Stability analysis of parameter excitation using coupled lateral and torsional vibrations for reduction of residual stress

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (20) : 101-108.

CAI Ganwei1，HUANG Yuanxing2，HUANG Yizhe1，LI Junming3

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Abstract

The paper deals with the dynamic characteristics and stability of vibratory stress relief for shaft part using coupled lateral and torsional vibrations.The dynamic equation of rotor-bearing system was established by the finite element method.The appropriate modal was obtained by the modal analysis.According to the resonance condition, the lateral response, torsional response and dynamic stress response of the rotating shaft subjected to torsional excitation were obtained by the Newmark method.The resonant characteristics of coupled vibration were analyzed.Based on the transient analysis, the periodic stability of the parametric system was analyzed by the Floquet stability theory and the Poincaré method during the rotational speed raised from zero to the coupling resonant speed.The results show that the coupled dynamic characteristics of the vibratory stress relief process using coupled lateral and torsional vibrations are obvious, and the vibration is stable, which have reference value for the application of vibratory stress relief.

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coupled lateral and torsional vibrations / vibratory stress relief / stability

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CAI Ganwei1，HUANG Yuanxing2，HUANG Yizhe1，LI Junming3. Stability analysis of parameter excitation using coupled lateral and torsional vibrations for reduction of residual stress[J]. Journal of Vibration and Shock, 2018, 37(20): 101-108

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