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Research Papers

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

[+] Author and Article Information
Saeid Dousti

Research Assistant
Department of Mechanical
and Aerospace Engineering,
University of Virginia,
122 Engineer's Way,
Charlottesville, VA 22904
e-mail: sd3tx@virginia.edu

Mir Abbas Jalali

Professor
Department of Mechanical Engineering,
Center of Excellence in Design,
Robotics and Automation,
Sharif University of Technology,
Azadi Avenue,
Tehran 37516, Iran
e-mail: mjalali@sharif.edu

1Corresponding author.

Manuscript received July 31, 2011; final manuscript received July 16, 2012; accepted manuscript posted July 25, 2012; published online November 19, 2012. Assoc. Editor: Alexander F. Vakakis.

J. Appl. Mech 80(1), 011019 (Nov 19, 2012) (7 pages) Paper No: JAM-11-1262; doi: 10.1115/1.4007225 History: Received July 31, 2011; Revised July 16, 2012; Accepted July 25, 2012

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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References

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Figures

Grahic Jump Location
Fig. 1

Variation of the dimensionless eigenfrequency ωm,n versus α for in-plane modes. Left and right panels correspond to isotropic and orthotropic disks, respectively. Model parameters have been given in Table 1.

Grahic Jump Location
Fig. 2

Variation of the radial mode shape Umn versus R for the in-plane waves of isotropic (left panels) and orthotropic (right panels) disks of Table 1

Grahic Jump Location
Fig. 3

Same as Fig. 2 but for Vmn(R)

Grahic Jump Location
Fig. 4

In-plane mode-shapes of the orthotropic disk introduced in Table 1. Figures are labeled, from left to right, by the numbers m, n, and Duv.

Grahic Jump Location
Fig. 5

Radial mode shapes Wmn(R) of transverse oscillations. Left and right panels correspond to isotropic and orthotropic disks, respectively. Model parameters have been given in Table 1.

Tables

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