青岛科技大学 机电工程学院， 山东 青岛 266061
出版日期:2018-07-28发布日期:2018-07-28通讯作者:孙双双（1971-），女，山东省青岛市人，博士，教授，主要从事复合材料结构及智能材料与结构的力学性能研究. 基金资助:山东省自然科学基金 (ZR2014AL011) ，山东省高等学校科技计划 (J13LB08)，青岛市科技发展计划 (13-1-4-150-jch)Dynamic Finite Element Analysis on a Composite Hollow Beam Embedded with Pseudoelastic Shape Memory Alloy Fibers
SUN Shuangshuang，WU Dan，LIU DongdiCollege of Electromechanical Engineering, Qingdao University of Science & Technology, Qingdao 266061, Shandong, China
Online:2018-07-28Published:2018-07-28摘要/Abstract
摘要： 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.
关键词: 形状记忆合金混杂复合材料, 有限元法, 动态响应, 伪弹性
Abstract: 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.
Key words: shape memory alloy (SMA) hybrid composite, finite element method (FEM), dynamic response, pseudoelasticity
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