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Published in: Structural and Multidisciplinary Optimization 1/2015

01-07-2015 | RESEARCH PAPER

A software development framework for structural optimization considering non linear static responses

Authors: Hyun-Ah Lee, Gyung-Jin Park

Published in: Structural and Multidisciplinary Optimization | Issue 1/2015

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Abstract

In the real world, structural systems may not have linear static characteristics. However, structural optimization has been developed based on static responses because sensitivity analysis regarding static finite element analysis is developed quite well. Analyses other than static analysis are heavily required in the engineering community these days. Techniques for such analyses have been extensively developed and many software systems using the finite element method are easily available in the market. On the other hand, development of structural optimization using such analyses is fairly slow due to many obstacles. One obstacle is that it is very difficult and expensive to consider the nonlinearities or dynamic effects in the way of conventional optimization. Recently, the equivalent static loads method for non linear static response structural optimization (ESLSO) has been proposed for structural optimization with various responses: linear dynamic response, nonlinear static response, and nonlinear dynamic response. In ESLSO, finite element analysis other than static analysis is performed, equivalent static loads (ESLs) are generated, linear static response structural optimization is carried out with the ESLs and the process iterates. A software system for the automatic use of ESLSO is developed and described. One of the advantages of ESLSO is that it can use well developed commercial software systems for structural analysis and linear static response structural optimization. Various analysis and optimization systems are integrated in the developed system. The structure of the system is systematically defined and the software is developed by the C++ language on the Windows operating system.

