Dynamic response of a beam carrying a lumped mass along its span

被引:0
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作者
M. G. Sfahani
A. Barari
S. S. Ganji
G. Domairry
Houman B. Rokni
机构
[1] Babol University of Technology,Department of Structural Engineering, Faculty of Civil Engineering
[2] Aalborg University,Department of Civil Engineering
[3] Islamic Azad University,Young Researchers Club, Science and Research Branch
[4] Babol University of Technology,Department of Mechanical Engineering
关键词
Nonlinear vibration; Conservative oscillator; Analytical approaches; Energy balance; Variational; Harmonic balance; Equivalent linearization;
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摘要
In this paper, we study the periodic solutions for the free vibration of a conservative oscillator with fifth-order nonlinearity using two new methods, the energy balance method and the variational approach. We compare the results obtained with those yielded by the traditional harmonic balance method and equivalent linearization–nonlinearization method. The periodic solutions are then verified using the Runge–Kutta approach.
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页码:1435 / 1443
页数:8
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