Here,rigid-flexible coupled dynamic properties of a high-speed spinning flexible beam around its own longitudinal axis were studied.Using the first-order approximation model,the coupling effect of axial vibration and transverse one of the beam was considered.Besides,the centrifugal forces caused by eccentricity were also considered.The beam’s governing coupled partial differential equations of motion under a certain spinning speed were derived using Hamilton’s principle,and the assumed mode method was used for discretization.For different spinning,speeds,the transverse vibration response of the beam’s zero-order approximate model was compared with that of its first-order approximation model.The simulation results indicated that the zero-order approximate model is valid for the dynamic description of the flexible beam spinning at a lower speed since the effect of the rigid-flexible coupled terms is small and can be neglected; but when the beam spins at a higher speed,the first-order approximate model can account for the larger effect of the rigid-flexible coupled terms to obtain the beam’s more accurate dynamic response.
Key words
high-speed /
spinning flexible beam /
first-order approximation /
Hamilton principle /
assumed mode method
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