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Analysis of Nonlinear Thermoelastic Dissipation in Euler-Bernoulli Beam Resonators

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  • Zahra Nourmohammadi
  • Surabhi Joshi
  • Srikar Vengallatore

Abstract

The linear theory of thermoelastic damping (TED) has been extensively developed over the past eight decades, but relatively little is known about the different types of nonlinearities that are associated with this fundamental mechanism of material damping. Here, we initiate the study of a dissipative nonlinearity (also called thermomechanical nonlinearity) whose origins reside at the heart of the thermomechanical coupling that gives rise to TED. The finite difference method is used to solve the nonlinear governing equation and estimate nonlinear TED in Euler-Bernoulli beams. The maximum difference between the nonlinear and linear estimates ranges from 0.06% for quartz and 0.3% for silicon to 7% for aluminum and 28% for zinc.

Suggested Citation

  • Zahra Nourmohammadi & Surabhi Joshi & Srikar Vengallatore, 2016. "Analysis of Nonlinear Thermoelastic Dissipation in Euler-Bernoulli Beam Resonators," PLOS ONE, Public Library of Science, vol. 11(10), pages 1-6, October.
  • Handle: RePEc:plo:pone00:0164669
    DOI: 10.1371/journal.pone.0164669
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