DYNAMIC STRESS ANALYSIS OF A ROTATING SOLID DISC SUBJECTED TO CYCLIC ROTATIONS
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概要
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This paper presents an analysis of the dynamic stress in a solid disc subjected to cyclically varying rotations with respect to time, that is , Ω^^- (t^^-) = Ω^^-_0 + Ω^^-_1 sin(Ω^^-_2 t^^-) (Ω^^-_0, Ω^^-_1, Ω^^-_2 : constants) The radial displacement and stress components are derived from a general solution for a solid disc, which was obtained previously by the author. A dynamic solution leads to the existence of the two kinds of resonance circular frequencies. For Ω^^-_1≠0 and Ω^^-_0=0, the resonance circular frequency Ω^^-_2 agrees with half of λ_n which corresponds to the eigen-circular frequencies for in -plane vibrations of rotating discs. for Ω^^-_1 ≠0 and Ω^^-_0≠0, Ω^^-_2 agrees in both cases, λ_n and λ_n/2. It is finally discussed how the circular frequency Ω^^-_2 influences the stress components and their distributions.
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