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On the use of the phase closure principle to calculate the natural frequencies of a rod or beam with nonlinear boundaries

  • Published:2018-10 Issue: Volume:433 Page:461-475
  • ISSN:0022-460X
  • Container-title:Journal of Sound and Vibration
  • language:en
  • Short-container-title:Journal of Sound and Vibration

Author:

Tang Bin,Brennan Michael J.,Manconi Elisabetta

Funder

National Natural Science Foundation of China

Central Universities of China

FAPESP

CNPq

Publisher

Elsevier BV

Subject

Mechanical Engineering,Mechanics of Materials,Acoustics and Ultrasonics,Condensed Matter Physics

Reference26 articles.

1. Nonlinear Oscillations;Nayfeh,1995

2. The Duffing Equation: Nonlinear Oscillators and Their Behaviour;Kovacic,2011

3. Truly Nonlinear Oscillations: Harmonic Balance, Parameter Expansions, Iterations, and Averaging Methods;Mickens,2010

4. Fundamentals of Acoustics;Kinsler,2000

5. The derivation of eigenvalues and mode shapes for the bending motion of a damped beam with general end conditions;Zarek;J. Sound Vib.,1981
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