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Literature
go back to reference Abaqus Analysis User’s Manual Version 6.8 (2008) SIMULIA, Providence, RI Abaqus Analysis User’s Manual Version 6.8 (2008) SIMULIA, Providence, RI
go back to reference Abbasi M, Kazemi R, Nazari AG (2011) Using a parametric method for investigating automotive crashworthiness. Int J Automot Eng 1(3):165–172 Abbasi M, Kazemi R, Nazari AG (2011) Using a parametric method for investigating automotive crashworthiness. Int J Automot Eng 1(3):165–172
go back to reference Altair OptiStruct, Introduction to OptiStruct FEA Version 10.0 (2009) Altair Engineering, Inc., MI, U.S.A. Altair OptiStruct, Introduction to OptiStruct FEA Version 10.0 (2009) Altair Engineering, Inc., MI, U.S.A.
go back to reference Bathe KJ (1996) Finite element nonlinear analysis in solid and structural mechanics. Finite Element Procedures in Engineering Analysis. Prentice Hall, Englewood Cliffs Bathe KJ (1996) Finite element nonlinear analysis in solid and structural mechanics. Finite Element Procedures in Engineering Analysis. Prentice Hall, Englewood Cliffs
go back to reference Bendsøe MP (1989) Optimal shape design as a material distribution problem. Struct Optim 1(4):193–202CrossRef Bendsøe MP (1989) Optimal shape design as a material distribution problem. Struct Optim 1(4):193–202CrossRef
go back to reference Bendsøe MP, Sigmund O (2003) Topology optimization by distribution of isotropic material. Topology optimization: theory, methods and applications. Springer, Germany Bendsøe MP, Sigmund O (2003) Topology optimization by distribution of isotropic material. Topology optimization: theory, methods and applications. Springer, Germany
go back to reference Choi JS (2014) Multidisciplinary design optimization of the flapping wing system for forward flight. Hanyang University, Seoul (In Korean) Choi JS (2014) Multidisciplinary design optimization of the flapping wing system for forward flight. Hanyang University, Seoul (In Korean)
go back to reference Choi WS, Park GJ (2002) Structural optimization using equivalent static loads at all the time intervals. Comput Method Appl Mech Eng 191(19–20):2105–2122CrossRef Choi WS, Park GJ (2002) Structural optimization using equivalent static loads at all the time intervals. Comput Method Appl Mech Eng 191(19–20):2105–2122CrossRef
go back to reference Choi JS, Zhao L, Park GJ, Agrawal SK, Kolonay RM (2011) Enhancement of a flapping wing using path and dynamic topology optimization. AIAA J 49(12):2616–2626CrossRef Choi JS, Zhao L, Park GJ, Agrawal SK, Kolonay RM (2011) Enhancement of a flapping wing using path and dynamic topology optimization. AIAA J 49(12):2616–2626CrossRef
go back to reference Christensen J, Bastien C, Blundell MV (2013) The feasibility of ESLM for BIW roof structure development and optimization. J Math Res Appl 1(2):34–47 Christensen J, Bastien C, Blundell MV (2013) The feasibility of ESLM for BIW roof structure development and optimization. J Math Res Appl 1(2):34–47
go back to reference Cook R, Malkus D, Plesha M, Witt R (2001) Concepts and applications of finite element analysis. John Wiley & Sons. Inc., New York Cook R, Malkus D, Plesha M, Witt R (2001) Concepts and applications of finite element analysis. John Wiley & Sons. Inc., New York
go back to reference Duddeck F (2011) New approaches for shape and topology optimization for crashworthiness. 2011 NAFEMS world Congress. Boston, USA Duddeck F (2011) New approaches for shape and topology optimization for crashworthiness. 2011 NAFEMS world Congress. Boston, USA
go back to reference GENESIS 10.0 User’s Manual (2009) Vanderplaats Research and Development, Inc GENESIS 10.0 User’s Manual (2009) Vanderplaats Research and Development, Inc
go back to reference Green NS, Canfield RA, Swenson ED, Yu W, Blair M (2009) Structural optimization of joined-wing beam model with bend-twist coupling using equivalent static loads. 50th AIAA/ASME/ASCE/AHS Structures, Structural Dynamics and Materials Conference, California, USA Green NS, Canfield RA, Swenson ED, Yu W, Blair M (2009) Structural optimization of joined-wing beam model with bend-twist coupling using equivalent static loads. 50th AIAA/ASME/ASCE/AHS Structures, Structural Dynamics and Materials Conference, California, USA
go back to reference Haftka RT, Gürdal Z (1992) Elements of structural optimization. Kluwer, DordrechtCrossRef Haftka RT, Gürdal Z (1992) Elements of structural optimization. Kluwer, DordrechtCrossRef
go back to reference Hong EP, You BJ, Kim CH, Park GJ (2010) Optimization of flexible components of multibody systems equivalent static loads. Struct Multidiscip Optim 40(1–6):549–562MathSciNetCrossRef Hong EP, You BJ, Kim CH, Park GJ (2010) Optimization of flexible components of multibody systems equivalent static loads. Struct Multidiscip Optim 40(1–6):549–562MathSciNetCrossRef
go back to reference Jang HH, Lee HA, Lee JY, Park GJ (2012) Dynamic response topology optimization in the time domain using equivalent static loads. AIAA J 50(1):226–234CrossRef Jang HH, Lee HA, Lee JY, Park GJ (2012) Dynamic response topology optimization in the time domain using equivalent static loads. AIAA J 50(1):226–234CrossRef
