提出一个具有形状记忆合金（SMA）弹簧支承的旋转轴转子系统的自由振动分析模型。基于Euler-Bernoulli梁理论建立旋转轴的连续分布弹性振动方程， 并且考虑旋转轴材料内阻的影响。采用Brinson模型分析SMA螺旋弹簧的受限回复刚度特性。在振型假设的基础上利用虚功原理得到转子系统的特征方程。通过数值计算分析了SMA弹簧的激励温度和初始应变对转子系统的临界转速和失稳阈的影响规律。研究表明， 利用SMA弹簧的受限回复特性调节支承刚度可以提高转子系统的临界转速和失稳阈，从而增强转子系统的动力学稳定性。
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.
关键词
形状记忆合金弹簧 /
弹性支承 /
转子 /
稳定性
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Key words
shape memory alloy spring /
elastic support /
rotors /
stability
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