Inverse Problems and Global Optimization of the Oscillatory Systems

  • V. M. Ryaboy
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)


Most of the known methods of structural optimization involve local optimization, i.e., the determination of optimal parameters for the system with specified configuration, or local modification of this configuration [1,2]. In this paper, an approach is presented for global optimization of linear mechanical oscillatory systems using the inverse problem solution for the system with given frequency response. The optimization is conducted in the function space of frequency responses rather than in the system parameters domain. The connection between the two domains is provided by the solution of the inverse problem.

With this approach, the limiting performance of the linear multi-degrees-of-freedom vibration isolation systems is investigated and the procedure for the determination of optimal configuration and parameters is developed.


Dual Problem Frequency Response Function Oscillatory System Vibration Isolation Vibration Isolation System 
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  1. 1.
    Banichuk, N.V. Problems and methods of optimal structural design. New York: Plenum Press 1983.Google Scholar
  2. 2.
    Haug, E. J.; Choi, K. C.; Komkov V. Design sensitivity analysis of structural systems. Orlando e.a.: Academic Press 1986.MATHGoogle Scholar
  3. 3.
    Ryaboi, V. M.: Limiting capabilities of elastic-inertial vibration-proofing. Mech. Solids 17 (1982) no. 5, 35–42. (Translated from Russian.)MathSciNetGoogle Scholar
  4. 4.
    Ryaboi, V.M.: Construction of dynamic diagrams and determination of the parameters of vibration-isolating systems with given properties. Sov. Mach. Sci. 1985 no.5, 37–43. (Translated from Russian.).Google Scholar
  5. 5.
    Genkin, M. D.; Ryaboy, V.M. Elastic-inertial vibration isolation systems. Limiting performance, optimal structures. Moscow: Nauka 1988 (in Russian).Google Scholar
  6. 6.
    Laurent, P.-J. Approximation et optimisation. Paris: Hermann 1972.MATHGoogle Scholar
  7. 7.
    Gol’stein, E. G. Duality theory in mathematical programming and it’s applications. Moscow: Nauka 1971 (in Russian).Google Scholar
  8. 8.
    Genkin, M.D.; Ryaboy, V.M.: Limiting performance estimates and computer-aided synthesis of elastic-inertial vibration isolation systems. 13-th Internat. Congr. on Acoustics. Beograd, 1989. V.3, 341–344.Google Scholar

Copyright information

© Springer-Verlag, Berlin Heidelberg 1991

Authors and Affiliations

  • V. M. Ryaboy
    • 1
  1. 1.Mechanical Engineering Research InstituteUSSR Academy of SciencesMoscowUSSR

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