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

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published

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On parametrically excited flexural motion of an extensible and shearable rod with a heavy attachment. / Cull, S. J.; Tucker, Robin; Tung, Roh et al.
In: Technische Mechanik, Vol. 20, No. 2, 2000, p. 147-157.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Cull, SJ, Tucker, R, Tung, R & Hartley, DH 2000, 'On parametrically excited flexural motion of an extensible and shearable rod with a heavy attachment', Technische Mechanik, vol. 20, no. 2, pp. 147-157. <http://www.uni-magdeburg.de/ifme/zeitschrift_tm/02_HTML_Inhalt/2000.htm>

APA

Cull, S. J., Tucker, R., Tung, R., & Hartley, D. H. (2000). On parametrically excited flexural motion of an extensible and shearable rod with a heavy attachment. Technische Mechanik, 20(2), 147-157. http://www.uni-magdeburg.de/ifme/zeitschrift_tm/02_HTML_Inhalt/2000.htm

Vancouver

Cull SJ, Tucker R, Tung R, Hartley DH. On parametrically excited flexural motion of an extensible and shearable rod with a heavy attachment. Technische Mechanik. 2000;20(2):147-157.

Author

Cull, S. J. ; Tucker, Robin ; Tung, Roh et al. / On parametrically excited flexural motion of an extensible and shearable rod with a heavy attachment. In: Technische Mechanik. 2000 ; Vol. 20, No. 2. pp. 147-157.

Bibtex

@article{c891b3e5d25841fd970454ac3bfb333f,
title = "On parametrically excited flexural motion of an extensible and shearable rod with a heavy attachment",
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.",
author = "Cull, {S. J.} and Robin Tucker and Roh Tung and Hartley, {D. H.}",
year = "2000",
language = "English",
volume = "20",
pages = "147--157",
journal = "Technische Mechanik",
issn = "0232-3869",
publisher = "Magdeburger Verein fur Technische Mechanik e.V.",
number = "2",

}

RIS

TY - JOUR

T1 - On parametrically excited flexural motion of an extensible and shearable rod with a heavy attachment

AU - Cull, S. J.

AU - Tucker, Robin

AU - Tung, Roh

AU - Hartley, D. H.

PY - 2000

Y1 - 2000

N2 - 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.

AB - 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.

M3 - Journal article

VL - 20

SP - 147

EP - 157

JO - Technische Mechanik

JF - Technische Mechanik

SN - 0232-3869

IS - 2

ER -