Abstract
Transversal vibrations of a beam which is clamped supported at one end, resting on a support at some intermediate location, and has the other end subjected to a axial force are studied. The characteristic equations and the eigenfunctions of the beam are derived basing on the corresponding boundary conditions. Using the characteristic equation, the effect of the location of intermediate support on the frequencies is discussed. The differential equation of the beam’s motion is discrete applying the first four eigenfuntions by Ritz-Galerkin method and the instability mechanism at different location of intermediate support is discussed. It is shown that there exists a special location of intermediate support , as the increases from zero, for location of intermediate support , the beam becomes unstable by flutter, and for , it lose stability by divergence. At the critical force undergoes a jump, implying the transition of the instability mode from flutter to divergence.
Key words
beam with intermediate support /
frequency /
eigenfuntion /
stability
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JING Hongying;WEN Bangchun.
STABILITY ANALYSIS OF THE BEAM WITH INTERMEDIATE SUPPORT SUBJECTED TO AXIAL FORCE[J]. Journal of Vibration and Shock, 2010, 29(6): 101-104
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