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大学物理实验, 2026, 39(4): 34-42     https://doi.org/10.14139/ j.cnki.cn22-1228.2026.04.006
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基于光对焦和影像分析法金属热膨胀系数测量#br#
张力文,赵世逾,许宝忠 ∗
天津大学 精密仪器与光电子工程学院,天津 300072
Measurement of Metal Thermal Expansion Coefficient Basedon Optical Focusing and Image Analysis Method
ZHANG Liwen,ZHAO Shiyu, XU Baozhong∗
School of Precision Instrument and Opto-electronics Engineering, Tianjin University, Tianjin 300072, China
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摘要 热膨胀系数是物理学与材料科学的关键物性参数,其精确测量对固体物理理论验证及工业应用具有重要意义。 传统大学物理热膨胀实验存在设备昂贵、操作繁琐、直观性不足、测量精度有限、学生参与度低等问题。 为此,本文设计一种基于光对焦法与影像分析的金属热膨胀系数测量装置,将光学成像与数字图像处理结合,构建非接触、高精度、低成本的可视化测量系统。 系统可分别测量并联合求解金属圆柱样品纵向高度与横向直径的热膨胀量,进而计算线膨胀系数与体膨胀系数。 以 6061-T6
铝合金为样品开展实验,测得线膨胀系数与理论值吻合良好,线膨胀系数与体膨胀系数比值约 1 ∶ 3,符合热膨胀理论关系。 该装置有望提升实验直观性与可操作性,为大学物理实验教学提供新方法,有助于培养学生实践与工程能力。
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张力文
赵世逾
许宝忠
关键词:  金属热膨胀系数  光对焦法  影像分析法  非接触式测量  实验教学    
Abstract:  The thermal expansion coefficient is a critical physical property parameter in physics and materialsscience, and its precise measurement is of great significance for verifying solid-state physics theories andindustrial applications. Traditional university physics thermal expansion experiments suffer from issues such asexpensive equipment, cumbersome operations, poor intuitiveness, limited measurement accuracy, and lowstudent engagement. To address these challenges, this paper designs a metal thermal expansion coefficientmeasurement device based on optical focusing and image analysis, combining optical imaging with digital imageprocessing to create a non-contact, high-precision, and low-cost visual measurement system. The system canmeasure and jointly solve for the thermal expansion of the longitudinal height and transverse diameter of ametal cylindrical sample, and then caleulate the linear expansion coefficient and bulk expansion coefficient.Experiments conducted with 6061-T6 aluminum alloy samples yielded linear expansion coefficients that closelymatched theoretical values, with a linear-to-volumetric expansion coefficient ratio of approximately 1 : 3,aligning with thermal expansion theory. This device effectively enhances experimental intuitiveness andoperability, providing a novel approach for university physics teaching and fostering students' practical andengineering skills.
Key words:       metal thermal expansion coefficient    optical focusing method    image analysis method    non-contact
measurement
   experimental teaching
                    发布日期:  2026-08-24     
:  O 4-33  
基金资助: 天津市自然科学基金(25JCZDJC01380),教育部产学合作协同育人项目(2510170008)
引用本文:    
张力文, 赵世逾, 许宝忠 . 基于光对焦和影像分析法金属热膨胀系数测量#br#[J]. 大学物理实验, 2026, 39(4): 34-42.
ZHANG Liwen, ZHAO Shiyu, XU Baozhong. Measurement of Metal Thermal Expansion Coefficient Basedon Optical Focusing and Image Analysis Method. Physical Experiment of College, 2026, 39(4): 34-42.
链接本文:  
https://dawushiyan.jluct.edu.cn/CN/10.14139/ j.cnki.cn22-1228.2026.04.006  或          https://dawushiyan.jluct.edu.cn/CN/Y2026/V39/I4/34
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