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Optimal design of a torsional shaft system using Pontryagin’s Maximum Principle

Meccanica (Milan), 2012-06, Vol.47 (5), p.1197-1207 [Peer Reviewed Journal]

Springer Science+Business Media B.V. 2011 ;ISSN: 0025-6455 ;EISSN: 1572-9648 ;DOI: 10.1007/s11012-011-9504-3

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  • Title:
    Optimal design of a torsional shaft system using Pontryagin’s Maximum Principle
  • Author: Le, Minh-Quy ; Tran, Duc-Trung ; Bui, Hai-Le
  • Subjects: Automotive Engineering ; Civil Engineering ; Classical Mechanics ; Mechanical Engineering ; Physics ; Physics and Astronomy
  • Is Part Of: Meccanica (Milan), 2012-06, Vol.47 (5), p.1197-1207
  • Description: Optimal problems are investigated in the present work in order to control the natural frequencies of a torsional shaft system including the total weight constraint and effects of tuned mass dampers. Maier objective functional is used. Pontryagin’s Maximum Principle is employed to derive necessary optimality conditions of the optimal problems. Numerical simulations are performed to study effects of tuned mass dampers on controlling natural frequencies as well as minimizing the system’s weight. Advantages of the proposed method are also discussed.
  • Publisher: Dordrecht: Springer Netherlands
  • Language: English
  • Identifier: ISSN: 0025-6455
    EISSN: 1572-9648
    DOI: 10.1007/s11012-011-9504-3
  • Source: Alma/SFX Local Collection
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