周期的回転負荷を受ける中実円板の動的応力解析

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^^-_1sin(Ω^^-_2t^^-) (Ω^^-_0, Ω^^-_1, Ω^^-_2: constants). The radial displacement and stress components are derived from a general solution for a solid disc, whch was obtained previously by the author. A dynamic solution leads to the existence of two kinds of resonance circular frequencies. For Ω^^-_1≠0 and Ω^^-_0=0, the resonance circular frequency Ω^^-_2 agrees with a 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 with both cases, λ_n and λ_n/2. It is finally discussed how the circular frequency Ω^^-_2 has influence on the stress components and their distribution.
一般社団法人日本機械学会の論文
1986-01-25