Stress distribution in the rim of a rapidly rotating flywheel
Authors:
Abstract
Neglecting the influence of the spokes, we will consider the flywheel as a ring with a circular meridional cross-section (Fig. 1). Let r1 be the cross-section radius; r2 be the radius of the circle containing the cross-section centers. We will take the oz axis as the axis of rotation and assume that the angular velocity is constant and sufficiently large. Using the kinetostatic method, we will apply an inertial force to each element of the rod and determine its elastic equilibrium. To simplify the boundary conditions, we will move to bipolar coordinates.
Область исследования:
Mining
Keywords:
flywheel
References
- Bulgakov N. Distribution of Electric Charge on a Ring, 1903.
- Papkovich P.F. Theory of Elasticity, 1939.
- Smirnov V.I. Course in Higher Mathematics, Vol. III, 1949.
- Fock V.A. Skin Effect in a Ring of Circular Cross Section, Journal of the Russian Physical-Chemical Society, Vol. XII, Issue 3, 1930.
- Hicks W. Foroidal Functions, Phil. Frans. Roy. Soc., 1881.
- Newnan C. Theory of Electricity and Warming in a Ring, 1864.
- Neuber H. Kerbspanungslehre Grundlagett für genaus Spannungrechnung, 1937.
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