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research-article

Entropy for Strongly Coupled Oscillators

[+] Author and Article Information
Dante Tufano

M.A.N.E. Department, Rensselaer Polytechnic Institute, Troy, NY 12180
tufand@rpi.edu

Zahra Sotoudeh

Department of Aerospace Engineering, California State Polytechnic Institute, Pomona, CA 91768
zahra.vpi@gmail.com

1Corresponding author.

ASME doi:10.1115/1.4037142 History: Received April 22, 2017; Revised May 24, 2017

Abstract

This paper examines an approach to determining the entropy of coupled oscillators that does not rely on the assumption of weak coupling. The results of this approach are compared to the results for a weakly coupled system. It is shown that the results from each methodology agree in the case of weak coupling and that a correction term is required for moderate to strong coupling. The correction term is shown to be related to the mixed energy term from the coupling spring as well as the geometry {and stiffness} of the system. Numerical simulations are performed for a symmetric system of identical coupled oscillators and an asymmetric system of nonidentical oscillators to demonstrate these findings.

Copyright (c) 2017 by ASME
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