Error Uncertainty Analysis in Planar Closed-Loop Structure with Joint Clearances

For planar closed-loop structures with clearances, the angular and positional error uncertainties are studied. By using the vector translation method and geometric method, the boundaries of the errors are analyzed. The joint clearance is considered as being distributed uniformly in a circle area. A...

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Autores principales: Yushu Yu, Jinglin Li, Xin Li, Yi Yang
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Lenguaje:EN
Publicado: MDPI AG 2021
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Acceso en línea:https://doaj.org/article/eb5c4512c4aa4013aa2fe04af7f4ce74
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spelling oai:doaj.org-article:eb5c4512c4aa4013aa2fe04af7f4ce742021-11-25T18:22:34ZError Uncertainty Analysis in Planar Closed-Loop Structure with Joint Clearances10.3390/met111118722075-4701https://doaj.org/article/eb5c4512c4aa4013aa2fe04af7f4ce742021-11-01T00:00:00Zhttps://www.mdpi.com/2075-4701/11/11/1872https://doaj.org/toc/2075-4701For planar closed-loop structures with clearances, the angular and positional error uncertainties are studied. By using the vector translation method and geometric method, the boundaries of the errors are analyzed. The joint clearance is considered as being distributed uniformly in a circle area. A virtual link projection method is proposed to deal with the clearance affected length error probability density function (PDF) for open-loop links. The error relationship between open loop and closed loop is established. The open-loop length PDF and the closed-loop angular error PDF both approach being Gaussian distribution if there are many clearances. The angular propagation error of multi-loop structures is also investigated by using convolution. The positional errors of single and multiple loops are both discussed as joint distribution functions. Monte Carlo simulations are conducted to verify the proposed methods.Yushu YuJinglin LiXin LiYi YangMDPI AGarticleclosed-loop structurejoint clearanceangular and positional errorprobability density functionMining engineering. MetallurgyTN1-997ENMetals, Vol 11, Iss 1872, p 1872 (2021)
institution DOAJ
collection DOAJ
language EN
topic closed-loop structure
joint clearance
angular and positional error
probability density function
Mining engineering. Metallurgy
TN1-997
spellingShingle closed-loop structure
joint clearance
angular and positional error
probability density function
Mining engineering. Metallurgy
TN1-997
Yushu Yu
Jinglin Li
Xin Li
Yi Yang
Error Uncertainty Analysis in Planar Closed-Loop Structure with Joint Clearances
description For planar closed-loop structures with clearances, the angular and positional error uncertainties are studied. By using the vector translation method and geometric method, the boundaries of the errors are analyzed. The joint clearance is considered as being distributed uniformly in a circle area. A virtual link projection method is proposed to deal with the clearance affected length error probability density function (PDF) for open-loop links. The error relationship between open loop and closed loop is established. The open-loop length PDF and the closed-loop angular error PDF both approach being Gaussian distribution if there are many clearances. The angular propagation error of multi-loop structures is also investigated by using convolution. The positional errors of single and multiple loops are both discussed as joint distribution functions. Monte Carlo simulations are conducted to verify the proposed methods.
format article
author Yushu Yu
Jinglin Li
Xin Li
Yi Yang
author_facet Yushu Yu
Jinglin Li
Xin Li
Yi Yang
author_sort Yushu Yu
title Error Uncertainty Analysis in Planar Closed-Loop Structure with Joint Clearances
title_short Error Uncertainty Analysis in Planar Closed-Loop Structure with Joint Clearances
title_full Error Uncertainty Analysis in Planar Closed-Loop Structure with Joint Clearances
title_fullStr Error Uncertainty Analysis in Planar Closed-Loop Structure with Joint Clearances
title_full_unstemmed Error Uncertainty Analysis in Planar Closed-Loop Structure with Joint Clearances
title_sort error uncertainty analysis in planar closed-loop structure with joint clearances
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/eb5c4512c4aa4013aa2fe04af7f4ce74
work_keys_str_mv AT yushuyu erroruncertaintyanalysisinplanarclosedloopstructurewithjointclearances
AT jinglinli erroruncertaintyanalysisinplanarclosedloopstructurewithjointclearances
AT xinli erroruncertaintyanalysisinplanarclosedloopstructurewithjointclearances
AT yiyang erroruncertaintyanalysisinplanarclosedloopstructurewithjointclearances
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