tasks to develop efficient optimization design methods to improve the design flexibility and efficiency. This work presents a sequential permutation table (SPT) method for the multiobjective optimization design of two-material hybrid composite laminates with simply supported boundary conditions, which maximizes the fundamental frequency and minimizes the cost/weight. Based on the vibration analysis of hybrid composite laminates, the approximate linear regularity of the square of fundamental frequency is derived, and two best ply orientations for the two materials are identified, respectively. By assigning one best ply orientation with maximum fundamental frequency at respective stacking positions, and using another best ply orientation to replace plies in the stacking sequence from the mid-plane to the outermost can lead to the optimum. Two multiobjective optimization problems are employed to verify the SPT method, results are compared with those obtained by heuristic algorithms. The obtained better solutions demonstrate the effectiveness and efficiency of the SPT method and its potentials for optimal design of hybrid composite laminates.

Keywords

Sequential permutation table hybrid composite laminates vibration stacking sequence multiobjective optimization

Get full access to this article

View all access options for this article.

References

Reddy

. Mechanics of Laminated Composite Plates and Shells. 2nd ed. Boca Raton, FL: CRC Press, 2004.

Leissa

. The free vibration of rectangular plates. J Sound Vib 1973; 31: 257–293.

Leissa

Narita

. Vibration studies for simply supported symmetrically laminated rectangular plates. Compos Struct 1989; 12: 113–132.

Qatu

. Free vibration of laminated composite rectangular plates. Int J Sol Struct 1991; 28: 941–954.

Dickinson

Di Blasio

. On the use of orthogonal polynomials in the Rayleigh-Ritz method for the study of the flexural vibration and buckling of isotropic and orthotropic rectangular plates. J Sound Vib 1986; 108: 51–62.

Cupiał

. Calculation of the natural frequencies of composite plates by the Rayleigh-ritz method with orthogonal polynominals. J Sound Vib 1997; 201: 385–387.

Liu

Chen

. Exact solutions for free-vibration analysis of rectangular plates using bessel functions. J Appl Mech 2007; 74: 1247–1251.

Zhu

Wang

. Free vibration analysis of thin isotropic and anisotropic rectangular plates by the discrete singular convolution algorithm. Int J Numer Methods Eng 2011; 86: 782–800.

Civalek

. Vibration analysis of conical panels using the method of discrete singular convolution. Commun Numer Meth En 2008; 24: 169–181.

10.

Civalek

. Linear vibration analysis of isotropic conical shells by discrete singular convolution (DSC). Struct Eng Mech 2007; 25: 127–130.

11.

Akgoz

Civalek

. Nonlinear vibration analysis of laminated plates resting on nonlinear two-parameters elastic foundations. Steel Compos Struct 2011; 11: 403–421.

12.

Nasihatgozar

Khalili

. Vibration and buckling analysis of laminated sandwich conical shells using higher order shear deformation theory and differential quadrature method. J Sandwich Struct Mater 2019; 21(4): 1445–1480.

13.

Xing

Liu

. Analysis of isotropic and composite laminated plates and shells using a differential quadrature hierarchical finite element method. Compos Struct 2018; 205: 11–25.

14.

Meunier

Shenoi

. Free vibration analysis of composite sandwich plates. Proc Inst Mech Eng C: J Mech Eng Sci 1999; 213: 715–727.

15.

Bert

. Optimal design of a composite-material plate to maximize its fundamental frequency. J Sound Vib 1977; 50: 229–237.

16.

Joachim

. Grenestedt. Layup optimization and sensitivity analysis of the fundamental eigenfrequency of composite plates. Compos Struct 1989; 12: 193–209.

17.

Sadr

Ghashochi Bargh

. Optimization of laminated composite plates for maximum fundamental frequency using Elitist-Genetic algorithm and finite strip method. J Glob Optim 2012; 54: 707–728.

18.

Sharma

Lalepalli

Hirwani

, et al. Optimal deflection and stacking sequence prediction of curved composite structure using hybrid (FEM and soft computing) technique. Eng Comput 2021; 37(1): 477–487.

19.

Kalita

Dey

Haldar

, et al. Optimizing frequencies of skew composite laminates with metaheuristic algorithms. Eng Comput 2020; 36: 741–761.

20.

Kalita

Ghadai

Chakraborty

. A comparative study on the metaheuristic-based optimization of skew composite laminates. Eng Comput 2021; 24: 1–8.

21.

Kayikci

Sonmez

. Design of composite laminates for optimum frequency response. J Sound Vib 2012; 331: 1759–1776.

22.

Valvano

Orlando

Alaimo

. Design of a noise reduction passive control system based on viscoelastic multilayered plate using PDSO. Mech Syst Signal Process 2019; 123: 153–173.

