Vibration characteristics analysis of spinning beam structure with elastic boundary constraints, unbalanced concentrated mass and axial load

HE Feifan, DU Jingtao, ZHAO Yuhao, LIU Yang

Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (1) : 36-45.

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PDF(4216 KB)
Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (1) : 36-45.

Vibration characteristics analysis of spinning beam structure with elastic boundary constraints, unbalanced concentrated mass and axial load

  • HE Feifan, DU Jingtao, ZHAO Yuhao, LIU Yang
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Abstract

Analytical model of the transverse vibration characteristics of Rayleigh spinning beam with elastic boundary constraints including unbalanced concentrated mass and axial load is established by using the improved Fourier series method. Firstly, the kinetic energy and potential energy matrix equations of the spinning shaft-support system are listed. Secondly, the motion equations of the spinning shaft system are derived by Lagrange’s equation. Finally, Improved the Fourier series are used as the assumed form of the equations to calculate and solve. The influence of supporting translational stiffness, rotational stiffness and axial load on the critical rotational speed of the spinning shaft is studied. The influence of unbalanced lumped mass in the spinning shaft on the whirl frequency and critical rotational speed of the spinning shaft is analyzed. The characteristics of the amplitude-frequency characteristic curve of the spinning shaft as a function of the unbalanced lumped mass, the axial position and the supporting stiffness at both ends of the spinning shaft were investigated.

Key words

Rayleigh spinning beam / Improved the Fourier series / Elastic boundary restraints / Transverse vibration / Unbalanced lumped mass

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HE Feifan, DU Jingtao, ZHAO Yuhao, LIU Yang. Vibration characteristics analysis of spinning beam structure with elastic boundary constraints, unbalanced concentrated mass and axial load[J]. Journal of Vibration and Shock, 2024, 43(1): 36-45

References

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