Modeling and experimental validation of the hysteretic dynamics of shape memory alloy springs

IF 0.5 Q4 ENGINEERING, ELECTRICAL & ELECTRONIC International Journal on Smart Sensing and Intelligent Systems Pub Date : 2020-01-01 DOI:10.21307/ijssis-2019-012
R. Abubakar, Yutian Hu, Fan Wang, Linxiang X. Wang
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引用次数: 1

Abstract

Abstract In this work, the hysteretic dynamics of a pseudoelastic shape memory alloy (SMA) spring is modeled and tested. A constitutive model of SMA spring is constructed by combining the theory of mechanical spring and the derived SMA constitutive relation. The SMA spring recovery force is modeled by employing the Euler–Lagrange equation based on a non-convex potential function. A macroscopic differential model is formulated to describe the hysteretic dynamics and the pseudoelasticity of the SMA spring. A theoretical method for estimating the equivalent stretch ratio at a specific temperature of SMA spring is given. Numerical simulations were presented in studying the influence of the stretch ratio at a temperature of 50, 70, and 90°C. The experimental tests are performed and presented together with their numerical counterparts. The comparison is made between numerical and experimental results to validate the proposed model for SMA spring.
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形状记忆合金弹簧滞回动力学建模与实验验证
摘要本文对一种伪弹性形状记忆合金(SMA)弹簧的滞回动力学进行了建模和测试。将机械弹簧理论与导出的SMA本构关系相结合,建立了SMA弹簧的本构模型。采用基于非凸势函数的欧拉-拉格朗日方程对SMA弹簧恢复力进行了建模。建立了描述SMA弹簧滞回动力学和伪弹性的宏观微分模型。给出了一种计算SMA弹簧在特定温度下等效拉伸比的理论方法。通过数值模拟研究了拉伸比在50、70和90℃温度下的影响。进行了实验测试,并提出了他们的数值对应。通过数值与实验结果的比较,验证了所建SMA弹簧模型的有效性。
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来源期刊
CiteScore
2.70
自引率
8.30%
发文量
15
审稿时长
8 weeks
期刊介绍: nternational Journal on Smart Sensing and Intelligent Systems (S2IS) is a rapid and high-quality international forum wherein academics, researchers and practitioners may publish their high-quality, original, and state-of-the-art papers describing theoretical aspects, system architectures, analysis and design techniques, and implementation experiences in intelligent sensing technologies. The journal publishes articles reporting substantive results on a wide range of smart sensing approaches applied to variety of domain problems, including but not limited to: Ambient Intelligence and Smart Environment Analysis, Evaluation, and Test of Smart Sensors Intelligent Management of Sensors Fundamentals of Smart Sensing Principles and Mechanisms Materials and its Applications for Smart Sensors Smart Sensing Applications, Hardware, Software, Systems, and Technologies Smart Sensors in Multidisciplinary Domains and Problems Smart Sensors in Science and Engineering Smart Sensors in Social Science and Humanity
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