基于机器视觉的扭摆法转动惯量测量技术研究
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浙江理工大学 机械与自动控制学院 杭州 310018

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TH823

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国家自然科学基金资助项目(61905220);浙江省基础公益研究计划资助项目(LGF21F050004);国家级大学生创新创业训练计划项目(202010338014);浙江省大学生科技创新活动计划资助项目(2021R406002)


Research on Moment of Inertia Measurement Technology Based on Machine Vision and Torsion Pendulum Method
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School of Mechanical Engineering and Automation, Zhejiang Sci-Tech University, Hangzhou 310018,China

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    摘要:

    针对阻尼条件下刚体转动惯量的测量问题,提出一种融合机器视觉和扭摆法原理的新方法。根据扭摆法的测量原理,建立了摆角θ关于时间t、阻尼比ζ、无阻尼自振频率ωn的数学模型,最终推导出了线性阻尼条件下转动惯量的计算方法。利用高分辨率工业相机和成像系统对扭摆台进行摄像,经图像边缘捕获、特征点提取、摆角计算后得到摆角θ关于时间t的曲线,根据该曲线计算出阻尼比ζ、周期T和转动惯量I。搭建了一套实验系统,针对转动惯量不大于4.00×10-3 kg·m2的被测物体进行转动惯量测量实验,结果表明测量误差的绝对值不超过4.55×10-5 kg·m2;对于4种被测物进行了多次重复性测量实验,测量的标准差优于1.2×10-4 kg·m2。该方法可用于工程中刚体惯量的测量问题,对某型无人机进行了Z轴转动惯量实测,进一步验证了本文所述方法的有效性。

    Abstract:

    To measure the moment of inertia of rigid body under damping condition, a new method combining machine vision and torsional pendulum method is proposed. According to the measuring principle of the torsional pendulum method, the mathematical model of the pendulum swing angle θ with respect to time t, the damping ratio ζ and the undamped natural frequency ωn is established. Finally, the calculation method of the moment of inertia under the linear damping condition is deduced. A high-resolution industrial camera and an imaging system were used to photograph the torsion pendulum. The curve of the pendulum swing angle θ with respect to time t was obtained by capturing the image edge, extracting the feature points and calculating the pendulum swing angle. According to the curve, the damping ratio ζ, the period T and the moment of inertia I were calculated. A set of experimental system is set up to measure the moment of inertia of the measured object whose moment of inertia is less than 4.00×10-3 kg·m2. The results show that the absolute value of the measurement error is less than 4.55×10-5 kg·m2. Repeated measurement experiments were carried out for four kinds of tested objects, and the standard deviation was better than 1.2×10-4 kg·m2. This method can be used to measure the rigid body inertia in engineering. The Z-axis rotation inertia of an unmanned aerial vehicle is measured, and the validity of the method described in this paper is further verified.

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汪睿,鲁承炜,孙天龙,李鸿基,张烈山.基于机器视觉的扭摆法转动惯量测量技术研究[J].电子测量技术,2022,45(3):136-145

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  • 在线发布日期: 2024-06-14
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