Skip to main content
Top
Published in: Structural and Multidisciplinary Optimization 6/2014

01-12-2014 | INDUSTRIAL APPLICATION

Structural optimization methods and techniques to design light and efficient automatic transmission of vehicles with low radiated noise

Authors: Takanori Ide, Masaki Otomori, Juan Pablo Leiva, Brian C. Watson

Published in: Structural and Multidisciplinary Optimization | Issue 6/2014

Log in

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

search-config
loading …

Abstract

This paper discusses design methodologies for automatic transmission of vehicles to achieve light weight and low radiated noise. Light weight design is a fundamental requirement for protecting the environment and improving fuel economy. In addition, quietness is another requirement for comfortable drive. However, in the design of automatic transmission, these two requirements are usually in trade-off relationship and engineers spend a long time to reach a desired design. This paper deals with the design approaches using structural optimization method for minimizing the radiation noise and the mass of automatic transmission. The weakly coupled analysis of elastic and acoustic problem are considered for evaluating the radiated noise problem, where the modal frequency analysis is first solved using the finite element method and the acoustic problem for computing a noise radiated from the surface of the automatic transmission is then solved using the boundary element method. Three different structural optimization methods, topometry, topography and freeform optimization, are applied for the design of outer casing of automatic transmission. The optimization results show that the optimization methods successfully found the light weight and low radiated noise design of outer case, and can be used at the early stage of the design process of automatic transmissions. The freeform optimization gives better solution compared with the result of topography optimization from the standpoint of the sound pressure reduction effect while the mass reduction effect is reduced in freeform optimization to satisfy the sound pressure constraint.

