Rigid-flexible coupled dynamic analysis for a high-speed spinning flexible beam
ZHOU Lanwei1,CHEN Guoping2，SUN Dongyang3
1.School of Mechanical Engineering,Nanjing University of Science and Technology,Nanjing,210094;
2.State Key Lab of Mechanics and Control of Mechanical Structures，Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China;
3.College of Aerospace Engineering，Chongqing University，Chongqing 400044,China
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.
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