Asymptotic frequency distributions for variable coefficients Rayleigh beams under boundary feedback control

Jun-Min Wang Jun-Min Wang,Siu-Pang Yung Siu-Pang Yung,Quoc-Phong Vu Quoc-Phong Vu

doi:10.1109/acc.2003.1238923

Jun-Min Wang Jun-Min Wang, Siu-Pang Yung Siu-Pang Yung + Show 1 more

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https://doi.org/10.1109/acc.2003.1238923

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Publication Date: Jun 4, 2003
Citations: 8	License type: cc-by-nc-nd

Affiliation: University of Hong Kong, Ohio University

Abstract

The analysis of the boundary damping rate for eigenmodes of a Rayleigh Beam with variable coefficients is usually difficult because explicit solution formula are hard to come by. In this paper, by using the estimating devices of , we can carry out an asymptotic analysis and conclude that there is a uniform damping rate for the high frequency modes. As a result, Riesz basis property and exponential stability can be deduced and a conjecture in is settled.

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