波动温度环境下形状记忆合金梁的参激振动控制

Parametrically excited vibration control of a SMA beam under fluctuating temperature

引入形状记忆合金多项式本构模型描述材料的热力学行为,导出形状记忆合金梁在横向周期力扰动下的非线性动力学控制方程,从而研究合金梁在波动变化温度场中的参数激励振动控制。数值分析表明,温度对形状记忆合金梁的弹性模量和振动特性影响很大,且利用最大Lyapunov指数法可以获得临界温度值,当温度在该临界温度值附近波动时可以实现形状记忆合金梁的参数激励振动控制。最后,讨论临界温度值受外激励振幅和频率的影响,从而拓展所提出方法的实际应用。

Here,the polynomial constitutive model of shape memory alloy(SMA) was introduced to describe thermodynamic behavior of materials,and the nonlinear dynamic governing equation of SMA beam under transverse periodic force disturbance was derived to study parametrically excited vibration control of SMA beam in fluctuating temperature field.Numerical analysis showed that temperature greatly affects elastic modulus and vibration characteristics of SMA beam;the maximum Lyapunov exponent method can be used to obtain the critical temperature,when temperature fluctuates near the critical temperature,parametrically excited vibration control of SMA beam can be realized.Finally,effects of external excitation amplitude and frequency on the critical temperature were discussed to expand practical application of the proposed method.