23.

Adali

Verijenko

. Optimum stacking sequence design of symmetric hybrid laminates undergoing free vibrations. Compos Struct 2001; 54: 131–138.

24.

Grosset

Venkataraman

Haftka

. Genetic optimization of two-material composite laminates. In 16th ASC Technical Meeting, Blacksburg, Virginia, 2001.

25.

Abachizadeh

Tahani

. An ant colony optimization approach to multi-objective optimal design of symmetric hybrid laminates for maximum fundamental frequency and minimum cost. Struct Multidiscipl Optim 2009; 37: 367–376.

26.

Tahani

Kolahan

Sarhadi

. Optimal design of sandwich composite laminates for minimum cost and maximum frequency using simulated annealing. In: Sadeghi (ed). Proceedings of Tehran international conference on manufacturing engineering. Tehran, Iran: TICME, 2005.

27.

Tahani

Kolahan

Sarhadi

. Generic algorithm for multi-objective optimal design of sandwich composite laminates with minimum cost and maximum frequency. Icmpm, International Conference on Advances in Materials, Product Design and Manufacturing Systems. India: SathyamangalamICMPM-, 2005, pp. 741–748.

28.

Hemmatian

Fereidoon

Sadollah

, et al. Optimization of laminate stacking sequence for minimizing weight and cost using elitist ant system optimization. Adv Eng Softw 2013; 57: 8–18.

29.

Hemmatian

Fereidoon

Assareh

. Optimization of hybrid laminated composites using the multi-objective gravitational search algorithm (MOGSA). Eng Optim 2014; 46: 1169–1182.

30.

Koide

França

GvZd

Luersen

. An ant colony algorithm applied to lay-up optimization of laminated composite plates. Latin Am J Sol Struct 2013; 10: 491–504.

31.

Karakaya

Soykasap

. Natural frequency and buckling optimization of laminated hybrid composite plates using genetic algorithm and simulated annealing. Struct Multidiscipl Optim 2011; 43: 61–72.

32.

Abachizadeh

Tahani

. Ant colony optimization of hybrid laminates for minimum cost and weight. In: Saravanos

(ed). Proceedings of 6th international symposium on advanced composites COMP’07. Greece: Corfu, 2007.

33.

Hemmatian

Fereidoon

Shirdel

. Optimization of hybrid composite laminate based on the frequency using imperialist competitive algorithm. Mech Adv Compos Struct 2014; 1: 37–48.

34.

Sanz-Corretge

Echeverría

. A novel technique for the design of hybrid composite laminates based on dynamic programming and dynamic tree trimming. Struct Multidiscipl Optim 2017; 4: 1–15.

35.

Jing

Fan

Sun

. Stacking sequence optimization of composite laminates for maximum buckling load using permutation search algorithm. Compos Struct 2015; 121: 225–236.

36.

Bloomfield

Diaconu

Weaver

. On feasible regions of lamination parameters for lay-up optimization of laminated composites. Proc Roy Soc A Math Phys Eng Sci 2009; 465: 1123–1143.

37.

Gubarev

Kunin

Pospelov

. Lay-up optimization of laminated composites: mixed approach with exact feasibility bounds on lamination. Eprint Arxiv:1304.7226 [cs.CE]. 2013.

38.

Jing

Sun

Silberschmidt

. Sequential permutation table method for optimization of stacking sequence in composite laminates. Compos Struct 2016; 141: 240–252.

39.

Michael

. Importance of anisotropy on buckling of compression-loaded symmetric composite plates. AIAA J 1986; 24: 1831–1835.

40.

Tsai

Hahn

. Introduction to Composite Materials. Connecticut: Wesport Technomic Publishing Company, 1980.

41.

Jing

Sun

Zhang

, et al. Stacking sequence optimization of composite cylindrical panels by sequential permutation search and Rayleigh-Ritz method. Eur J Mech - A/Solids 2021; 88: 104262.

42.

Jing

Sun

Zhang

, et al. Stacking sequence optimization of doubly-curved laminated composite shallow shells for maximum fundamental frequency by sequential permutation search algorithm. Comput Struct 2021; 252: 106560.

Supplementary Material

Please find the following supplemental material available below.

For Open Access articles published under a Creative Commons License, all supplemental material carries the same license as the article it is associated with.

For non-Open Access articles published, all supplemental material carries a non-exclusive license, and permission requests for re-use of supplemental material or any part of supplemental material shall be sent directly to the copyright owner as specified in the copyright notice associated with the article.

0.00 MB

0.01 MB

Multiobjective optimization design of hybrid composite laminates for vibration using sequential permutation table method

Abstract

Keywords

Get full access to this article

References

Supplementary Material