go back to reference Jeong SB, Yi SI, Kan CD, Nagabhushana V, Park GJ (2008) Structural optimization of an automobile roof structure using equivalent static loads. Proc Inst Mech Eng D J Automob Eng 222(11):1985–1995CrossRef Jeong SB, Yi SI, Kan CD, Nagabhushana V, Park GJ (2008) Structural optimization of an automobile roof structure using equivalent static loads. Proc Inst Mech Eng D J Automob Eng 222(11):1985–1995CrossRef
go back to reference Jeong SB, Yoon S, Xu S, Park GJ (2010) Non-linear dynamic response structural optimization of an automobile frontal structure using equivalent static loads. Proc Inst Mech Eng D J Automob Eng 224(4):489–501CrossRef Jeong SB, Yoon S, Xu S, Park GJ (2010) Non-linear dynamic response structural optimization of an automobile frontal structure using equivalent static loads. Proc Inst Mech Eng D J Automob Eng 224(4):489–501CrossRef
go back to reference Kang BS, Park GJ, Arora JS (2005) Optimization of flexible multibody dynamic systems using the equivalent static load method. AIAA J 43(4):846–852CrossRef Kang BS, Park GJ, Arora JS (2005) Optimization of flexible multibody dynamic systems using the equivalent static load method. AIAA J 43(4):846–852CrossRef
go back to reference Kim YI, Park GJ (2009) Nonlinear dynamic response structural optimization using equivalent static loads. Comput Methods Appl Mech Eng 199(9–12):660–676 Kim YI, Park GJ (2009) Nonlinear dynamic response structural optimization using equivalent static loads. Comput Methods Appl Mech Eng 199(9–12):660–676
go back to reference Kurtaran H, Eskandarian A, Marzougui D, Bedewi NE (2002) Crashworthiness design optimization using successive response surface approximations. Comput Mech 29:409–421CrossRef Kurtaran H, Eskandarian A, Marzougui D, Bedewi NE (2002) Crashworthiness design optimization using successive response surface approximations. Comput Mech 29:409–421CrossRef
go back to reference Lee KK, Lee KH, Han SH (2011) Use of an orthogonal array based on the kriging model to maximize the fatigue life of a turbine blade. Int J Struct Integr 2(3):303–312 Lee KK, Lee KH, Han SH (2011) Use of an orthogonal array based on the kriging model to maximize the fatigue life of a turbine blade. Int J Struct Integr 2(3):303–312
go back to reference Lee HA, Park GJ (2012) Topology optimization for structures with nonlinear behavior using the equivalent static loads. ASME-J Mech Des 134(3):031004–031014CrossRef Lee HA, Park GJ (2012) Topology optimization for structures with nonlinear behavior using the equivalent static loads. ASME-J Mech Des 134(3):031004–031014CrossRef
go back to reference Lee JJ, Park GJ (2014) Optimization of the structural and process parameters in the sheet metal forming process. J Mech Sci Technol 28(2):605–619CrossRef Lee JJ, Park GJ (2014) Optimization of the structural and process parameters in the sheet metal forming process. J Mech Sci Technol 28(2):605–619CrossRef
go back to reference Lee JJ, Jung UJ, Park GJ (2013a) Shape optimization of the workpiece in the forging process using equivalent static loads. Finite Elem Anal Des 69:1–18CrossRef Lee JJ, Jung UJ, Park GJ (2013a) Shape optimization of the workpiece in the forging process using equivalent static loads. Finite Elem Anal Des 69:1–18CrossRef
go back to reference Lee SJ, Lee HA, Yi SI, Kim DS, Yang HW, Park GJ (2013b) Design flow for the crash box in a vehicle to maximize energy absorption. Proc Inst Mech Eng D J Automob Eng 227(2):179–200CrossRef Lee SJ, Lee HA, Yi SI, Kim DS, Yang HW, Park GJ (2013b) Design flow for the crash box in a vehicle to maximize energy absorption. Proc Inst Mech Eng D J Automob Eng 227(2):179–200CrossRef
go back to reference Li M, Tang W, Yuan M (2014) Structural dynamic topology optimization based on dynamic reliability using equivalent static loads. Struct Multidiscip Optim 49(1):121–129MathSciNetCrossRef Li M, Tang W, Yuan M (2014) Structural dynamic topology optimization based on dynamic reliability using equivalent static loads. Struct Multidiscip Optim 49(1):121–129MathSciNetCrossRef
go back to reference LS-DYNA User’s Manual (2006) Livermore Software Technology Co., Livermore, CA LS-DYNA User’s Manual (2006) Livermore Software Technology Co., Livermore, CA
go back to reference MD NASTRAN R3 User’s Manual (2008) MSC Software Co., Santa Ana, CA, U.S.A. MD NASTRAN R3 User’s Manual (2008) MSC Software Co., Santa Ana, CA, U.S.A.
go back to reference Microsoft Press (1998) MFC Library Reference, Redmond, WA, USA Microsoft Press (1998) MFC Library Reference, Redmond, WA, USA
go back to reference Müllershön H, Erhart A, Schmacher P (2013) Topology and topometry optimization of crash applications with the equivalent static load method. 10th World Congress on Structural and Multidisciplinary Optimization. Orland, Florida, USA Müllershön H, Erhart A, Schmacher P (2013) Topology and topometry optimization of crash applications with the equivalent static load method. 10th World Congress on Structural and Multidisciplinary Optimization. Orland, Florida, USA
