埋入SMA纤维的复合材料薄壁结构的主动变形分析

Coupled deflection analysis of SMA fiber hybrid active thin-walled composite structures

建立了具有主动SMA材料的各向异性单闭室薄壁截面梁的二维截面分析模型;SMA纤维沿任意β角铺设,含SMA纤维层合板材料性能由混合率进行预测;基于Tanaka的SMA应力应变关系以及Lin的线性相变动力模型,导出了SMA诱发的轴力、扭矩与弯矩的数学表达式。由建立的具有拉伸-扭转-弯曲静变形耦合的一般公式出发,讨论周向反对称刚度配置特殊情形并给出了简化的本构方程。数值研究结果表明:相变期间空心悬臂梁在SMA纤维驱动下产生较为显著的弯曲变形和扭转变形。调节SMA纤维的激励温度、改变复合材料铺层角、改变SMA纤维的含量和SMA的初始应变都能明显改善SMA的变形驱动性能。

A model for analyzing single-cell composite cross-sectional thin-walled beams incorporating SMA active fibers was developed.The constitutive relationships for evaluation of the properties of a hybrid SMA composite ply were obtained following the rule of mixtures.The analytical expressions of the actuation components for the active beam were derived based on Tanaka＇s constitutive equation and Lin＇s linear phase transformation kinetics for SMA fiber.The general form of constitutive relation was applied to the case of extension-twist coupling,corresponding to Circumferentially AntiSymmetric（CAS） .Numerical results show that significant stretching and twisting deflection occur during the phase transformation due to SMA actuation.The effects of SMA driving temperature,the SMA composite ply angle,the volume fraction of the SMA fiber and the martensitic residual strain on structural response behavior are significant during phase transformation from martensite to austenite.