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      • Department of Mechanical Engineering
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      Energy equipartition and frequency distribution in complex attachments

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      Author
      Roveri, N.
      Carcaterra, A.
      Akay, A.
      Date
      2009
      Source Title
      Journal of the Acoustical Society of America
      Print ISSN
      0001-4966
      Publisher
      Acoustical Society of America
      Volume
      126
      Issue
      1
      Pages
      122 - 128
      Language
      English
      Type
      Article
      Item Usage Stats
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      Abstract
      As reported in several recent publications, an undamped simple oscillator with a complex attachment that consists of a set of undamped parallel resonators can exhibit unusual energy sharing properties. The conservative set of oscillators of the attachment can absorb nearly all the impulsive energy applied to the primary oscillator to which it is connected. The key factor in the ability of the attachment to absorb energy with near irreversibility correlates with the natural frequency distribution of the resonators within it. The reported results also show that a family of optimal frequency distributions can be determined on the basis of a variational approach, minimizing a certain functional related to the system response. The present paper establishes a link between these optimal frequency distributions and the energy equipartition principle: optimal frequency distributions are those that spread the injected energy as uniformly as possible over the degrees of freedom or over the modes of the system. Theoretical as well as numerical results presented support this point of view. © 2009 Acoustical Society of America.
      Keywords
      Degrees of freedom
      Energy equipartition
      Energy sharings
      Frequency distributions
      Injected energy
      Key factors
      Numerical results
      Optimal frequency
      System response
      Variational approaches
      Oscillators (electronic)
      Resonators
      Optimization
      Permalink
      http://hdl.handle.net/11693/22660
      Published Version (Please cite this version)
      http://dx.doi.org/10.1121/1.3147502
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