This paper proves the well-posedness and uniform stabilization of a nonlinear coupled system. We estimate the energy decay rate by using the multiplier method.
Vibration absorption in systems with a nonlinear energy sink: Nonlinear damping
โ Scribed by Y. Starosvetsky; O.V. Gendelman
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 1009 KB
- Volume
- 324
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
In this work, response regimes are investigated in a system comprising of a linear oscillator (subject to harmonic excitation) and a nonlinear energy sink (NES) with nonlinear damping characteristics. An analytical technique for the treatment of certain class of nonlinear damping functions is developed. Special attention is paid to the case of piecewisequadratic damping, motivated by possible applications. It is demonstrated that the NES with a properly tuned piecewisequadratic damping element allows complete elimination of undesirable periodic regimes. In this way, an efficient system of vibration absorption is obtained, and its performance can overcome that of a tuned mass damper (TMD). Numerical results agree satisfactorily with the analytical predictions.
๐ SIMILAR VOLUMES
## Abstract In this paper we are concerned with a nonlinear viscoelastic equation with nonlinear damping. The general uniform decay of the energy is obtained. Copyright ยฉ 2008 John Wiley & Sons, Ltd.
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