Vibration of Spinning Cantilever Beams Undergoing Coupled Bending and Torsional Motion
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This study investigates the vibration of a spinning cantilever beam with a rigid body attached to its free end undergoing coupled bending and torsional motion. The rotation axis is perpendicular to the beam (like a helicopter blade). The governing equations of motion are cast in a structured way using extended variables and extended operators. With this structure the equations represent a classical gyroscopic system and Galerkin discretization is readily applied where it is not for the original problem. The natural frequencies and vibration modes are investigated over a wide range of rotation speeds.
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1971 ◽
Vol 13
(1)
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pp. 51-59
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2013 ◽
Vol 690-693
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pp. 309-313
1967 ◽
Vol 89
(1)
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pp. 23-29
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2018 ◽
Vol 233
(3)
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pp. 928-946
2011 ◽
Vol 86
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pp. 756-761
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