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 Allaire G, Jouve F, Toader AM (2004) Structural optimization using sensitivity analysis and a level-set method. J Comput Phys 194(1):363–393CrossRefMATHMathSciNet Allaire G, Jouve F, Toader AM (2004) Structural optimization using sensitivity analysis and a level-set method. J Comput Phys 194(1):363–393CrossRefMATHMathSciNet
go back to reference Azegami H, Kaizu S, Shimoda M, Katamine E (1997) Irregularity of shape optimization problems and an improvement technique. Computer Aided Optimization Design of Structures V:309–326 Azegami H, Kaizu S, Shimoda M, Katamine E (1997) Irregularity of shape optimization problems and an improvement technique. Computer Aided Optimization Design of Structures V:309–326
go back to reference Bendsøe MP, Kikuchi N (1988) Generating optimal topologies in structural design using a homogenization method. Comput Methods Appl Mech Eng 71(2):197–224CrossRef Bendsøe MP, Kikuchi N (1988) Generating optimal topologies in structural design using a homogenization method. Comput Methods Appl Mech Eng 71(2):197–224CrossRef
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 Bennett JA, Botkin ME (1985) Structural shape optimization with geometric description and adaptive mesh refinement. AIAA Journal 23(3):458–464CrossRef Bennett JA, Botkin ME (1985) Structural shape optimization with geometric description and adaptive mesh refinement. AIAA Journal 23(3):458–464CrossRef
go back to reference Bös J (2006) Numerical optimization of the thickness distribution of three-dimensional structures with respect to their structural acoustic properties. Struct Multidisc Optim 32(1):12–30CrossRef Bös J (2006) Numerical optimization of the thickness distribution of three-dimensional structures with respect to their structural acoustic properties. Struct Multidisc Optim 32(1):12–30CrossRef
go back to reference Citarella R, Federico L, Cicatiello A (2007) Modal acoustic transfer vector approach in a FEM-BEM vibro-acoustic analysis. Engineering Analysis with Boundary Elements 31(3):248–258CrossRef Citarella R, Federico L, Cicatiello A (2007) Modal acoustic transfer vector approach in a FEM-BEM vibro-acoustic analysis. Engineering Analysis with Boundary Elements 31(3):248–258CrossRef
go back to reference Dai Y, Ramnath D (2007) A topographically structural optimization methodology for improving noise radiation in transaxles. SAE Technical Paper 2007-01-2287 Dai Y, Ramnath D (2007) A topographically structural optimization methodology for improving noise radiation in transaxles. SAE Technical Paper 2007-01-2287
go back to reference Fleury C, Braibant V (1986) Structural optimization: a new dual method using mixed variables. Int J Numer Methods Eng 23(3):409–428CrossRefMATHMathSciNet Fleury C, Braibant V (1986) Structural optimization: a new dual method using mixed variables. Int J Numer Methods Eng 23(3):409–428CrossRefMATHMathSciNet
go back to reference GENESIS User’s Manual Version 12.1 (2011) Vanderplaats Research & Development, Inc., Colorado GENESIS User’s Manual Version 12.1 (2011) Vanderplaats Research & Development, Inc., Colorado
go back to reference Ide T, Kitajima H, Leiva JP, Watson BC (2012) Reduction of mass and sound pressure for automatic transmission using topography optimization. SAE Technical Paper 2012-01-0774 Ide T, Kitajima H, Leiva JP, Watson BC (2012) Reduction of mass and sound pressure for automatic transmission using topography optimization. SAE Technical Paper 2012-01-0774
go back to reference Ide T, Otomori M, Kitamura Y, Kosaka I, Leiva JP, Watson BC (2010) Improvement of noise performance for automatic transmission using sound pressure optimization. SAE Technical Paper 2010-01-0394 Ide T, Otomori M, Kitamura Y, Kosaka I, Leiva JP, Watson BC (2010) Improvement of noise performance for automatic transmission using sound pressure optimization. SAE Technical Paper 2010-01-0394
go back to reference Imam MH (1982) Three-dimensional shape optimization. Int J Numer Methods Eng 18(5):661–673CrossRefMATH Imam MH (1982) Three-dimensional shape optimization. Int J Numer Methods Eng 18(5):661–673CrossRefMATH
go back to reference Kawamoto A, Matsumori T, Yamasaki S, Nomura T, Kondoh T, Nishiwaki S (2011) Heaviside projection based topology optimization by a PDE-filtered scalar function. Struct Multidisc Optim 44(1):19–24CrossRefMATH Kawamoto A, Matsumori T, Yamasaki S, Nomura T, Kondoh T, Nishiwaki S (2011) Heaviside projection based topology optimization by a PDE-filtered scalar function. Struct Multidisc Optim 44(1):19–24CrossRefMATH
go back to reference Kikuchi N, Chung KY, Torigaki T, Taylor JE (1986) Adaptive finite element methods for shape optimization of linearly elastic structures. Comput Methods Appl Mech Eng 57(1):67–89CrossRefMATHMathSciNet Kikuchi N, Chung KY, Torigaki T, Taylor JE (1986) Adaptive finite element methods for shape optimization of linearly elastic structures. Comput Methods Appl Mech Eng 57(1):67–89CrossRefMATHMathSciNet
go back to reference Kosaka I, Leiva JP, Watson BC, Adduri P, Ide T (2011) Structural optimization method and techniques to reduce radiation noise. SAE Technical Paper 2011-01-1505 Kosaka I, Leiva JP, Watson BC, Adduri P, Ide T (2011) Structural optimization method and techniques to reduce radiation noise. SAE Technical Paper 2011-01-1505
go back to reference Leiva JP (2003) Methods for generation perturbation vectors for topography optimization for structures. In: Proceedings of 5th World Congress of Structural and Multidisciplinary Optimization Lido di Jesolo-Venice, A070. Italy, 19–23 May 2003 Leiva JP (2003) Methods for generation perturbation vectors for topography optimization for structures. In: Proceedings of 5th World Congress of Structural and Multidisciplinary Optimization Lido di Jesolo-Venice, A070. Italy, 19–23 May 2003
go back to reference Leiva JP (2004) Topometry optimization: a new capability to perform element by element sizing optimization of structures. In: Proceedings of 10th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization Albany, New York, 2004–4595 Leiva JP (2004) Topometry optimization: a new capability to perform element by element sizing optimization of structures. In: Proceedings of 10th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization Albany, New York, 2004–4595
