Modeling and coupling vibration analysis of rotating radial rectangular section cantilever beams

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (14) : 60-68.

WU Xianglin，JIAO Yinghou，CHEN Zhaobo

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Abstract

An analytical method was proposed for establishing the dynamic model of a rotating radial cantilever beam.Based on the method, the dynamic model of a rotating cantilever beam with rectangular cross section considering the coupling effect among bending, axial and torsional deformations was established.In the dynamic model the Coriolis effect, rotation softening effect, and stress stiffening effect were considered altogether.Moreover, the influences of the beam’s shear deformation, moment of inertia and cross-section warping were also included.The Rayleigh-Ritz method was used to solve the dynamic equations.The natural frequencies and modal shapes of the rotating radial cantilever beam with different parameters were calculated.The calculated natural frequencies were compared with those by the three-dimensional finite element method as well as by the methods in the literature.The results show that the results obtained by the model are in good agreement with the results obtained by the finite element method, and have higher accuracy than the results obtained by the methods in the literature.In addition, the coupling form of the modal components in different modal shapes of the rotating radial cantilever beam was also studied in detail.An improved form-mode modal shape representation method was proposed, and the effects of rotational speed and setting angle on modal components were deeply studied.

Key words

rotating radial cantilever beam / coupling effect / cross-section warping / modal components

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WU Xianglin，JIAO Yinghou，CHEN Zhaobo. Modeling and coupling vibration analysis of rotating radial rectangular section cantilever beams[J]. Journal of Vibration and Shock, 2021, 40(14): 60-68

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