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Minimum-variance-response and irreversible energy confinement

  • A. Carcaterra
Part of the IUTAM Bookseries book series (IUTAMBOOK, volume 27)

Abstract

This paper discusses the question of the energy confinement in mechanical structures in the light of the uncertainties affecting the natural frequencies of the system. More precisely, recent studies have shown that energy can be introduced to a linear system with near irreversibility, or energy within a system can migrate to a subsystem nearly irreversibly, even in the absence of dissipation, provided that the system has a particular natural frequency distribution. In this paper the case of uncertainty in the system’s natural frequency is discussed and a remarkable statistical property of the natural frequency is derived for a permanent energy confinement within a part of the system. The results demonstrate the existence of a special class of linear non-dissipative dynamic systems that exhibit nearly-irreversible energy confinement-IEC if they satisfy a minimum-variance-response-MIVAR property. In this case, if the probability density function of the natural frequencies has a special shape, the conservative system shows an unexpected decaying impulse response.

Keywords

Probability Density Function Impulse Response Acoustical Society Frequency Response Function Energy Confinement 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  • A. Carcaterra
    • 1
  1. 1.Department of Mechanics and AeronauticsUniversity of RomeRomeItaly

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