Summary
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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Banichuk, N.V. Problems and methods of optimal structural design. New York: Plenum Press 1983.
Haug, E. J.; Choi, K. C.; Komkov V. Design sensitivity analysis of structural systems. Orlando e.a.: Academic Press 1986.
Ryaboi, V. M.: Limiting capabilities of elastic-inertial vibration-proofing. Mech. Solids 17 (1982) no. 5, 35–42. (Translated from Russian.)
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.).
Genkin, M. D.; Ryaboy, V.M. Elastic-inertial vibration isolation systems. Limiting performance, optimal structures. Moscow: Nauka 1988 (in Russian).
Laurent, P.-J. Approximation et optimisation. Paris: Hermann 1972.
Gol’stein, E. G. Duality theory in mathematical programming and it’s applications. Moscow: Nauka 1971 (in Russian).
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.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer-Verlag, Berlin Heidelberg
About this paper
Cite this paper
Ryaboy, V.M. (1991). Inverse Problems and Global Optimization of the Oscillatory Systems. In: Banichuk, N.V., Klimov, D.M., Schiehlen, W. (eds) Dynamical Problems of Rigid-Elastic Systems and Structures. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84458-4_22
Download citation
DOI: https://doi.org/10.1007/978-3-642-84458-4_22
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-84460-7
Online ISBN: 978-3-642-84458-4
eBook Packages: Springer Book Archive