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Instabilities of Highly Anisotropic Spinning Disks

Department of Mathematics, University of Glasgow

^* To whom correspondence should be addressed. E-mail: c.coman{at}maths.gla.ac.uk.

	Abstract

This work investigates the asymptotic structure of a boundary-value problem proposed recently in connection with in-plane instabilities of spinning disks. Assuming an orthotropic elastic material with cylindrical symmetry we consider a perturbation with respect to the constitutive behavior. The material is assumed to be very stiff in the azimuthal direction, a situation which is commonly encountered in the case of composite flywheels based on hoop-wound carbon fibers in a flexible polyurethane resin. The accuracy of the asymptotic strategy is confirmed by a number of direct computer simulations of the original problem.

First published on October 22, 2009
Mathematics and Mechanics of Solids 2009, doi:10.1177/1081286509349964


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