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Dynamic stability of thin walled beams under traveling horizontal follower load systems

✍ Scribed by T. Aida

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
618 KB
Volume
94
Category
Article
ISSN
0022-460X

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✦ Synopsis

In this paper, the dynamic elastic instability of a thin walled beam under traveling horizontal transverse follower load systems caused by nosing and yawing motions of vehicles, e.g., magnetically levitated vehicles, is considered. It is shown that the perturbation equation of motion of this beam system becomes Hill's equation and a parametrically excited unstable coupled vibration occurs. Furthermore, the boundary frequency equations of the simple parametric resonance are obtained by Bolotin's method, and the stability maps of a simply supported beam are shown, as influenced by load mass and damping.

πŸ“œ SIMILAR VOLUMES

Dynamic stability of a thin-walled beam
Dynamic stability of a thin-walled beam subjected to axial loads and end moments
✍ Ratko PavloviΔ‡; Predrag KoziΔ‡; Predrag RajkoviΔ‡; Ivan PavloviΔ‡ πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 275 KB

The dynamic stability problem of thin-walled beams subjected to combined action of axial loads and end moments is studied. Each force and moment consists of a constant part and a time-dependent stochastic function. Closed form analytical solutions are obtained for simply supported boundary condition