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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2021
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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) |
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closed-loop structure joint clearance angular and positional error probability density function Mining engineering. Metallurgy TN1-997 |
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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 |
_version_ |
1718411292267511808 |