摘要
当温度 T TAF时 ,在 SMA的加—卸载循环内 ,应力和应变之间形成无残余变形的迟滞环 ,这种称之为超弹性的行为在振动被动控制中具有广泛的应用前景。但是 ,由于材料内部发生的正、逆相变 ,使得应力、应变、温度以及马氏体百分数之间存在强耦合非线性关系 ,给分析和计算造成很大的困难。从 Tanaka系列的 SMA本构关系出发 ,建立 SMA超弹性应力和应变之间的分段线性化模型。该模型的本构方程形式简洁、参数确定方便 ,消除了应力、应变和马氏体百分数之间的耦合性 ,因此易于应用。为了研究具有超弹性 SMA元件的结构的稳态振动响应 ,将分段线性化处理的应力应变关系展成傅里叶级数 ,用于揭示具有 SMA丝约束的悬臂梁在支座扰动下的稳态响应特性。并定义了 SMA超弹性迟滞阻尼的等效阻尼因子。
In the case of temperature TA f ,a hysteresis loop without plastic strain occurs during each loading—unloading cycle of SMA.The unique property which is often referred to as superelastic can be widely used in passive vibration control of structures.However,strongly coupled nonlinear relations among stress,strain,temperature and transformation volume fraction make analysis and numerical approach extremely difficult.This paper develops the piecewise linear model of SMA superelastic hysteresis stress—strain relation based on the model of Tanaka.The constitutive equations proposed by the authors having simply and uncoupled form,are convenient for applications.Fourier series of the restoring stress is obtained.The model is empolyed in the analysis of the steady state response characteristics of a cantilever beam with constraint of SMA wires excited by sinusoidally base motion.The equivalent damping factor of the system is also presented in the paper.
出处
《太原理工大学学报》
CAS
2000年第5期481-485,共5页
Journal of Taiyuan University of Technology
基金
国家自然科学基金资助项目!( 19872 0 47)
山西省自然科学基金资助项目!( 9810 49)
关键词
超弹性分段线性
稳态响应
结构
SMA
智能材料
SMA
superelastic hysteresis
piecewise linearization
cantilever beam
damping
steady state response
