Influence of tuned mass damper on fixed-free 3D nonlinear beam embedded in nonlinear elastic foundation

Wang, Yiren; Tu, Shu-Chien

doi:10.1007/s11012-016-0372-8

Cited by 1 publication

(2 citation statements)

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“…This is a typical internal resonance phenomenon in a nonlinear system. In the works of Wang and Kuo 17 and Wang and Tu 18 for the hinged-free and fixed-free beams, the 1:3 internal resonance was found in the 1 st and the 2 nd modes. In the present study, a different boundary condition was examined for a hinged-hinged nonlinear beam and a 1:3 internal resonance was found in the 1 st and the 3 rd modes.…”

Section: Internal Resonance Analysis Of Beam Systemmentioning

confidence: 96%

“…They proposed that the locations of the maximum amplitudes between node points in the mode shapes and near the free end of the beam display the best damping effect for the fixed-free 3D beam. In the works of Wang and Kuo 17 and Wang and Tu, 18 the nonlinear geometry and nonlinear inertia were included in these two nonlinear beams. The conditions to trig the internal resonance were also investigated in their researches.…”

Section: Introductionmentioning

confidence: 99%

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Damping Performance of Dynamic Vibration Absorber in Nonlinear Simple Beam with 1:3 Internal Resonance

Wang¹,

Lu²

2017

IJAV

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This study investigated the damping effects of a dynamic vibration absorber (DVA) attached to a hinged-hinged nonlinear Euler-Bernoulli beam. The model constructed in this study was used to simulate suspended nonlinear elastic beam systems or vibrating elastic beam systems on a nonlinear Winkler-type foundation. This makes the modeling in this study applicable to suspension bridges, railway tracks, and even carbon nanotubes. The hinged-hinged beam in this study includes nonlinear stretching effects, which is why we adopted the method of multiple scales (MOMS) to analyze the frequency responses of fixed points in various modes. The use of amplitudes and vibration modes made it possible to examine the internal resonance. Our results indicate that particular elastic foundations or suspension systems can cause 1:3 internal resonance in a beam. The use of 3D maximum amplitude contour plots (3DMACPs) enabled us to obtain a comprehensive understanding of various DVA parameters, including mass, spring coefficient, and the location of DVA on the beam, and thereby combine them for optimal effect. Our results were verified using numerical calculations.

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Section: Internal Resonance Analysis Of Beam Systemmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%