Linear Vibrations of Frames Carrying a Concentrated Mass
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In this article, the free and forced in-plane and out-of-plane vibrations of frames are investigated, and the in-planar and out of plane natural frequencies, point and transfer receptances of the system are obtained to determine the sensitive and non-sensitive frequency intervals depending on the location and direction of the force.Abstract:
The free and forced in-plane and out-of-plane vibrations of frames are investigated. The beam has a straight and a curved part. It has a circular cross-section. A concentrated mass is also located at different points of the frame with different mass ratios. FEM is used to analyze the problem. The in-plane and out-of-plane natural frequencies, point and transfer receptances of the system are obtained to determine the sensitive and non-sensitive frequency intervals depending on the location and direction of the force.read more
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Dissertation
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References
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XL. The lowest natural frequency of circular arcs
TL;DR: In this paper, the first and second natural frequencies of a part or a circular ring, hinged or clamped at its ends, were derived for the extension of the fibres under certain conditions.
Journal ArticleDOI
In-plane and out-of-plane free vibrations of curved beams with variable sections
TL;DR: In this article, an approximate method to study the analysis for both in-plane and out-of-plane free vibration of horizontally curved beams with arbitrary shapes and variable cross-sections is presented.
Journal ArticleDOI
A simple cubic linear element for static and free vibration analyses of curved beams
A. Krishnan,Y.J. Suresh +1 more
TL;DR: In this article, the effect of shear deformation on deflection and shear deformations together with rotatory inertia on natural and cross over frequencies of curved beams are obtained using a simple cubic linear beam element having 4 degrees of freedom per node viz u, w, θ and γ.