Skip to main content
Top
Published in: Structural and Multidisciplinary Optimization 5/2010

01-11-2010 | Industrial Application

Harmony search algorithm for minimum cost design of steel frames with semi-rigid connections and column bases

Authors: Sadik O. Degertekin, Mehmet S. Hayalioglu

Published in: Structural and Multidisciplinary Optimization | Issue 5/2010

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Harmony search-based algorithm is developed to determine the minimum cost design of steel frames with semi-rigid connections and column bases under displacement, strength and size constraints. Harmony search (HS) is recently developed metaheuristic search algorithm which is based on the analogy between the performance process of natural music and searching for solutions of optimum design problems. The geometric non-linearity of the frame members, the semi-rigid behaviour of the beam-to-column connections and column bases are taken into account in the design algorithm. The results obtained by semi-rigid connection and column base modelling are also compared to one developed by rigid connection modelling. The efficiency of HS algorithm, in comparison with genetic algorithms (GAs), is verified with three benchmark examples. The results indicate that HS could obtain lighter frames and less cost values than those developed using GAs.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
go back to reference Abdalla KM, Chen WF (1995) Expanded database of semi-rigid steel connections. Comput Struct 56:553–564CrossRef Abdalla KM, Chen WF (1995) Expanded database of semi-rigid steel connections. Comput Struct 56:553–564CrossRef
go back to reference AISC (2001) Manual of steel construction-Load and resistance factor design. American Institute of Steel Construction, Chicago AISC (2001) Manual of steel construction-Load and resistance factor design. American Institute of Steel Construction, Chicago
go back to reference Almusallam TH (1995) Effect of connection flexibility on the optimum design of steel frames. In: Proceedings intern conf develop comput tech civil eng. Edinburgh Almusallam TH (1995) Effect of connection flexibility on the optimum design of steel frames. In: Proceedings intern conf develop comput tech civil eng. Edinburgh
go back to reference Alsalloum YA, Almusallam TH (1995) Optimality and safety of rigidly-jointed and flexibly-jointed steel frames. J Constr Steel Res 35:189–215CrossRef Alsalloum YA, Almusallam TH (1995) Optimality and safety of rigidly-jointed and flexibly-jointed steel frames. J Constr Steel Res 35:189–215CrossRef
go back to reference Chen WF, Goto Y, Liew JYR (1996) Stability design of semi-rigid frames. Wiley, New York Chen WF, Goto Y, Liew JYR (1996) Stability design of semi-rigid frames. Wiley, New York
go back to reference Cheng YM, Li L, Lansivaara T, Chi SC, Sun YJ (2008) An improved harmony search minimization algorithm using different slip surface generation methods for slope stability analysis. Eng Optim 40:95–115CrossRef Cheng YM, Li L, Lansivaara T, Chi SC, Sun YJ (2008) An improved harmony search minimization algorithm using different slip surface generation methods for slope stability analysis. Eng Optim 40:95–115CrossRef
go back to reference Csebfalvi A (2007) Optimal design of frame structures with semi-rigid joints. Period Polytech Civ Eng 51:9–15CrossRef Csebfalvi A (2007) Optimal design of frame structures with semi-rigid joints. Period Polytech Civ Eng 51:9–15CrossRef
go back to reference Cunningham RJ (1990) Some aspects of semi-rigid connections in structural steelwork. Struct Eng 68:85–92 Cunningham RJ (1990) Some aspects of semi-rigid connections in structural steelwork. Struct Eng 68:85–92
go back to reference Degertekin SO (2008a) Harmony search algorithm for optimum design of steel frame structures: a comparative study with other optimization methods. Struct Eng Mech 29:391–410 Degertekin SO (2008a) Harmony search algorithm for optimum design of steel frame structures: a comparative study with other optimization methods. Struct Eng Mech 29:391–410
go back to reference Degertekin SO (2008b) Optimum design of steel frames using harmony search algorithm. Struct Multidisc Optim 36:393–401CrossRef Degertekin SO (2008b) Optimum design of steel frames using harmony search algorithm. Struct Multidisc Optim 36:393–401CrossRef
