For the crashworthiness analysis of transport vehicles a three-component system that consists of a base, a container, and an object to be protected, connected by shock isolators, can be utilized as a model. An approach for a limiting performance analysis of shock isolation for such a model is proposed. This approach involves the reduction of the optimal control problem for the three-component system to an auxiliary optimal control problem for a two-component system. A detailed description of the technique for the determination of the absolute minimum of the performance index and construction of the optimal control is presented. A proposition that provides a mathematical substantiation for this technique is stated and proven. Example problems included in the paper demonstrate the effectiveness of the proposed technique.
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e-mail: balandin@pmk.unn.runnet.ru
e-mail: bolotnik@ipmnet.ru
e-mail: wdp@virginia.edu
e-mail: pusv@virginia.edu
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September 2005
Technical Papers
Impact Isolation Limiting Performance Analysis for Three-Component Models
Dmitry V. Balandin,
Dmitry V. Balandin
Department of Computational Mathematics and Cybernetics,
e-mail: balandin@pmk.unn.runnet.ru
Nizhny Novgorod State University
, 23 Gagarin ave, Nizhny Novgorod, 603950, Russia
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Nikolai N. Bolotnik,
e-mail: bolotnik@ipmnet.ru
Nikolai N. Bolotnik
Institute for Problems in Mechanics of the Russian Academy of Sciences
, 101-1, prosp. Vernadskogo, Moscow, 119526, Russia
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Walter D. Pilkey,
Walter D. Pilkey
Mechanical and Aerospace Engineering Department,
e-mail: wdp@virginia.edu
University of Virginia
, 122 Engineer’s Way, Charlottesville, VA 22904-4746
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Sergey V. Purtsezov
Sergey V. Purtsezov
Mechanical and Aerospace Engineering Department,
e-mail: pusv@virginia.edu
University of Virginia
, 122 Engineer’s Way, Charlottesville, VA 22904-4746
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Dmitry V. Balandin
Department of Computational Mathematics and Cybernetics,
Nizhny Novgorod State University
, 23 Gagarin ave, Nizhny Novgorod, 603950, Russiae-mail: balandin@pmk.unn.runnet.ru
Nikolai N. Bolotnik
Institute for Problems in Mechanics of the Russian Academy of Sciences
, 101-1, prosp. Vernadskogo, Moscow, 119526, Russiae-mail: bolotnik@ipmnet.ru
Walter D. Pilkey
Mechanical and Aerospace Engineering Department,
University of Virginia
, 122 Engineer’s Way, Charlottesville, VA 22904-4746e-mail: wdp@virginia.edu
Sergey V. Purtsezov
Mechanical and Aerospace Engineering Department,
University of Virginia
, 122 Engineer’s Way, Charlottesville, VA 22904-4746e-mail: pusv@virginia.edu
J. Dyn. Sys., Meas., Control. Sep 2005, 127(3): 463-471 (9 pages)
Published Online: November 17, 2004
Article history
Received:
May 12, 2004
Revised:
October 16, 2004
Accepted:
November 17, 2004
Citation
Balandin, D. V., Bolotnik, N. N., Pilkey, W. D., and Purtsezov, S. V. (November 17, 2004). "Impact Isolation Limiting Performance Analysis for Three-Component Models." ASME. J. Dyn. Sys., Meas., Control. September 2005; 127(3): 463–471. https://doi.org/10.1115/1.1978914
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