Dynamic stability of rotating shaft-bearings with shape memory alloy support

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (5) : 70-74.

Ren Yongsheng, Du Chenggang, Liu Yanghang

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Abstract

A rotating shaft-bearing rotordynamic model with shape memory alloy (SMA) support was proposed. The Euler-Bernoulli beam theory was used to derive the continuous elastic vibration equations of the rotating shaft. Internal viscous damping of the shaft was also included in the equations. Brinson constitutive model was adopted to describe the stiffness charateristic of SMA helical spring in the state of restrained strain. On the basis of assumed mode shapes the eigenvalue equation of the rotor system can be obtained by using the virtural work principle. The influcences of the actuation temperature and initial strain of SMA helical spring on the critical speed and instability threshold of the rotor system. Results show that support siffness modification based on the restrained recovery of SMA helical spring can significantly increase the critical speed and instability threshold.

Key words

shape memory alloy spring / elastic support / rotors / stability

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Ren Yongsheng, Du Chenggang, Liu Yanghang . Dynamic stability of rotating shaft-bearings with shape memory alloy support[J]. Journal of Vibration and Shock, 2016, 35(5): 70-74

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