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      Uncertainty and dissipation

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      Author
      Carcaterra, A.
      Akay, Adnan
      Date
      2012-09
      Source Title
      Proceedings of ISMA 2012 International Conference on Noise and Vibration Engineering
      Publisher
      Katholieke Universiteit Leuven
      Volume
      6
      Pages
      4761 - 4775
      Language
      English
      Type
      Conference Paper
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      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 uncertainties in the system's natural frequencies is discussed and a remarkable statistical property of the natural frequency is derived for 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 distribution, the conservative system shows an unexpected decaying impulse response. © (2012) by the Katholieke Universiteit Leuven Department of Mechanical Engineering All rights reserved.
      Keywords
      Impulse response
      Linear systems
      Probability density function
      Structural dynamics
      Conservative systems
      Energy confinement
      Frequency distributions
      Mechanical structures
      Special class
      Statistical properties
      Natural frequencies
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      http://hdl.handle.net/11693/28236
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