Skip to main content
main-content

Tipp

Weitere Artikel dieser Ausgabe durch Wischen aufrufen

Erschienen in: Structural and Multidisciplinary Optimization 4/2018

21.02.2018 | RESEARCH PAPER

Multi-objective optimization of a composite stiffened panel for hybrid design of stiffener layout and laminate stacking sequence

verfasst von: Haichao An, Shenyan Chen, Hai Huang

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 4/2018

Einloggen, um Zugang zu erhalten
share
TEILEN

Abstract

This paper presents a two-level approximation method for multi-objective optimization of a composite stiffened panel. The purpose is to seek the minimum structural mass and maximum fundamental frequency subject to given displacement constraints and manufacturing limitations. The design variables are the stiffener layout, and laminate stacking sequences for stiffeners and the panel skin. By introducing the concept of ground structure in both stiffener layout and laminate stacking sequence, the design problem is formulated with mixed discrete and continuous variables. Two types of discrete variables represent the existence of each stiffener and the existence of each ply in the laminate, respectively, with continuous ones for ply thicknesses. Considering the objectives are of different dimensions, a weighted min-max objective function is defined and minimized. The problem is firstly made explicit with branched multipoint approximate functions. Genetic algorithm (GA) is then adopted to optimize two types of discrete variables, determining which stiffeners/layers are deleted or retained. For fitness calculation in GA, a second-level approximation is built to optimize continuous ply thicknesses of the necessary layers that are retained. By giving different initial designs of stiffener layout and laminate stacking sequences, reasonable optimization results, which are tradeoffs between the considered two objectives, are obtained as design options. From the number of required structural analysis, it shows that the proposed method has a good efficiency in seeking rational solutions, which are tradeoffs between conflicting objectives and also feasible designs satisfying all considered constraints.
Literatur
Zurück zum Zitat Abachizadeh M, Tahani M (2009) An ant colony optimization approach to multi-objective optimal design of symmetric hybrid laminates for maximum fundamental frequency and minimum cost. Struct Multidiscip Optim 37(4):367–376 CrossRef Abachizadeh M, Tahani M (2009) An ant colony optimization approach to multi-objective optimal design of symmetric hybrid laminates for maximum fundamental frequency and minimum cost. Struct Multidiscip Optim 37(4):367–376 CrossRef
Zurück zum Zitat Alinia MM (2005) A study into optimization of stiffeners in plates subjected to shear loading. Thin-Walled Struct 43(5):845–860 CrossRef Alinia MM (2005) A study into optimization of stiffeners in plates subjected to shear loading. Thin-Walled Struct 43(5):845–860 CrossRef
Zurück zum Zitat An H, Huang H (2017) Topology and sizing optimization for frame structures with a two-level approximation method. AIAA J 55(3):1044–1057 CrossRef An H, Huang H (2017) Topology and sizing optimization for frame structures with a two-level approximation method. AIAA J 55(3):1044–1057 CrossRef
Zurück zum Zitat An H, Chen S, Huang H (2015a) Laminate stacking sequence optimization with strength constraints using two-level approximations and adaptive genetic algorithm. Struct Multidiscip Optim 51(4):903–918 CrossRef An H, Chen S, Huang H (2015a) Laminate stacking sequence optimization with strength constraints using two-level approximations and adaptive genetic algorithm. Struct Multidiscip Optim 51(4):903–918 CrossRef
Zurück zum Zitat An H, Chen S, Huang H (2015b) Improved genetic algorithm with two-level approximation method for laminate stacking sequence optimization by considering engineering requirements. Math Probl Eng 2015:1–13 MathSciNetCrossRef An H, Chen S, Huang H (2015b) Improved genetic algorithm with two-level approximation method for laminate stacking sequence optimization by considering engineering requirements. Math Probl Eng 2015:1–13 MathSciNetCrossRef
Zurück zum Zitat An H, Xian K, Huang H (2016a) Actuator placement optimization for adaptive trusses using a two-level multipoint approximation method. Struct Multidiscip Optim 53(1):29–48 MathSciNetCrossRef An H, Xian K, Huang H (2016a) Actuator placement optimization for adaptive trusses using a two-level multipoint approximation method. Struct Multidiscip Optim 53(1):29–48 MathSciNetCrossRef
Zurück zum Zitat An H, Chen S, Huang H (2016b) Optimal design of composite sandwich structures by considering multiple structure cases. Compos Struct 152:676–686 CrossRef An H, Chen S, Huang H (2016b) Optimal design of composite sandwich structures by considering multiple structure cases. Compos Struct 152:676–686 CrossRef
Zurück zum Zitat Arora JS (2004) Introduction to optimum design. Elsevier, San Diego Arora JS (2004) Introduction to optimum design. Elsevier, San Diego
