Uniform Exponential Stabilization for Flexural Vibrations of a Solar Panel

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2011Publisher:Scientific Research Publishing, Inc.Journal:Applied Mathematics, volume 2, pages 661-665 (issn: 2152-7385, eissn: 2152-7393,

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Authors: Prasanta Kumar Nandi; Ganesh Chandra Gorain; Samarjit Kar;

doi: 10.4236/am.2011.26087

Uniform Exponential Stabilization for Flexural Vibrations of a Solar Panel

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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.

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Maulana Azad National Institute of Technology
India

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