Shock and Vibration

Shock and Vibration / 2008 / Article
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The International Conference on Engineering Dynamics 2007

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Volume 15 |Article ID 741205 | https://doi.org/10.1155/2008/741205

J.B. Cardoso, P.P. Moita, A.J. Valido, "Design and Control of Nonlinear Mechanical Systems for Minimum Time", Shock and Vibration, vol. 15, Article ID 741205, 9 pages, 2008. https://doi.org/10.1155/2008/741205

Design and Control of Nonlinear Mechanical Systems for Minimum Time

Received29 Apr 2007
Revised29 Apr 2007

Abstract

This paper presents an integrated methodology for optimal design and control of nonlinear flexible mechanical systems, including minimum time problems. This formulation is implemented in an optimum design code and it is applied to the nonlinear behavior dynamic response. Damping and stiffness characteristics plus control driven forces are considered as decision variables. A conceptual separation between time variant and time invariant design parameters is presented, this way including the design space into the control space and considering the design variables as control variables not depending on time. By using time integrals through all the derivations, design and control problems are unified. In the optimization process we can use both types of variables simultaneously or by interdependent levels. For treating minimum time problems, a unit time interval is mapped onto the original time interval, then treating equally time variant and time invariant problems. The dynamic response and its sensitivity are discretized via space-time finite elements, and may be integrated either by at-once integration or step-by-step. Adjoint system approach is used to calculate the sensitivities.

Copyright © 2008 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.


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