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  1. Journal of Computer and Systems Sciences International
  2. Journal of Computer and Systems Sciences International : Volume 48
  3. Journal of Computer and Systems Sciences International : Volume 48, Issue 2, April 2009
  4. Optimal shock isolation of a two-component viscoelastic object
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Journal of Computer and Systems Sciences International : Volume 48
Journal of Computer and Systems Sciences International : Volume 48, Issue 6, December 2009
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Journal of Computer and Systems Sciences International : Volume 48, Issue 4, August 2009
Journal of Computer and Systems Sciences International : Volume 48, Issue 3, June 2009
Journal of Computer and Systems Sciences International : Volume 48, Issue 2, April 2009
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Optimal shock isolation of a two-component viscoelastic object
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Journal of Computer and Systems Sciences International : Volume 48, Issue 1, February 2009
Journal of Computer and Systems Sciences International : Volume 47
Journal of Computer and Systems Sciences International : Volume 46
Journal of Computer and Systems Sciences International : Volume 45

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Optimal shock isolation of a two-component viscoelastic object

Content Provider Springer Nature Link
Author Balandin, D. V. Bolotnik, N. N.
Copyright Year 2009
Abstract A limiting performance of shock isolation is studied for an object modeled by two rigid bodies connected by a viscoelastic element with a linear characteristic. The object is attached to a movable base by means of a shock isolator, which is regarded as a device that produces a control force between the base and the object. The base and the object move along the same straight line. The base is subject to an external shock excitation that is characterized by the time history of the acceleration of the base. A control law is defined for the shock isolator to minimize the maximum magnitude of the displacement of the object relative to the base, provided that the force of interaction between the components of the object does not exceed a prescribed value. An algorithm for constructing the exact solution of the problem under certain assumptions is presented. A technique for constructing an approximate solution for an object having high stiffness is described. The optimal control is shown to have impulse components. Examples are given. The two-component model considered in the paper is known to have been utilized to describe the mechanical response of a human body to a shock load along the spine or from thorax to back. Therefore, the problem under consideration can be regarded as a benchmark optimal control problem for a system that protects from injuries cased by shock loads. Solution of such problems is highly topical for development of safety systems for vehicles.
Starting Page 206
Ending Page 219
Page Count 14
File Format PDF
ISSN 10642307
Journal Journal of Computer and Systems Sciences International
Volume Number 48
Issue Number 2
e-ISSN 15556530
Language English
Publisher SP MAIK Nauka/Interperiodica
Publisher Date 2009-05-07
Publisher Place Dordrecht
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Control Robotics Mechatronics
Content Type Text
Resource Type Article
Subject Applied Mathematics Theoretical Computer Science Computer Networks and Communications Control and Systems Engineering Information Systems Computer Vision and Pattern Recognition Software
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