In this paper we study the steady-state deflection of a spinning nonflat disk, both theoretically and experimentally. Both the initial and the deformed shapes of the disk are assumed to be axisymmetrical. Von Karman’s plate model is adopted to formulate the equations of motion, and Galerkin’s method is employed to discretize the partial differential equations. In the case when the initial height of the nonflat disk is sufficiently large, multiple equilibrium positions can exist, among them the two stable one-mode solutions and are of particular interest. Theoretical investigation shows that if the disk is initially in the stressed position , it will be snapped to position when the rotation speed reaches a critical value. Experiments on a series of copper disks with different initial heights are conducted to verify the theoretical predictions. Generally speaking, the experimental measurements agree well with theoretical predictions when the initial height is small. For the disks with large initial heights, on the other hand, the measured snapping speeds are significantly below the theoretical predictions. The circumferential waviness of the copper disks induced in the manufacturing process and the aerodynamic force at high rotation speed are two possible factors causing this discrepancy.
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e-mail: jschen@ccms.ntu.edu.tw
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November 2005
Technical Papers
Axisymmetrical Snapping of a Spinning Nonflat Disk
Jen-San Chen,
Jen-San Chen
Professor
Department of Mechanical Engineering,
e-mail: jschen@ccms.ntu.edu.tw
National Taiwan University
, Taipei, Taiwan 10617 R.O.C.
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Chi-Chung Lin
Chi-Chung Lin
Graduate Student
Department of Mechanical Engineering,
National Taiwan University
, Taipei, Taiwan 10617 R.O.C.
Search for other works by this author on:
Jen-San Chen
Professor
Department of Mechanical Engineering,
National Taiwan University
, Taipei, Taiwan 10617 R.O.C.e-mail: jschen@ccms.ntu.edu.tw
Chi-Chung Lin
Graduate Student
Department of Mechanical Engineering,
National Taiwan University
, Taipei, Taiwan 10617 R.O.C.J. Appl. Mech. Nov 2005, 72(6): 879-886 (8 pages)
Published Online: March 5, 2005
Article history
Received:
June 3, 2004
Revised:
March 5, 2005
Citation
Chen, J., and Lin, C. (March 5, 2005). "Axisymmetrical Snapping of a Spinning Nonflat Disk." ASME. J. Appl. Mech. November 2005; 72(6): 879–886. https://doi.org/10.1115/1.2043188
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