Application of the Amplitude-Frequency Formulation to a Nonlinear Vibration System Typified by a Mass Attached to a Stretched Wire

He’s amplitude–frequency formulation is applied to study the periodic solutions of a strongly nonlinear system. This system corresponds to the motion of a mass attached to a stretched wire. The usefulness and effectiveness of the proposed technique is illustrated. The results are compared with exact...

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Bibliographic Details
Published in:International applied mechanics 2014-07, Vol.50 (4), p.476-483
Main Authors: Akbarzade, M., Farshidianfar, A.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Classical Mechanics
Physics
Physics and Astronomy
Vibration
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Summary:He’s amplitude–frequency formulation is applied to study the periodic solutions of a strongly nonlinear system. This system corresponds to the motion of a mass attached to a stretched wire. The usefulness and effectiveness of the proposed technique is illustrated. The results are compared with exact solutions and those obtained by the harmonic balance. Approximate frequencies are valid in the entire range of vibration amplitudes. The agreement between the approximate and exact frequencies is demonstrated and discussed
ISSN:1063-7095
1573-8582
DOI:10.1007/s10778-014-0650-x