Cross-Section Deformation Effects in the Vibration of Thin-Walled Beams of Arc Section
- 1 September 1965
- journal article
- Published by SAGE Publications in Journal of Mechanical Engineering Science
- Vol. 7 (3) , 292-299
- https://doi.org/10.1243/jmes_jour_1965_007_044_02
Abstract
Differential equations describing the coupling of ordinary bending motion with cross-sectional distortion are obtained for thin-walled beams of circular-arc cross-section using Hamilton's principle. In deriving the theory the cross-sectional deformation is assumed to take the form of the characteristic functions of a curved beam of the shape of the section. The variation with wavelength of the frequency spectra which result from the coupling is obtained. Experimental results showing the effects of the variation of the parameters of the beam geometry on the natural frequencies are in reasonable agreement with the theory.Keywords
This publication has 1 reference indexed in Scilit:
- Influence of Cross-Section Distortion on the Bending Vibration of Thin-Walled Beams of H SectionJournal of Mechanical Engineering Science, 1964