TITLE:
Uniform Exponential Stabilization for Flexural Vibrations of a Solar Panel
AUTHORS:
Prasanta Kumar Nandi, Ganesh Chandra Gorain, Samarjit Kar
KEYWORDS:
Solar Panel, Hybrid System, Flexural Vibrations, Uniform Exponential Stabilization, Energy
Decay Estimate
JOURNAL NAME:
Applied Mathematics,
Vol.2 No.6,
June
21,
2011
ABSTRACT: Here we study a problem of stabilization of the flexural vibrations or transverse vibrations of a rectangular solar panel. The dynamics of vibrations is governed by the fourth order Euler-Bernoulli beam equation. One end of the panel is held by a rigid hub and other end is totally free. Due to attachment of the hub, its dynamics leads to a non-standard equation. The exponential stabilization of the whole system is achieved by applying an active boundary control force only on the rigid hub. The result of uniform stabilization is obtained by means of an explicit form of exponential energy decay estimate.