Skip to main content
Erschienen in: Engineering with Computers 1/2004

01.03.2004 | Original Article

Transforming engineering knowledge through graph representations: transferring the Willis method to linkages and trusses

verfasst von: Offer Shai, Efim Mohr

Erschienen in: Engineering with Computers | Ausgabe 1/2004

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The paper introduces an approach for transforming methods and knowledge between different engineering fields through general discrete mathematical models, called graph representations, which carry engineering knowledge of specific systems. The idea is demonstrated by showing the transformation of the known method in planetary gear trains—the Willis method—to two other engineering systems: linkages and trusses. In doing so, two efficient methods were derived: one for analysing compound linkages, such as those containing tetrads, and another for compound trusses. These new methods were derived from two relations characterising graph representations: a representation that is common to two engineering fields and the duality relation between representations. The new approach underlying these transformations is shown to open new ways of conducting engineering research by enabling a systematic derivation of engineering knowledge through knowledge transformations between the graph representations.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

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!

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 "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Shai O (2001) Deriving structural theorems and methods using Tellegen’s theorem and combinatorial representations. Int J Solids Struct 38:8037–8052CrossRefMathSciNetMATH Shai O (2001) Deriving structural theorems and methods using Tellegen’s theorem and combinatorial representations. Int J Solids Struct 38:8037–8052CrossRefMathSciNetMATH
2.
Zurück zum Zitat Shai O (2002) Utilization of the dualism between determinate trusses and mechanisms. Mech Mach Theor 37(11):1307–1323CrossRefMATH Shai O (2002) Utilization of the dualism between determinate trusses and mechanisms. Mech Mach Theor 37(11):1307–1323CrossRefMATH
3.
Zurück zum Zitat Shai O (2001) The multidisciplinary combinatorial approach and its applications in engineering, AIEDAM—AI for engineering design. Anal Manufact 15(2):109–144CrossRefMATH Shai O (2001) The multidisciplinary combinatorial approach and its applications in engineering, AIEDAM—AI for engineering design. Anal Manufact 15(2):109–144CrossRefMATH
4.
Zurück zum Zitat Ta’aseh N, Shai O (2002) Derivation of methods and knowledge in structures by combinatorial representations. In: Proceedings of the Sixth International Conference on Computational Structures Technology, Prague, Czech Republic, 4–6 September 2002 Ta’aseh N, Shai O (2002) Derivation of methods and knowledge in structures by combinatorial representations. In: Proceedings of the Sixth International Conference on Computational Structures Technology, Prague, Czech Republic, 4–6 September 2002
5.
Zurück zum Zitat Shai O (2002) Duality between statical and kinematical engineering systems. In: Proceedings of the Sixth International Conference on Computational Structures Technology, Prague, Czech Republic, 4–6 September 2002 Shai O (2002) Duality between statical and kinematical engineering systems. In: Proceedings of the Sixth International Conference on Computational Structures Technology, Prague, Czech Republic, 4–6 September 2002
6.
Zurück zum Zitat Norton RL (1992) Design of machinery. McGraw-Hill, New York Norton RL (1992) Design of machinery. McGraw-Hill, New York
7.
Zurück zum Zitat Swamy MN, Thulasiraman K (1981) Graphs: networks and algorithms. Wiley, New York Swamy MN, Thulasiraman K (1981) Graphs: networks and algorithms. Wiley, New York
8.
Zurück zum Zitat Shai O (2001) The duality relation between mechanisms and trusses. Mech Mach Theor 36(3):343–369CrossRefMATH Shai O (2001) The duality relation between mechanisms and trusses. Mech Mach Theor 36(3):343–369CrossRefMATH
9.
Zurück zum Zitat Willis R (1841) Principles of mechanisms. Longmans Green & Co, London Willis R (1841) Principles of mechanisms. Longmans Green & Co, London
10.
Zurück zum Zitat Manolescu NI (1968) For a united point of view in the study of the structural analysis of kinematic chains and mechanisms. J Mech 3:149–169CrossRef Manolescu NI (1968) For a united point of view in the study of the structural analysis of kinematic chains and mechanisms. J Mech 3:149–169CrossRef
11.
Zurück zum Zitat Hibbeler RC (1985) Structural analysis. Macmillan, New York Hibbeler RC (1985) Structural analysis. Macmillan, New York
12.
Zurück zum Zitat Timoshenko SP, Young DH (1965) Theory of structures, 2nd ed. McGraw-Hill, Singapore Timoshenko SP, Young DH (1965) Theory of structures, 2nd ed. McGraw-Hill, Singapore
Metadaten
Titel
Transforming engineering knowledge through graph representations: transferring the Willis method to linkages and trusses
verfasst von
Offer Shai
Efim Mohr
Publikationsdatum
01.03.2004
Verlag
Springer-Verlag
Erschienen in
Engineering with Computers / Ausgabe 1/2004
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-004-0269-3

Weitere Artikel der Ausgabe 1/2004

Engineering with Computers 1/2004 Zur Ausgabe