go back to reference Leiva JP (2010) Freeform optimization: a new capability to perform grid by grid shape optimization of structures. In: Proceedings of 6th China-Japan-Korea Joint Symposium on Optimization of Structural and Mechanical Systems Kyoto, 1–13 Leiva JP (2010) Freeform optimization: a new capability to perform grid by grid shape optimization of structures. In: Proceedings of 6th China-Japan-Korea Joint Symposium on Optimization of Structural and Mechanical Systems Kyoto, 1–13
go back to reference Leiva JP (2011) Structural optimization methods and techniques to design efficient car bodies. In: Proceedings of International Automotive Body Congress 2011 Troy, Michigan, USA, 9–10 November 2011 Leiva JP (2011) Structural optimization methods and techniques to design efficient car bodies. In: Proceedings of International Automotive Body Congress 2011 Troy, Michigan, USA, 9–10 November 2011
go back to reference Schmit LA (1960) Structural design by systematic synthesis. In: Proceedings of 2nd Conference on Electronic Computation ASCE, New York, USA, 8–9 September 1960 Schmit LA (1960) Structural design by systematic synthesis. In: Proceedings of 2nd Conference on Electronic Computation ASCE, New York, USA, 8–9 September 1960
go back to reference Schmit LA, Farshi B (1974) Some approximation concepts for structural synthesis. AIAA J 12(5):692–699CrossRef Schmit LA, Farshi B (1974) Some approximation concepts for structural synthesis. AIAA J 12(5):692–699CrossRef
go back to reference Sigmund O (1997) On the design of compliant mechanisms using topology optimization. Mechan Struct Mach 25(4):493– 524CrossRef Sigmund O (1997) On the design of compliant mechanisms using topology optimization. Mechan Struct Mach 25(4):493– 524CrossRef
go back to reference Sigmund O, Maute K (2013) Topology optimization approaches. Struct Multidisc Optim 48(6):1031–1055MathSciNet Sigmund O, Maute K (2013) Topology optimization approaches. Struct Multidisc Optim 48(6):1031–1055MathSciNet
go back to reference Starnes JH Jr, Haftka RT (1979) Preliminary design of composite wings for buckling, stress and displacement constraints. J Aircr 16(8):564–570CrossRef Starnes JH Jr, Haftka RT (1979) Preliminary design of composite wings for buckling, stress and displacement constraints. J Aircr 16(8):564–570CrossRef
go back to reference Tamari J, Miyashita Y (2012) Development of automated scheme for gear noise characteristic optimization (in Japanese). In: Proceedings of 2012 JSAE Annual Congress (Spring) 223-20125009 Tamari J, Miyashita Y (2012) Development of automated scheme for gear noise characteristic optimization (in Japanese). In: Proceedings of 2012 JSAE Annual Congress (Spring) 223-20125009
go back to reference Taylor JE (1984) An interpretation for min-max structural design problems including a method for relaxing constraints. Int J Solids Struct 20(4):301–314CrossRefMATH Taylor JE (1984) An interpretation for min-max structural design problems including a method for relaxing constraints. Int J Solids Struct 20(4):301–314CrossRefMATH
go back to reference Vanderplaats GN (1979) Approximation concepts for numerical airfoil optimization. NASA Technical paper 1370 Vanderplaats GN (1979) Approximation concepts for numerical airfoil optimization. NASA Technical paper 1370
go back to reference Vanderplaats GN (2004) Saving energy through design optimization. SAE Technical paper 2003-01-1331 Vanderplaats GN (2004) Saving energy through design optimization. SAE Technical paper 2003-01-1331
go back to reference Vanderplaats GN (2007) Numerical optimization techniques for engineering design: with applications, Vanderplaats Research & Development, Inc., Colorado Vanderplaats GN (2007) Numerical optimization techniques for engineering design: with applications, Vanderplaats Research & Development, Inc., Colorado
go back to reference Vanderplaats GN (2011) Multidiscipline design optimization, Vanderplaats Research & Development, Inc., Colorado Vanderplaats GN (2011) Multidiscipline design optimization, Vanderplaats Research & Development, Inc., Colorado
go back to reference Wang MY, Wang X, Guo D (2003) A level set method for structural topology optimization. Comput Methods Appl Mech Eng 192(1-2):227–246CrossRefMATH Wang MY, Wang X, Guo D (2003) A level set method for structural topology optimization. Comput Methods Appl Mech Eng 192(1-2):227–246CrossRefMATH
go back to reference Wang F, Lazarov BS, Sigmund O (2011) On projection methods, convergence and robust formulations in topology optimization. Struct Multidisc Optim 43(6):767–784CrossRefMATH Wang F, Lazarov BS, Sigmund O (2011) On projection methods, convergence and robust formulations in topology optimization. Struct Multidisc Optim 43(6):767–784CrossRefMATH
go back to reference Wei P, Wang MY (2009) Piecewise constant level set method for structural topology optimization. Int J Numer Methods Eng 78(4):379–402CrossRefMATH Wei P, Wang MY (2009) Piecewise constant level set method for structural topology optimization. Int J Numer Methods Eng 78(4):379–402CrossRefMATH
go back to reference Wu TW (2000) Boundary element acoustics. WIT Press Southampton, BostonMATH Wu TW (2000) Boundary element acoustics. WIT Press Southampton, BostonMATH
go back to reference Yamada T, Izui K, Nishiwaki S, Takezawa A (2010) A topology optimization method based on the level set method incorporating a fictitious interface energy. Comput Methods Appl Mech Eng 199(45-48):2876–2891CrossRefMATHMathSciNet Yamada T, Izui K, Nishiwaki S, Takezawa A (2010) A topology optimization method based on the level set method incorporating a fictitious interface energy. Comput Methods Appl Mech Eng 199(45-48):2876–2891CrossRefMATHMathSciNet
go back to reference Zienkiewicz OC, Campbell JS (1973) Shape optimization and sequential linear programming, in Optimum Structural Design - Theory and Applications. John Wiley, pp 109– 126 Zienkiewicz OC, Campbell JS (1973) Shape optimization and sequential linear programming, in Optimum Structural Design - Theory and Applications. John Wiley, pp 109– 126
Metadata
Title
Structural optimization methods and techniques to design light and efficient automatic transmission of vehicles with low radiated noise
Authors
Takanori Ide
Masaki Otomori
Juan Pablo Leiva
Brian C. Watson
Publication date
01-12-2014
Publisher
Springer Berlin Heidelberg
Published in
Structural and Multidisciplinary Optimization / Issue 6/2014
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-014-1143-6

Other articles of this Issue 6/2014

Structural and Multidisciplinary Optimization 6/2014 Go to the issue

Premium Partners