Zurück zum Zitat Bedair OK (1997) Influence of stiffener location on the stability of stiffened plates under compression and in-plane bending. Int J Mech Sci 39(1):33–49 CrossRefMATH Bedair OK (1997) Influence of stiffener location on the stability of stiffened plates under compression and in-plane bending. Int J Mech Sci 39(1):33–49 CrossRefMATH
Zurück zum Zitat Chen S, Huang H (2010) Optimum design of a space frame and its application in satellite structure. J Spacecr Rocket 47(6):1063–1066 CrossRef Chen S, Huang H (2010) Optimum design of a space frame and its application in satellite structure. J Spacecr Rocket 47(6):1063–1066 CrossRef
Zurück zum Zitat Chen S, Lin Z, An H, Huang H, Kong C (2013) Stacking sequence optimization with genetic algorithm using a two-level approximation. Struct Multidiscip Optim 48(4):795–805 MathSciNetCrossRef Chen S, Lin Z, An H, Huang H, Kong C (2013) Stacking sequence optimization with genetic algorithm using a two-level approximation. Struct Multidiscip Optim 48(4):795–805 MathSciNetCrossRef
Zurück zum Zitat Faggiani A, Falzon BG (2007) Optimization strategy for minimizing damage in postbuckling stiffened panels. AIAA J 45(10):2520–2528 CrossRef Faggiani A, Falzon BG (2007) Optimization strategy for minimizing damage in postbuckling stiffened panels. AIAA J 45(10):2520–2528 CrossRef
Zurück zum Zitat Fleury C, Braibant V (1986) Structural optimization: a new dual method using mixed variables. Int J Numer Methods Eng 23(3):409–428 MathSciNetCrossRefMATH Fleury C, Braibant V (1986) Structural optimization: a new dual method using mixed variables. Int J Numer Methods Eng 23(3):409–428 MathSciNetCrossRefMATH
Zurück zum Zitat Ghiasi H, Pasini D, Lessard L (2009) Optimum stacking sequence design of composite materials Part I: constant stiffness design. Compos Struct 90(1):1–11 CrossRef Ghiasi H, Pasini D, Lessard L (2009) Optimum stacking sequence design of composite materials Part I: constant stiffness design. Compos Struct 90(1):1–11 CrossRef
Zurück zum Zitat Herencia JE, Weaver PM, Friswell MI (2007) Optimization of long anisotropic laminated fiber composite panels with T-shaped stiffeners. AIAA J 45(10):2497–2509 CrossRef Herencia JE, Weaver PM, Friswell MI (2007) Optimization of long anisotropic laminated fiber composite panels with T-shaped stiffeners. AIAA J 45(10):2497–2509 CrossRef
Zurück zum Zitat Huang H, Xia RW (1995) Two-level multipoint constraint approximation concept for structural optimization. Struct Optim 9(1):38–45 CrossRef Huang H, Xia RW (1995) Two-level multipoint constraint approximation concept for structural optimization. Struct Optim 9(1):38–45 CrossRef
Zurück zum Zitat Huang H, Ke W, Xia RW (1998) Numerical accuracy of the multi-point approximation and its application in structural synthesis. In: 7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, St. Louis, MO, USA, September 02 – 04, 1998 Huang H, Ke W, Xia RW (1998) Numerical accuracy of the multi-point approximation and its application in structural synthesis. In: 7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, St. Louis, MO, USA, September 02 – 04, 1998
Zurück zum Zitat Huang H, Wang Y, Lian H (2003) Comparisons of several multi-point approximation methods used in structural topology optimization. In: The Chinese conference on computational mechanics ‘2003, Beijing, China, October 1, 2003 Huang H, Wang Y, Lian H (2003) Comparisons of several multi-point approximation methods used in structural topology optimization. In: The Chinese conference on computational mechanics ‘2003, Beijing, China, October 1, 2003
Zurück zum Zitat Kang JH, Kim CG (2005) Minimum-weight design of compressively loaded composite plates and stiffened panels for postbuckling strength by genetic algorithm. Compos Struct 69(2):239–246 CrossRef Kang JH, Kim CG (2005) Minimum-weight design of compressively loaded composite plates and stiffened panels for postbuckling strength by genetic algorithm. Compos Struct 69(2):239–246 CrossRef
Zurück zum Zitat Lanzi L, Giavotto V (2006) Post-buckling optimization of composite stiffened panels: computations and experiments. Compos Struct 73(2):208–220 CrossRef Lanzi L, Giavotto V (2006) Post-buckling optimization of composite stiffened panels: computations and experiments. Compos Struct 73(2):208–220 CrossRef
Zurück zum Zitat Le Riche R, Haftka RT (1995) Improved genetic algorithm for minimum thickness composite laminate design. Compos Eng 5(2):143–161 CrossRef Le Riche R, Haftka RT (1995) Improved genetic algorithm for minimum thickness composite laminate design. Compos Eng 5(2):143–161 CrossRef
Zurück zum Zitat Liu B, Haftka RT, Akgun MA, Todoroki A (2000) Permutation genetic algorithm for stacking sequence design of composite laminates. Comput Methods Appl Mech Eng 186(2-4):357–372 MathSciNetCrossRefMATH Liu B, Haftka RT, Akgun MA, Todoroki A (2000) Permutation genetic algorithm for stacking sequence design of composite laminates. Comput Methods Appl Mech Eng 186(2-4):357–372 MathSciNetCrossRefMATH
