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Shock and Vibration
Volume 1, Issue 2, Pages 135-144

On Maximum Energy of Mechanical Systems Under Shock Disturbances

Dimitry V. Balandin

Research Institute for Applied Mathematics and Cybernetics, Nizhni Novgorod State University, N.I. Lobatchevsky, 10 Uljanova Str., Nizhni Novgorod, 603005, Russia

Copyright © 1993 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In this article, we develop a method for estimating the maximum energy of a mechanical system subjected to disturbances whose integral absolute value is bounded. The conditions for this estimate to be exact are found. The method is demonstrated by calculating the maximal displacement in a second-order nonlinear system.