This paper is concerned with the vibration of a two degree-of-freedom (2DOF) nonlinear system subjected to multiparametric excitation forces. The vibrating motion of the system is described by the coupled differential equations having both quadratic and cubic terms. The aim of this work is to use a nonlinear absorber to control the vibration of the nonlinear system near the simultaneous subharmonic and internal resonances, where the vibrations are severe. Multiple scale perturbation technique (MSPT) is applied to obtain the averaged equations up to the second-order approximation. The steady-state response and their stability are studied numerically for the nonlinear system at the simultaneous subharmonic and internal resonances. Some recommendations regarding to the different system parameters are given following studying the effects of various parameters. Comparison with the available published work is made.
Vibration Suppression of Subharmonic Resonance Response Using a Nonlinear Vibration Absorber
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received January 29, 2014; final manuscript received July 31, 2014; published online January 30, 2015. Assoc. Editor: Paul C.-P. Chao.
- Views Icon Views
- Share Icon Share
- Cite Icon Cite
- Search Site
EL-Sayed, A. T., and Bauomy, H. S. (April 1, 2015). "Vibration Suppression of Subharmonic Resonance Response Using a Nonlinear Vibration Absorber." ASME. J. Vib. Acoust. April 2015; 137(2): 024503. https://doi.org/10.1115/1.4029268
Download citation file:
- Ris (Zotero)
- Reference Manager