Time-averaged canonical perturbation of nonlinear vibrations of a spinning disk

Baddour, Natalie; Zu, Jean W.

doi:10.1016/j.nonrwa.2005.03.004

Cited by 1 publication

(1 citation statement)

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“…The analytical solutions for the linearized in-plane vibrations of spinning disks was introduced by Baddour and Zu [19] who extended their analysis to nonlinearly coupled in-plane and transverse vibrations. They concluded that keeping the effect of in-plane inertias can lead to internal resonance between the in-plane and transverse modes, depending on the distribution of natural frequencies [20,21]. In this study, we formulate the full nonlinear vibration problem of spinning disks fabricated from orthotropic composite materials.…”

Section: Introductionmentioning

confidence: 99%

In-Plane and Transverse Eigenmodes of High-Speed Rotating Composite Disks

Dousti

Jalali

2012

Journal of Applied Mechanics

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We apply Hamilton's principle and model the coupled in-plane and transverse vibrations of high-speed spinning disks, which are fiber-reinforced circumferentially. We search for eigenmodes in the linear regime using a collocation scheme, and compare the mode shapes of composite and isotropic disks. As the azimuthal wavenumber varies, the radial nodes of in-plane waves are remarkably displaced in isotropic disks while they resist such displacements in composite disks. The reverse of this phenomenon happens for transversal waves and the radial nodes move toward the outer disk edge as the azimuthal wavenumber is increased in composite disks. This result is in accordance with the predictions of Nowinski's theory, and therefore, it is independent of the magnitude of the spinning velocity and the mode frequency. Although there are notable differences between the form of governing equations derived from Hamilton's principle and Nowinski's theory, transverse eigenmodes differ a little in the two approaches. We argue that the application of orthotropic composites as the core material of the next generation of hard disk drives, together with an angular velocity controller, can enhance the data access rate.

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Section: Introductionmentioning

confidence: 99%