Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
in January 1966
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IssuesArchive of Issues2004-2pp.22-29

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V. A. Prourzin, "A problem of optimal shock isolation of elastic objects," Mech. Solids. 39 (2), 22-29 (2004)
Year 2004 Volume 39 Number 2 Pages 22-29
Title A problem of optimal shock isolation of elastic objects
Author(s) V. A. Prourzin (St. Petersburg)
Abstract A problem of optimal shock isolation of elastic mechanical objects is stated and investigated. The mechanical model of the object is represented by a set of linear oscillators attached to a common platform. The peak displacement of the platform is required to be minimized by the choice of the control force of the isolator, provided that the maximum response spectrum of the oscillators is constrained. It is shown that the shock isolation problem for any elastic object in the case of translational motion can be reduced to the aforementioned statement. A solution is constructed in the case where the maximum response spectrum is constrained uniformly.
References
1.  V. V. Guretskii, "On one problem of optimal control," Izv. AN SSSR. Mekhanika, No. 1, pp. 159-162, 1965.
2.  N. N. Bolotnik, Optimization of Shock and Vibration Isolation System [in Russian], Nauka, Moscow, 1983.
3.  D. V. Balandin, N. N. Bolotnik, and W. D. Pilkey, Optimal Protection from Impact, Shock, and Vibration, Gordon and Breach, Amsterdam, 2001.
4.  C. M. Harris and C. E. Crede (Editors), Shock and Vibration Handbook [Russian translation], Sudostroenie, Leningrad, 1980.
5.  K. V. Frolov (Editor), Vibration in Engineering: a Handbook. Volumes 5 and 6 [in Russian], Mashinostroenie, Moscow, 1981.
6.  S. P. Timoshenko, D. H. Young, and W. Weaver, Vibration Problems in Engineering [Russian translation], Mashinostroenie, Moscow, 1985.
Received 18 June 2001
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