摘 要:研究了形状记忆合金（SMA）纤维混杂复合材料变截面板簧的固有频率特性。基于Brinson本构模型，讨论了SMA的受限回复特性。在建立具有SMA纤维的各向异性层合梁本构方程的基础上，利用瑞利-里兹能量法求板簧的固有频率，并给出板簧固有频率的表达式。应用MATLAB进行数值计算，得到板簧固有频率与温度、铺层角、SMA含量的关系曲线，揭示了形状记忆合金纤维复合材料变截面板簧的固有频率可调节机理。

Abstract: The natural frequency of the variable cross-section leaf spring with composite materials embedded shape memory alloy (SMA) fibre is studied. The restrained recovery characteristics is discussed based on Brinson constitutive model. A solution procedure for the natural frequency of the leaf spring is given by Rayleigh-Ritz method after deriving the constitutive equation of SMA fibre anisotropic laminated beam. The variable curves of natural frequency with temperature, ply angle and volume fraction of SMA fiber are presented using MATLAB numerical calculation. The adjustable mechanism of natural frequency of variable cross-section composite leaf spring with SMA fiber is revealed.