go back to reference Müllershön H, Erhart A, Anakiev K, Schmacher P, Kassegger H (2013) Application of the equivalent static load method for impact problems with GENESIS and LS-DYNA. Automotive CAE Grand Challenge. Hanau Müllershön H, Erhart A, Anakiev K, Schmacher P, Kassegger H (2013) Application of the equivalent static load method for impact problems with GENESIS and LS-DYNA. Automotive CAE Grand Challenge. Hanau
go back to reference Park GJ (2007) Analytic methods for design practice. Springer, Germany Park GJ (2007) Analytic methods for design practice. Springer, Germany
go back to reference Park GJ (2011) Technical overview of the equivalent static loads method for non-linear static response structural optimization. Struct Multidiscip Optim 43(3):319–337CrossRef Park GJ (2011) Technical overview of the equivalent static loads method for non-linear static response structural optimization. Struct Multidiscip Optim 43(3):319–337CrossRef
go back to reference Park GJ, Kang BS (2003) Validation of a structural optimization algorithm transforming dynamic loads into equivalent static loads. J Optim Theory Appl 118(1):191–200MathSciNetCrossRef Park GJ, Kang BS (2003) Validation of a structural optimization algorithm transforming dynamic loads into equivalent static loads. J Optim Theory Appl 118(1):191–200MathSciNetCrossRef
go back to reference Reddy JN (2004) Material nonlinearities and coupled problems. An introduction to nonlinear finite element analysis. Oxford University Press, New YorkCrossRef Reddy JN (2004) Material nonlinearities and coupled problems. An introduction to nonlinear finite element analysis. Oxford University Press, New YorkCrossRef
go back to reference Sherif K, Irschik H (2010) Efficient topology optimization of large dynamic finite element systems using fatigue. AIAA J 48(7):1339–1347CrossRef Sherif K, Irschik H (2010) Efficient topology optimization of large dynamic finite element systems using fatigue. AIAA J 48(7):1339–1347CrossRef
go back to reference Shin MK, Park KJ, Park GJ (2007) Optimization of structures with nonlinear behavior using equivalent loads. Comput Methods Appl Mech Eng 196(4–6):1154–1167CrossRef Shin MK, Park KJ, Park GJ (2007) Optimization of structures with nonlinear behavior using equivalent loads. Comput Methods Appl Mech Eng 196(4–6):1154–1167CrossRef
go back to reference Stander N, Roux W, Pattabiraman S, Dhulipudi R (1999) Response surface approximations for design optimization problems in nonlinear dynamics. ASME, Emerging Technologies in Fluids, Structure and Fluid/Structure Interactions, PVP-Vol. 396 Stander N, Roux W, Pattabiraman S, Dhulipudi R (1999) Response surface approximations for design optimization problems in nonlinear dynamics. ASME, Emerging Technologies in Fluids, Structure and Fluid/Structure Interactions, PVP-Vol. 396
go back to reference Stroustrup B (2000) The C++ Programming Language. Addison Wesley, Reading Stroustrup B (2000) The C++ Programming Language. Addison Wesley, Reading
go back to reference Tromme E, Brüls O, Virlez G, Duysink P (2013) Structural optimization of flexible components under dynamic loading within a, multibody system approach a comparative evaluation of optimization methods based on a 2-dof robot application. 10th World Congress on Structural and Multidisciplinary Optimization, Orlando, Florida, USA Tromme E, Brüls O, Virlez G, Duysink P (2013) Structural optimization of flexible components under dynamic loading within a, multibody system approach a comparative evaluation of optimization methods based on a 2-dof robot application. 10th World Congress on Structural and Multidisciplinary Optimization, Orlando, Florida, USA
go back to reference Vanderplaats GN (1993) Thirty years of modern structural optimization. Adv Eng Softw 16(2):81–88CrossRef Vanderplaats GN (1993) Thirty years of modern structural optimization. Adv Eng Softw 16(2):81–88CrossRef
go back to reference Yi SI, Lee HA, Park GJ (2011) Optimization of a structure with contact conditions using equivalent loads. J Mech Sci Technol 25(3):773–782CrossRef Yi SI, Lee HA, Park GJ (2011) Optimization of a structure with contact conditions using equivalent loads. J Mech Sci Technol 25(3):773–782CrossRef
go back to reference Yi SI, Lee JY, Park GJ (2012) Crashworthiness design optimization using equivalent static loads. Proc Inst Mech Eng D J Automob Eng 226(1):23–38CrossRef Yi SI, Lee JY, Park GJ (2012) Crashworthiness design optimization using equivalent static loads. Proc Inst Mech Eng D J Automob Eng 226(1):23–38CrossRef
Metadata
Title
A software development framework for structural optimization considering non linear static responses
Authors
Hyun-Ah Lee
Gyung-Jin Park
Publication date
01-07-2015
Publisher
Springer Berlin Heidelberg
Published in
Structural and Multidisciplinary Optimization / Issue 1/2015
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-015-1228-x

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