go back to reference Dhillon BS, O’Malley JW (1999) Interactive design of semirigid steel frames. J Struct Eng-ASCE 125:556–564CrossRef Dhillon BS, O’Malley JW (1999) Interactive design of semirigid steel frames. J Struct Eng-ASCE 125:556–564CrossRef
go back to reference Fesanghary M, Damangir E, Soleimani I (2009) Design optimization of shell and tube heat exchangers using global sensitivity analysis and harmony search algorithm. Appl Therm Eng 29:1026–1031CrossRef Fesanghary M, Damangir E, Soleimani I (2009) Design optimization of shell and tube heat exchangers using global sensitivity analysis and harmony search algorithm. Appl Therm Eng 29:1026–1031CrossRef
go back to reference Forsati R, Haghighat AT, Mahdavi M (2008) Harmony search based algorithms for bandwidth-delay-constrained least-cost multicast routing. Comput Commun 31:2505–2519CrossRef Forsati R, Haghighat AT, Mahdavi M (2008) Harmony search based algorithms for bandwidth-delay-constrained least-cost multicast routing. Comput Commun 31:2505–2519CrossRef
go back to reference Frye MJ, Morris GA (1975) Analysis of flexibly connected steel frames. Can J Civ Eng 2:280–291CrossRef Frye MJ, Morris GA (1975) Analysis of flexibly connected steel frames. Can J Civ Eng 2:280–291CrossRef
go back to reference Geem ZW (2006) Optimal cost design of water distribution networks using harmony search. Eng Optim 38:259–280CrossRef Geem ZW (2006) Optimal cost design of water distribution networks using harmony search. Eng Optim 38:259–280CrossRef
go back to reference Geem ZW (2007) Optimal scheduling of multiple dam system using harmony search algorithm. Lect Notes Comput Sci 4507:316–323CrossRef Geem ZW (2007) Optimal scheduling of multiple dam system using harmony search algorithm. Lect Notes Comput Sci 4507:316–323CrossRef
go back to reference Geem ZW, Williams JC (2007) Harmony search and ecological optimization. Int J Energy Environ Econ 1:150–154 Geem ZW, Williams JC (2007) Harmony search and ecological optimization. Int J Energy Environ Econ 1:150–154
go back to reference Geem ZW, Kim JH, Loganathan GV (2001) A new heuristic optimization algorithm: harmony search. Simulation 76:60–68CrossRef Geem ZW, Kim JH, Loganathan GV (2001) A new heuristic optimization algorithm: harmony search. Simulation 76:60–68CrossRef
go back to reference Geem ZW, Lee KS, Park Y (2005) Application of harmony search to vehicle routing. Am J Appl Sci 2:1552–1557CrossRef Geem ZW, Lee KS, Park Y (2005) Application of harmony search to vehicle routing. Am J Appl Sci 2:1552–1557CrossRef
go back to reference Goldberg DE (1989) Genetic algorithms in search, optimization and machine learning. Addisson-Wesley, ReadingMATH Goldberg DE (1989) Genetic algorithms in search, optimization and machine learning. Addisson-Wesley, ReadingMATH
go back to reference Hayalioglu MS, Degertekin SO (2004a) Genetic algorithm based optimum design of non-linear steel frames with semi-rigid connections. Steel Compos Struct 4:453–469 Hayalioglu MS, Degertekin SO (2004a) Genetic algorithm based optimum design of non-linear steel frames with semi-rigid connections. Steel Compos Struct 4:453–469
go back to reference Hayalioglu MS, Degertekin SO (2004b) Design of non-linear steel frames for stress and displacement constraints with semi-rigid connections via genetic optimization. Struct Multidisc Optim 27:259–271CrossRef Hayalioglu MS, Degertekin SO (2004b) Design of non-linear steel frames for stress and displacement constraints with semi-rigid connections via genetic optimization. Struct Multidisc Optim 27:259–271CrossRef
go back to reference Hayalioglu MS, Degertekin SO (2005) Minimum cost design of steel frames with semi-rigid connections and column bases via genetic optimization. Comput Struct 83:1849–1863CrossRef Hayalioglu MS, Degertekin SO (2005) Minimum cost design of steel frames with semi-rigid connections and column bases via genetic optimization. Comput Struct 83:1849–1863CrossRef
