中国机械工程

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工件质量和位置对单面立式平衡机测量误差的影响

王秋晓;王德全;谭健;付晓艳;张光艳   

  1. 重庆大学机械工程学院,重庆,400044
  • 出版日期:2019-08-25 发布日期:2019-08-27
  • 基金资助:
    国家自然科学基金资助项目(51175529)

Influences of Workpiece Masses and Positions on Measurement Errors for Single-plane Vertical Dynamic Balancing Machines

WANG Qiuxiao;WANG Dequan;TAN Jian ;FU Xiaoyan;ZHANG Guangyan   

  1. School of Mechanical Engineering, Chongqing University, Chongqing, 400044
  • Online:2019-08-25 Published:2019-08-27

摘要: 针对永久标定式单面立式动平衡机对不同质量、不同高度的工件存在较大测量误差的问题,提出了一种用摆架扭摆效应分析误差来源的方法。将摆架系统处理成二自由度振动系统,根据力学原理建立了振动系统的运动方程;推导了系统振动中心的变化规律公式,分析了转速、工件位置和质量对振动中心的影响;推导了簧板绕振动中心的扭转刚度公式,同时分析了扭转刚度与振动中心位置间的关系。通过实验验证了扭转效应随工件质量、位置的变化规律,证明了簧板扭转刚度公式的正确性,分析了永久标定产生的误差,最大误差率为34.41%,说明了永久标定算法的不合理性,为优化测量算法提供了参考。

关键词: 永久标定, 单面立式动平衡机, 扭转效应, 扭转刚度

Abstract: Aiming at the large measurement errors of permanent calibration single-plane vertical dynamic balancing machines under different workpiece masses or heights, a method for analyzing the error sources was proposed by using torsion effects of swing frame. The swing frame system was processed as a 2 DOFs system, and the kinematical equations of the swing frame structure were established based on theoretical mechanics. The position formula of system vibration centers was derived, and the influences of rotation speeds, workpiece positions and masses on the vibration center positions were analyzed. The formula of torsional stiffness of spring plate around the vibration center was deduced, and the relationship between torsional stiffness and vibration center position was analyzed.The torsion effect law which changed with workpiece masses and positions was verified from experiments, and the correctness of torsional stiffness formula of spring plate was proved.The permanent calibration errors were analyzed.The maximum error rate is of 34.41%.It reveals the irrationality of permanent calibration method and provides a reference for optimizing measurement methods.

Key words: permanent calibration, single-plane vertical dynamic balancing machine, torsion effect, torsional stiffness

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