Vibration and buckling of rotating flexible rods at transitional parameter values
โ Scribed by W. D. Lakin; A. Nachman
- Publisher
- Springer
- Year
- 1979
- Tongue
- English
- Weight
- 346 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0022-0833
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โฆ Synopsis
We consider the connection between vibration and buckling problems for a uniform flexible rod which is clamped at one end and rotates in a plane perpendicular to the axis of rotation. The rod is assumed off-clamped, i.e. the axis of rotation does not pass through the rod's clamped end. The resulting fourth-order boundary value problem with a turning point for the free vibrations is solved using uniform approximations in a transitional parameter range where high rotation rates balance small off-clampings. Second approximations to the vibration eigenvalues are used to determine critical buckling rotation rates for the slightly off-clamped rods. Buckling is unexpected in this situation as the rod is wholly under tension.
๐ SIMILAR VOLUMES
The laser excitation spectrum of jet-cooled NbO in the region 16 000-18 000 cm -1 has been recorded at high resolution, giving rotational and hyperfine constants for the levels v = 0-3 of the B 4 state and v = 1 of the X 4 -state; zero gaps have also been measured at low resolution for some weaker b