- Virgin, L. N., FREE VIBRATIONS OF IMPERFECT CANTILEVER BARS UNDER SELF-WEIGHT LOADING.,
Proceedings of the Institution of Mechanical Engineers, Part C: Mechanical Engineering Science, vol. 201 no. C5
pp. 345 - 347 .
(last updated on 2007/03/23)
This brief study examines the relationship between the natural frequency of small oscillations and the length of vertical cantilever struts in a gravitational field. The analysis uses a Rayleigh approach and includes post-buckled equilibrium states and emphasizes the influence of initial imperfections. Further terms may be added to improve the accuracy of the analysis although this work is primarily restricted to regions where the first mode is dominant.
MATHEMATICAL TECHNIQUES - Harmonic Analysis;BEAMS AND GIRDERS - Deflection;