Dynamic Deformation Analysis of Rotating Discs : Influences of Circumferential Displacements on Radial Ones : Solid-Mechanics, Strength of Materials

抄録

The equation of motion in the radial direction for a rotating disc contains the product of the circumferential displacement and the angular acceleration of the disc. It is theorized that circumferential deformation has a considerable influence on radial displacement as the angular acceleration increases. This influence is discussed in this paper. Adopting the cyclically-varying rotation given by ω^^-(t^^-)=Ω^^-₁ sin (Ω^^-₂t^^-), Ω^^-₁, Ω^^-₂ : constants ; the displacements are computed for various values of Ω^^-₂. The maximum amplitudes, Δu^^- and Δu^^-', for the radial displacements with and without the circumferential deformation are discussed with respect to a non-dimensional quantity, ζ=Ω^^-₂/Ω^^-₁.