On parametrically excited flexural motion of an extensible and shearable rod with a heavy attachment

Cull, S. J. and Tucker, Robin and Tung, Roh and Hartley, D. H. (2000) On parametrically excited flexural motion of an extensible and shearable rod with a heavy attachment. Technische Mechanik, 20 (2). pp. 147-157. ISSN 0232-3869

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Abstract

A simple Cosserat model is used to explore the coupled planar flexural and axial vibrations of a slender rod clamped at one end with a heavy attached mass free to move at the other. By assuming that the inertia of the rod is small compared to that of the attached mass it is shown how the equations of motion reduce to a dynamical system. The effects of gravity on the rod can be incorporated within this framework and the linearised stability of the system discussed in terms of solutions to the Mathieu-Hill equation.

Item Type:
Journal Article
Journal or Publication Title:
Technische Mechanik
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2200/2210
Subjects:
ID Code:
75209
Deposited By:
Deposited On:
12 Aug 2015 10:12
Refereed?:
Yes
Published?:
Published
Last Modified:
23 May 2020 04:49