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Measuring Error Correction Method During Deflection Measurement Process of the Regular Hexagon Section Shaft Based on Lever-Type Measuring Mechanism

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Advances in Mechanism, Machine Science and Engineering in China (CCMMS 2022)

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

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Abstract

Straightness measurement needs to be performed before straightening. In this paper, considering the rationality of structural design and protecting the sensor, we used the lever structure to measure the straightness of the regular hexagon section shaft. However, due to lever parameters and the contact mode between the lever and the shaft and between the lever and the sensor, the lever model has measurement errors. Two kinds of lever-type measuring mechanisms are discussed to improve the measuring precision in this paper. The error correction method is proposed through strict mathematical derivation. At the same time, sensitivity analysis of lever parameters was carried out. Finally, the validity of the error correction is proved through experimental verification. The experiments indicate that the error of measurement results of two lever models after error correction is controlled within ± 0.006 mm, which improves the measurement accuracy significantly. At the same time, after correcting the measurement results of deflection of the regular hexagon section shaft, the length error of deflection vector is reduced to 0.01 mm basically.

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Abbreviations

f:

The centroid point of the hexagonal shaft

g:

The center of rotation of the hexagonal shaft

Z:

The displacement of the point f in the measured direction

M:

The measurement result of the sensor

Z*:

The value deduced by M

H:

The width of the shaft

R:

The probe radius of left arm of the lever

A, L, B:

Structural size of the lever

D:

Lever ratio

r:

Probe radius of the displacement sensor

θ:

Lever rotation angle

O:

The center of rotation of the lever

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant No. 51675481), Basic public welfare research project of Zhejiang province (LGG18E050008).

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Authors and Affiliations

  1. State Key Laboratory of Fluid Power and Mechatronic Systems, College of Mechanical Engineering, Zhejiang University, Hangzhou, 310027, People’s Republic of China

    Qingshun Kong & Zhonghua Yu

Authors
  1. Qingshun Kong
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  2. Zhonghua Yu
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Corresponding author

Correspondence to Qingshun Kong .

Editor information

Editors and Affiliations

  1. Department of Mechanical Engineering, Tsinghua University, Beijing, China

    Xinjun Liu

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Kong, Q., Yu, Z. (2023). Measuring Error Correction Method During Deflection Measurement Process of the Regular Hexagon Section Shaft Based on Lever-Type Measuring Mechanism. In: Liu, X. (eds) Advances in Mechanism, Machine Science and Engineering in China. CCMMS 2022. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-19-9398-5_16

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  • DOI: https://doi.org/10.1007/978-981-19-9398-5_16

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-19-9397-8

  • Online ISBN: 978-981-19-9398-5

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