Zurück zum Zitat Nagendra S, Haftka RT, Gurdal Z (1993) Design of a blade stiffened composite panel by a genetic algorithm. AIAA Paper 93-1584. In: 34th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference, La Jolla, CA. p 2418–36 Nagendra S, Haftka RT, Gurdal Z (1993) Design of a blade stiffened composite panel by a genetic algorithm. AIAA Paper 93-1584. In: 34th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference, La Jolla, CA. p 2418–36
Zurück zum Zitat Nagendra S, Jestin D, Gürdal Z, Haftka RT, Watson LT (1996) Improved genetic algorithm for the design of stiffened composite panels. Comput Struct 58(3):543–555 CrossRefMATH Nagendra S, Jestin D, Gürdal Z, Haftka RT, Watson LT (1996) Improved genetic algorithm for the design of stiffened composite panels. Comput Struct 58(3):543–555 CrossRefMATH
Zurück zum Zitat Rikards R, Abramovich H, Kalnins K, Auzins J (2006) Surrogate modeling in design optimization of stiffened composite shells. Compos Struct 73(2):244–251 CrossRef Rikards R, Abramovich H, Kalnins K, Auzins J (2006) Surrogate modeling in design optimization of stiffened composite shells. Compos Struct 73(2):244–251 CrossRef
Zurück zum Zitat Seresta O, Abdalla MM, Gurdal Z (2005) Optimal design of laminated composite plates for maximum post buckling strength. AIAA Paper 2005-2128. In: 46th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference, Austin, Texas. p. 1–12 Seresta O, Abdalla MM, Gurdal Z (2005) Optimal design of laminated composite plates for maximum post buckling strength. AIAA Paper 2005-2128. In: 46th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference, Austin, Texas. p. 1–12
Zurück zum Zitat Todoroki A, Sekishiro M (2008a) Stacking sequence optimization to maximize the buckling load of blade-stiffened panels with strength constraints using the iterative fractal branch and bound method. Compos Part B 39(5):842–850 CrossRef Todoroki A, Sekishiro M (2008a) Stacking sequence optimization to maximize the buckling load of blade-stiffened panels with strength constraints using the iterative fractal branch and bound method. Compos Part B 39(5):842–850 CrossRef
Zurück zum Zitat Todoroki A, Sekishiro M (2008b) Modified efficient global optimization for a hat-stiffened composite panel with buckling constraint. AIAA J 46(9):2257–2264 CrossRef Todoroki A, Sekishiro M (2008b) Modified efficient global optimization for a hat-stiffened composite panel with buckling constraint. AIAA J 46(9):2257–2264 CrossRef
Zurück zum Zitat Walker M (2002) The effect of stiffeners on the optimal ply orientation and buckling load of rectangular laminated plates. Comput Struct 80(27):2229–2239 CrossRef Walker M (2002) The effect of stiffeners on the optimal ply orientation and buckling load of rectangular laminated plates. Comput Struct 80(27):2229–2239 CrossRef
Zurück zum Zitat Wang W, Guo S, Chang N, Yang W (2010) Optimum buckling design of composite stiffened panels using ant colony algorithm. Compos Struct 92(3):712–719 CrossRef Wang W, Guo S, Chang N, Yang W (2010) Optimum buckling design of composite stiffened panels using ant colony algorithm. Compos Struct 92(3):712–719 CrossRef
Zurück zum Zitat Wang B, Tian K, Hao P, Cai Y, Li Y, Sun Y (2015) Hybrid analysis and optimization of hierarchical stiffened plates based on asymptotic homogenization method. Compos Struct 132:136–147 CrossRef Wang B, Tian K, Hao P, Cai Y, Li Y, Sun Y (2015) Hybrid analysis and optimization of hierarchical stiffened plates based on asymptotic homogenization method. Compos Struct 132:136–147 CrossRef
Zurück zum Zitat Yamazaki K (1996) Two-level optimization technique of composite laminate panels by genetic algorithms. AIAA Paper 96-1539. In: 37th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference, Salt Lake City, UT. p 1882–7 Yamazaki K (1996) Two-level optimization technique of composite laminate panels by genetic algorithms. AIAA Paper 96-1539. In: 37th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference, Salt Lake City, UT. p 1882–7
Zurück zum Zitat Yong M, Falzon B, Iannucci L (2008) On the application of genetic algorithms for optimising composites against impact loading. Int J Impact Eng 35(11):1293–1302 CrossRef Yong M, Falzon B, Iannucci L (2008) On the application of genetic algorithms for optimising composites against impact loading. Int J Impact Eng 35(11):1293–1302 CrossRef
Metadaten
Titel
Multi-objective optimization of a composite stiffened panel for hybrid design of stiffener layout and laminate stacking sequence
verfasst von
Haichao An
Shenyan Chen
Hai Huang
Publikationsdatum
21.02.2018
Verlag
Springer Berlin Heidelberg
Erschienen in
Structural and Multidisciplinary Optimization / Ausgabe 4/2018
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-018-1918-2

Weitere Artikel der Ausgabe 4/2018

Structural and Multidisciplinary Optimization 4/2018 Zur Ausgabe

Premium Partner

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.