scholarly journals Nonlinear Vibration Analysis for a Simply Supported Beam Elastically Colliding with Clamped Springs at Arbitrary Locations

2017 ◽  
Vol 5 (1) ◽  
pp. 42-45
Author(s):  
Tatsuhito Aihara ◽  
Keyword(s):  
Nonlinear Vibration ◽  
Vibration Analysis ◽  
Simply Supported Beam ◽  
Simply Supported

scholarly journals Multi-level residue harmonic balance method for nonlinear vibration of the beam

2021 ◽  
pp. 146134842110384
Author(s):  
Abu SMZ Hasan ◽  
M S Rahman
Keyword(s):  
Dynamic System ◽  
Nonlinear Vibration ◽  
Nonlinear Dynamic ◽  
Harmonic Balance ◽  
Harmonic Balance Method ◽  
Nonlinear Dynamic System ◽  
Balance Method ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
Multi Level

This study presents the nonlinear vibration and chaotic response of a beam subjected to harmonic excitation. The multi-level residue harmonic balance method is applied to solve the geometrically cubic nonlinear vibration of the simply supported beam. The obtained results agree well with those of the numerical integration method. The amplitude frequency response curves are presented to illustrate the nonlinear dynamic system response both for a damping and without damping model. Also, the chaotic response is examined for a simply supported beam with a nonlinear dynamic system.

Review of the Nonlinear Vibration Analysis of Simply Supported Beams

2012 ◽  
Vol 446-449 ◽  
pp. 626-629 ◽  
Author(s):  
Wen Bin Sun ◽  
Wei Zhong He
Keyword(s):  
Nonlinear Vibration ◽  
Large Amplitude ◽  
Vibration Analysis ◽  
Complete Understanding ◽  
Simply Supported ◽  
Amplitude Vibration ◽  
Large Amplitude Vibration

The research of large amplitude vibration of simply supported beams can be dated back to 1950; many achievements and some evolution were accomplished by many researchers over hundred and fifty years. The development of nonlinear vibration formulations for beams has gone through distinct phases–earlier continuum solutions, development of appropriate forms, extra-variational simplifications, debate and discussions, variationally correct formulations and finally applications. A review of work in each of these phases is very necessary in order to have a complete understanding of the process of evolution of this field. This paper attempts to achieve precisely this objective.

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