Active wave control for flexible structures using fractional calculus

Abstract

Recently, active wave control theory has attracted great interest as a novel method for vibration control of large space structure (LSS). The method can be applied to suppress vibration in large flexible structures that have high modal density, even for relatively low frequencies. In this report, we formulate a feedback-type active wave control law, described as a transfer function including a Laplace transform with an s1/2 or s 3/2 term. As an example, we present the fractional-order derivatives and integrals of structural responses in the vibration suppression of a thin, light cantilevered beam. © 2007 Springer.