Inicio  /  Applied Sciences  /  Vol: 12 Par: 6 (2022)  /  Artículo
ARTÍCULO
TITULO

Effects of Nonlinear Damping on Vibrations of Microbeam

Kun Huang    
Tianpeng Li    
Wei Xu and Liang Cao    

Resumen

The present paper develops a new Bernoulli?Euler theory of microbeams for the consideration of small-scale effects and nonlinear terms, which are induced by the axial elongation of the beam and Kelvin?Voigt damping. The non-resonance and primary resonance of microbeams are researched through the application of Galerkin and multiple scale methods to the new model. The results suggest the following: (1) Nonlinear damping slightly affects the vibration amplitudes under the non-resonance condition; (2) nonlinear damping can significantly change the bifurcation points that induce a jump in the vibration amplitudes under the primary resonance condition. The current researches indicate that nonlinear damping is necessary for an accurate description of microbeam vibrations.

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