Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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 Nelin. Dinam., 2015, Volume 11, Number 1, Pages 147–168 (Mi nd470)

Limiting performance analysis of shock isolation for transient external disturbances

Nikolay N. Bolotnik, Vseslav A. Korneev

A. Yu. Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences (IPMech RAS), pr. Vernadskogo, 101, block 1, Moscow, 119526, Russia

Abstract: A single-degree-of-freedom model is used to analyze the limiting performance of a shock isolation system for protecting an object on a moving base from impact pulses undergone by the base. The efficiency of the shock isolation as a function of the shape of the impact pulse is studied. By the shape of the impact pulse, the time history of the impact-induced acceleration of the base is understood. The shock isolator is controlled by a force acting between the object and the base. A constraint is imposed on the absolute value of the control force. The maximum absolute value of the displacement of the object relative to the base is used as the performance index of isolation. It is assumed that the shock pulses have finite durations, do not change in the action direction, and may exceed the maximum value allowed for the object's absolute acceleration in one time interval at most. The change in the velocity of the base due to an impact is assumed to be given. It is shown that if the pulse duration is small enough, then, independently of the pulse shape, the control is performed by a constant force from the beginning of the impact pulse to the instant at which the motion of the object relative to the base stops. A class of shock pulses, within which the optimal control and the performance index do not depend on the pulse shape, is singled out. The minimum value of the maximum displacement of the object relative to the base calculated for the constrained control force is studied as a function of the pulse shape for a number of parametric families of pulses.

Keywords: shock isolation, optimal control, limiting performance analysis.

 Funding Agency Grant Number Russian Foundation for Basic Research 14-01-00356 à13-01-00384 à

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UDC: 62-50
MSC: 70Qxx,70Q05
Revised: 17.11.2014

Citation: Nikolay N. Bolotnik, Vseslav A. Korneev, “Limiting performance analysis of shock isolation for transient external disturbances”, Nelin. Dinam., 11:1 (2015), 147–168

Citation in format AMSBIB
\Bibitem{BolKor15} \by Nikolay~N.~Bolotnik, Vseslav~A.~Korneev \paper Limiting performance analysis of shock isolation for transient external disturbances \jour Nelin. Dinam. \yr 2015 \vol 11 \issue 1 \pages 147--168 \mathnet{http://mi.mathnet.ru/nd470} \elib{https://elibrary.ru/item.asp?id=23051494} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. B. Nikolay, K. Vseslav, “Limiting performance of shock isolation systems with anticipated control”, Proceedings of 2016 international conference stability and oscillations of nonlinear control systems (Pyatnitskiy's conference), ed. V. Tkhai, IEEE, 2016
2. N. N. Bolotnik, V. A. Korneev, “Guaranteeing anticipating control in shock isolation problem”, Dokl. Phys., 63:8 (2018), 326–330
3. N. N. Bolotnik, V. A. Korneev, “Shock isolation with anticipating control for external disturbances of various shapes”, J. Comput. Syst. Sci. Int., 57:3 (2018), 390–406
4. V. A. Korneev, “Protection of an object on a movable base using anticipating control under the worst disturbances”, J. Comput. Syst. Sci. Int., 58:1 (2019), 86–94
5. V. A. Korneev, “Optimization of control with anticipation and delay for the problem of the shock isolation of an object on a moving base”, J. Comput. Syst. Sci. Int., 59:3 (2020), 338–346
6. V. A. Korneev, “Use of constant anticipating and delayed control in shock isolation problem applied to an object on a movable base”, Mech. Sol., 55:2 (2020), 277–287
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