机电集成形状记忆合金活齿传动装置受力分析

摘要/Abstract

摘要： 为了研究机电集成形状记忆合金（SMA）活齿传动装置的受力规律，采用电流直接加热方式并基于Brinson的一维本构模型，推导出装置中SMA的驱动方程；通过活齿传动装置受力分析，建立了装置的耦合力学方程,绘出了装置参数变化时活齿受力随输出轴转角变化曲线和不同输入电流下输出特性曲线，得到了装置参数变化对活齿受力的影响规律和输入电流对装置输出特性的影响规律。研究结果为装置的进一步优化和动力学研究提供了参考，为样机的制作和试验提供了依据。

关键词: 形状记忆合金, 活齿传动, 多场耦合, 受力分析, 输出特性

Abstract: In order to study the force laws of a movable teeth transmission integrated with SMAs, using direct current heating method and one-dimensional constitutive model of Brinson ,the driving equations of the SMA in the transmission were derived. Through the force analysis of the movable gear transmission, the coupling force equations of the transmission were established. The force curves of the movable tooth with the output shaft angles were plotted when the device parameters were changed,and the output curves were plotted under different input currents. The influences of the parameters on the force in the the movable tooth and the output curve under the input current were obtained.The results provide a theoretical basis for the further optimization and dynamics of the system, and provide the basis for the prototype manufactures and tests.

Key words: shape memory alloy (SMA), movable teeth transmission, many field coupling, force analysis, output characteristics

中图分类号:

TH122

柴宗兴;许立忠. 机电集成形状记忆合金活齿传动装置受力分析[J]. 中国机械工程.

CHAI Zongxing;XU Lizhong. Force Analysis of the Movable Teeth Transmission Integrated with SMAs[J]. China Mechanical Engineering.

参考文献

[1] 闫晓军，张小勇. 形状记忆合金智能结构[M]. 北京:科学出版社, 2015:3-4.
YAN Xiaojun, ZHANG Xiaoyong. Shape Memory Alloy Smart Structure[M]. Beijing: Science Press, 2015:3-4.

[2]何存富, 金江, 陶宝祺. 形状记忆合金驱动薄壁圆管扭转变形分析及试验研究[J]. 机械工程学报,2001,37(2):17-21.
HE Cunfu, JIN Jiang, TAO Baoqi. Analysis and Experimental Study on Torsional Deformation of
Thin Walled Tubes Driven by Shape Memory Alloy [J]. Journal of Mechanical Engineering,2001,37(2):17-21.

[3]刘颖, 闫晓军. 一种低速连续旋转SMA电机的设计与试验[J]. 航空动力学报, 2010, 25(9):2023-2029.
LIU Ying, YAN Xiaojun. Design and Experiment of a Low Speed Continuous Rotary SMA Motor[J]. Journal of Aeronautics and Astronautics,2010,25(9):2023-2029.

[4]李贺, 董二宝, 许旻,等. 基于SMA的混合驱动器设计[J]. 机电一体化, 2011,17(4):56-59.
LI He, DONG Erbao, XU Min, et al. Based on SMA Hybrid Drive Design [J]. Mechanical and Electrical Integration,2011,17(4):56-59.

[5]吴佳俊, 王帮峰, 芦吉云,等.一种形状记忆合金扭转驱动器的制备与测试[J].中国机械工程,2014,25(12):1591-1594.
WU Jiajun, WANG Bangfeng, LU Jiyun, et al. The Preparation and Testing of a Shape Memory Alloy Reverse Drive [J]. China Mechanical Engineering,2014,25(12):1591-1594.

[6]HWANG D. A Rotary Actuator Using Shape Memory Alloy (SMA) Wires[J]. Transactions on Mechatronics,2014,19(5):1625-1635.

[7]李瑰贤, 杨伟君, 顾晓华. 滚柱活齿传动受力分析的研究[J]. 机械设计,2002,19(1):34-36.
LI Guixian, YANG Weijun, GU Xiaohua. Roller Movable Teeth Transmission Force Analysis Research [J]. Journal of Mechanical Design, 2002,19(1):34-36.

[8]李剑锋, 董新蕊. 凸轮激波滚动活齿传动啮合力分析方法[J]. 机械工程学报,2008,44(5):39-44.
LI Jianfeng, DONG Xinrui. The CAM Roller Movable Teeth Transmission Meshing Shock Force Analysis Method [J]. Journal of Mechanical Engineering,2008,44(5):39-44.

[9]李怀勇, 许立忠. 杆式压电电机传动系统中的活齿受力分析[J]. 工程力学,2014,31(1):201-208.
LI Huaiyong, XU Lizhong. Bar Type Piezoelectric Motor Drive System of Movable Tooth Stress Analysis [J]. Journal of Engineering Mechanics,2014,31(1):201-208.

[10]李冲. 机电集成压电谐波传动系统研究[D]. 秦皇岛：燕山大学,2016.
LI Chong. Mechanical and Electrical Integration of Piezoelectric Harmonic Drive System Research [D]. Qinhuangdao: Yanshan University,2016.
[11]YI Y, JI Y. Force Analysis for Pure Rolling Movable Teeth Transmission [C]// International Conference on Advanced Electronic Science and Technology. Shenzhen,2016:987-992.

[12]BRINSON L C. One-dimensional Constitutive Behavior of Shape Memory Alloys: Thermomechanical Derivation with Non-constant Material Functions and Redefined Martensite Internal Variable[J]. Journal of Intelligent Material Systems & Structures,1993,4(2):729-742.

[13]杨杰,吴月华. 形状记忆合金及其应用[M]. 合肥:中国科学技术大学出版社,1993:109.
YANG Jie, WU Yuehua. Shape Memory Alloy and Its Application [M]. Hefei: University of Science and Technology of China Press,1993:109.

[14]曾强, 李鹏, 陈兵奎. 空间凸轮活齿传动的应力变形分析[J]. 机械工程师,2004(10):59-62.
ZENG Qiang, LI Peng, CHEN Bingkui. The Deformation and Stress of the Spatial CAM Movable Teeth Transmission Analysis [J]. Mechanical Engineers,2004(10):59-62.

[15]李怀勇. 新型杆式压电电机研究[D]. 秦皇岛：燕山大学,2013.
LI Huaiyong. New Bar Type Piezoelectric Motor Research [D]. Qinhuangdao: Yanshan University, 2013.

[16]丁肇棣, 曲继方. 波齿传动的受力分析和效率计算[J]. 燕山大学学报,1988(2):31-35.
DING Zhaodi, QU Jifang. Force Analysis and Efficiency Calculation of Wave Gear Transmission [J]. Journal of Yanshan University,1988(2):31-35.