go back to reference Hensmann JS, Nethercot DA (2001) Numerical study of unbraced composite frames: generation of data to validate use of the wind moment method of design. J Constr Steel Res 57:791–809CrossRef Hensmann JS, Nethercot DA (2001) Numerical study of unbraced composite frames: generation of data to validate use of the wind moment method of design. J Constr Steel Res 57:791–809CrossRef
go back to reference Ihaddoudene ANT, Saidani M, Chemrouk M (2009) Mechanical model for the analysis of steel frames with semi rigid joints. J Constr Steel Res 65:631–640CrossRef Ihaddoudene ANT, Saidani M, Chemrouk M (2009) Mechanical model for the analysis of steel frames with semi rigid joints. J Constr Steel Res 65:631–640CrossRef
go back to reference Ivanyi M (2000) Full-scale tests of steel frames with semi-rigid connections. Eng Struct 22:168–179CrossRef Ivanyi M (2000) Full-scale tests of steel frames with semi-rigid connections. Eng Struct 22:168–179CrossRef
go back to reference Jones SW, Kirby PA, Nethercot DA (1980) Effect of semi-rigid connections on steel column strength. J Constr Steel Res 1:38–46CrossRef Jones SW, Kirby PA, Nethercot DA (1980) Effect of semi-rigid connections on steel column strength. J Constr Steel Res 1:38–46CrossRef
go back to reference Kameshki ES, Saka MP (2001) Optimum design of nonlinear steel frames with semi rigid connections using a genetic algorithms. Comput Struct 79:1593–1604CrossRef Kameshki ES, Saka MP (2001) Optimum design of nonlinear steel frames with semi rigid connections using a genetic algorithms. Comput Struct 79:1593–1604CrossRef
go back to reference Kameshki ES, Saka MP (2003) Genetic algorithm based optimum design of nonlinear planar steel frames with various semirigid connections. J Constr Steel Res 59:109–134CrossRef Kameshki ES, Saka MP (2003) Genetic algorithm based optimum design of nonlinear planar steel frames with various semirigid connections. J Constr Steel Res 59:109–134CrossRef
go back to reference Kaveh A, Moez H (2006) Analysis of frames with semi-rigid joints: a graph-theoretical approach. Eng Struct 28:829–836CrossRef Kaveh A, Moez H (2006) Analysis of frames with semi-rigid joints: a graph-theoretical approach. Eng Struct 28:829–836CrossRef
go back to reference Kim JH, Geem ZW, Kim ES (2001) Parameter estimation of the nonlinear muskingum model using harmony search. J Am Water Resour Assoc 37:1131–1138CrossRef Kim JH, Geem ZW, Kim ES (2001) Parameter estimation of the nonlinear muskingum model using harmony search. J Am Water Resour Assoc 37:1131–1138CrossRef
go back to reference King WS (1994) The limit loads of steel semi-rigid frames analyzed with different methods. Comput Struct 51:475–487MATHCrossRef King WS (1994) The limit loads of steel semi-rigid frames analyzed with different methods. Comput Struct 51:475–487MATHCrossRef
go back to reference King WS, Chen WF (1994) Practical 2nd-order inelastic analysis of semirigid frames. J Struct Eng-ASCE 120:2156–2175CrossRef King WS, Chen WF (1994) Practical 2nd-order inelastic analysis of semirigid frames. J Struct Eng-ASCE 120:2156–2175CrossRef
go back to reference Kishi N, Chen WF (1990) Moment-rotation relations of semi-rigid connections with angles. J Struct Eng-ASCE 116:1813–1834CrossRef Kishi N, Chen WF (1990) Moment-rotation relations of semi-rigid connections with angles. J Struct Eng-ASCE 116:1813–1834CrossRef
go back to reference Kishi N, Chen WF, Goto Y (1997) Effective length factor of columns in semirigid and unbraced frames. J Struct Eng-ASCE 123:313–320CrossRef Kishi N, Chen WF, Goto Y (1997) Effective length factor of columns in semirigid and unbraced frames. J Struct Eng-ASCE 123:313–320CrossRef
go back to reference Lee KS, Geem ZW (2004) A new structural optimization method based on the harmony search algorithm. Comput Struct 82:781–798CrossRef Lee KS, Geem ZW (2004) A new structural optimization method based on the harmony search algorithm. Comput Struct 82:781–798CrossRef
go back to reference Lee SS, Moon TS (2002) Moment-rotation model of semi-rigid connections with angles. Eng Struct 24:227–237CrossRef Lee SS, Moon TS (2002) Moment-rotation model of semi-rigid connections with angles. Eng Struct 24:227–237CrossRef
