• Chinese Optics Letters
  • Vol. 19, Issue 1, 011201 (2021)
Wentao Li and Jian Zhou*
Author Affiliations
  • College of Advanced Interdisciplinary Studies, National University of Defense Technology, Changsha 410073, China
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    DOI: 10.3788/COL202119.011201 Cite this Article Set citation alerts
    Wentao Li, Jian Zhou. Novel laser Doppler tachometer[J]. Chinese Optics Letters, 2021, 19(1): 011201 Copy Citation Text show less

    Abstract

    In order to improve the accuracy and universality of the rotational speed measurement, an instantaneous rotational speed measurement method based on laser Doppler technology is proposed. The composition and working principle of the new system are discussed in detail. Theoretical and experimental results show that the new rotational speed measurement system belongs to the non-contact method, which eliminates the quantization error of the contact method and greatly improves the applicability and accuracy. Compared to the commonly used method, the measurement accuracy of the new rotational speed measurement system will not be affected by the system’s installation angle deviation, and it does not need to measure the radius of the rotating body, so the influence of the radius fluctuation of the rotating body on the measurement accuracy can be avoided while outputting the rotational speed in real time. The relative error of the rotational speed measurement is less than 0.06% (1σ).
    fD=fsfo=1λ|v·(eseo)|,(1)

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    fD1=2v1λ,(2)

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    fD2=2v2λ,(3)

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    fD1=2v1λ=2ωrcosαλ,(4)

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    fD2=2v2λ=2ωrcosβλ.(5)

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    fD1=2ωrcosαλ=2ωAE¯λ,(6)

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    fD2=2ωrcosβλ=2ωCF¯λ=2ωHE¯λ.(7)

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    ΔfD=fD1fD2=2ωAE¯λ2ωHE¯λ=2ωAH¯λ=2ωdλ.(8)

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    ω=λΔfD2d,(9)

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    fD1=2ωmaxrcosαλ50MHz,fD2=2ωminrcosβλ20kHz.(10)

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    ω=λΔfD2d=cΔfD/fi2d=c0ΔfD2nfid=c0(fD1fD2)2nfid,(11)

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    dω=ωd(fD1fD2)fD1fD2ωdnnωd(d)dωdfifi.(12)

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    Wentao Li, Jian Zhou. Novel laser Doppler tachometer[J]. Chinese Optics Letters, 2021, 19(1): 011201
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