The minimax response of a complex dynamic system, such as a railroad vehicle, can be obtained by choosing certain (optimum) values of the stiffness and damping elements in the system. The railway vehicle is mathematically modeled as a linear, stable, strictly dissipative multi-degree of freedom dynamic system. The system is excited at more than one point by synchronous harmonic forces. A minimax principle reduces the problem to that of finite dimensional optimal design problem. Non-linear mathematical programming techniques are used to minimize the non-linear objective function representing the maximum resonant response at a point of the system, and subjected to linear or non-linear constraints, over a certain frequency range. The frequency range may be finite or infinite. Dynamic response of the system before and after optimization is shown, and three-dimensional plots for the constrained and unconstrained objective function versus the two most important design parameters are illustrated.

  • Supplemental Notes:
    • This paper was contributed by the Rail Transportation Division of the ASME for presentation at the Winter Annual Meeting, 17-22 November 1974, New York, New York.
  • Corporate Authors:

    American Society of Mechanical Engineers

    Two Park Avenue
    New York, NY  United States  10016-5990
  • Authors:
    • Dokainish, M A
    • Siddall, J N
  • Publication Date: 1974-6

Media Info

  • Features: Figures; References;
  • Pagination: 12 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00072668
  • Record Type: Publication
  • Source Agency: American Society of Mechanical Engineers
  • Report/Paper Numbers: No. 74-WA/RT-3
  • Files: TRIS
  • Created Date: Jan 9 1976 12:00AM