go back to reference Lee KS, Geem ZW, Lee SH, Bae KW (2005) The harmony search heuristic algorithm for discrete structural optimization. Eng Optim 37:663–684CrossRefMathSciNet Lee KS, Geem ZW, Lee SH, Bae KW (2005) The harmony search heuristic algorithm for discrete structural optimization. Eng Optim 37:663–684CrossRefMathSciNet
go back to reference Lui EM, Chen WF (1986) Analysis and behaviour of flexibly-jointed frames. Eng Struct 8:107–118CrossRef Lui EM, Chen WF (1986) Analysis and behaviour of flexibly-jointed frames. Eng Struct 8:107–118CrossRef
go back to reference Monforton GR, Wu TS (1963) Matrix analysis of semi-rigidly connected steel frames. J Struct Div-ASCE 89:13–42 Monforton GR, Wu TS (1963) Matrix analysis of semi-rigidly connected steel frames. J Struct Div-ASCE 89:13–42
go back to reference Mun S, Geem ZW (2009) Determination of viscoelastic and damage properties of hot mix asphalt concrete using a harmony search algorithm. Mech Mater 41:339–353CrossRef Mun S, Geem ZW (2009) Determination of viscoelastic and damage properties of hot mix asphalt concrete using a harmony search algorithm. Mech Mater 41:339–353CrossRef
go back to reference Paik K, Kim JH, Kim HS, Lee DR (2005) A conceptual rainfall-runoff model considering seasonal variation. Hydrol Process 19:3837–3850CrossRef Paik K, Kim JH, Kim HS, Lee DR (2005) A conceptual rainfall-runoff model considering seasonal variation. Hydrol Process 19:3837–3850CrossRef
go back to reference Pirmoz A, Khoei AS, Mohammadrezapour E, Daryan AS (2009) Moment-rotation behavior of bolted top-seat angle connections. J Constr Steel Res 65:973–984CrossRef Pirmoz A, Khoei AS, Mohammadrezapour E, Daryan AS (2009) Moment-rotation behavior of bolted top-seat angle connections. J Constr Steel Res 65:973–984CrossRef
go back to reference Saka MP (2007) Optimum geometry design of geodesic domes using harmony search algorithm. Adv Struct Eng 10:595–606CrossRef Saka MP (2007) Optimum geometry design of geodesic domes using harmony search algorithm. Adv Struct Eng 10:595–606CrossRef
go back to reference Saka MP (2009) Optimum design of steel sway frames to BS 5950 using harmony search algorithm. J Constr Steel Res 65:36–43CrossRef Saka MP (2009) Optimum design of steel sway frames to BS 5950 using harmony search algorithm. J Constr Steel Res 65:36–43CrossRef
go back to reference Sekulovic M, Salatic R (2001) Nonlinear analysis of frames with flexible connections. Comput Struct 79:1097–1107CrossRef Sekulovic M, Salatic R (2001) Nonlinear analysis of frames with flexible connections. Comput Struct 79:1097–1107CrossRef
go back to reference Simoes LMC (1996) Optimization of frames with semi-rigid connections. Comput Struct 60:531–539MATHCrossRef Simoes LMC (1996) Optimization of frames with semi-rigid connections. Comput Struct 60:531–539MATHCrossRef
go back to reference Wang XW (2008) Nonlinear finite element analysis on the steel frame with semi-rigid connections. In: 7th WSEAS int conf appl comput appl comput sci. Hangzhou Wang XW (2008) Nonlinear finite element analysis on the steel frame with semi-rigid connections. In: 7th WSEAS int conf appl comput appl comput sci. Hangzhou
go back to reference Wu FS, Chen WF (1990) A design model for semi-rigid connections. Eng Struct 12:88–97CrossRef Wu FS, Chen WF (1990) A design model for semi-rigid connections. Eng Struct 12:88–97CrossRef
go back to reference Xu L, Grierson DE (1993) Computer automated design of semi-rigid steel frameworks. J Struct Eng-ASCE 119:1740–1760CrossRef Xu L, Grierson DE (1993) Computer automated design of semi-rigid steel frameworks. J Struct Eng-ASCE 119:1740–1760CrossRef
go back to reference Yee YL, Melchers RE (1986) Moment-rotation curves for bolted connections. J Struct Eng-ASCE 112:615–635CrossRef Yee YL, Melchers RE (1986) Moment-rotation curves for bolted connections. J Struct Eng-ASCE 112:615–635CrossRef
Metadata
Title
Harmony search algorithm for minimum cost design of steel frames with semi-rigid connections and column bases
Authors
Sadik O. Degertekin
Mehmet S. Hayalioglu
Publication date
01-11-2010
Publisher
Springer-Verlag
Published in
Structural and Multidisciplinary Optimization / Issue 5/2010
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-010-0533-7

Other articles of this Issue 5/2010

Structural and Multidisciplinary Optimization 5/2010 Go to the issue

Premium Partners