以内嵌伪弹性形状记忆合金(SMA)纤维的复合材料空心层合梁为研究对象，基于经典层合梁理论和有限元法，在考虑SMA的相变特性、材料非线性与基体变形相互耦合的基础上，按照虚功原理建立了SMA混杂复合材料空心层合梁的运动方程，并用Newmark积分法和牛顿迭代法对运动方程进行了数值求解，研究了SMA混杂复合材料空心层合梁的振动特性，分析了SMA对复合材料层合梁的振动抑制效果，讨论了温度、结构阻尼对空心层合梁动态响应的影响规律.结果表明：同一时刻下内嵌SMA纤维的空心层合梁自由端挠度较未嵌SMA纤维时的挠度明显降低；伪弹性SMA纤维在较高的温度下能更好地实现对层合梁的振动抑制；伪弹性SMA纤维对层合梁的振动抑制效果明显优于结构阻尼对层合梁的振动抑制效果.
The composite hollow laminated beam embedded with pseudoelastic shape memory alloy (SMA) fibers was taken as the research object, and its motion equation was established by the virtual work principle based on classical laminated beam theory and the finite element method. The coupling of the phase transformation and material nonlinearity of SMA and the deformation of the matrix were considered. The Newmark integration method and the Newton iteration method were used to solve the motion equation. The vibration characteristics of the SMA hybrid composite hollow laminated beam were studied and the vibration suppression effect of SMA on the composite laminated beam was analyzed. The influence of temperature and structural damping on the dynamic response of the laminated beam was discussed. It was found that the free-end deflection of the hollow laminated beam embedded with SMA fibers is obviously decreased when compared with the hollow laminated beam without SMA fibers at the same time. Pseudoelastic SMA fibers show better vibration suppression effect at higher temperatures, and the vibration suppression effect of pseudoelastic SMA fibers on the laminated beam is much better than that of structural damping.
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