TY - JOUR
T1 - Natural frequencies and normal modes of a spinning timoshenko beam with general boundary conditions
AU - Zu, Jean Wu Zheng
AU - Han, Ray P.S.
PY - 1992
Y1 - 1992
N2 - A free flexural vibrations of a spinning, finite Timoshenko beam for the six classical boundary conditions are analytically solved and presented for the first time. Expressions for computing natural frequencies and mode shapes are given. Numerical simulation studies show that the simply-supported beam possesses very peculiar free vibration characteristics: There exist two sets of natural frequencies corresponding to each mode shape, and the forward and backward precession mode shapes of each set coincide identically. These phenomena are not observed in beams with the other five types of boundary conditions. In these cases, the forward and backward precessions are different, implying that each natural frequency corresponds to a single mode shape.
AB - A free flexural vibrations of a spinning, finite Timoshenko beam for the six classical boundary conditions are analytically solved and presented for the first time. Expressions for computing natural frequencies and mode shapes are given. Numerical simulation studies show that the simply-supported beam possesses very peculiar free vibration characteristics: There exist two sets of natural frequencies corresponding to each mode shape, and the forward and backward precession mode shapes of each set coincide identically. These phenomena are not observed in beams with the other five types of boundary conditions. In these cases, the forward and backward precessions are different, implying that each natural frequency corresponds to a single mode shape.
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M3 - Conference article
AN - SCOPUS:0027094728
SN - 0402-1215
SP - 1
EP - 8
JO - American Society of Mechanical Engineers (Paper)
JF - American Society of Mechanical Engineers (Paper)
T2 - 1992 ASME Summer Mechanics and Materials Meeting
Y2 - 28 April 1992 through 1 May 1992
ER -