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Introducing Entropy for the Statistical Energy Analysis of an Artificially Damped Oscillator

[+] Author Affiliations
Dante A. Tufano, Zahra Sotoudeh

Rensselaer Polytechnic Institute, Troy, NY

Paper No. IMECE2015-50591, pp. V013T16A012; 10 pages
doi:10.1115/IMECE2015-50591
From:
  • ASME 2015 International Mechanical Engineering Congress and Exposition
  • Volume 13: Vibration, Acoustics and Wave Propagation
  • Houston, Texas, USA, November 13–19, 2015
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-5756-4
  • Copyright © 2015 by ASME

abstract

The purpose of this paper is to introduce the concept of entropy for a main resonator attached to a “fuzzy structure”. This structure is described explicitly using the Lagrangian method, and is treated as a layer of discrete resonators. A generic entropy formulation is then developed for the layer of resonators, which is used to determine the individual oscillator entropies. The combined entropy of the linear resonator system is then determined and compared numerically to the sum of the individual oscillator entropies. The entropy behavior of the system is then related to the energy behavior of the system and explained in regards to the the “artificial damping” of the main resonator.

Copyright © 2015 by ASME
Topics: Entropy

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