Calculation of Mobility on Combined Mechanisms Based on the Modified G-K's Formula

Using the modified Grübler-Kutzbach's formula of mechanism mobility, the calculation of the mobility of combined mechanism may produce wrong results. In order to correctly calculate the mobility of combined mechanism, and to consider that the calculation method of the mobility of combined mecha...

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Main Author: Xu Zhaotang
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2023-05-01
Series:Jixie chuandong
Subjects:
Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2023.05.011
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author Xu Zhaotang
author_facet Xu Zhaotang
author_sort Xu Zhaotang
collection DOAJ
description Using the modified Grübler-Kutzbach's formula of mechanism mobility, the calculation of the mobility of combined mechanism may produce wrong results. In order to correctly calculate the mobility of combined mechanism, and to consider that the calculation method of the mobility of combined mechanism is convenient for engineers for study and application, according to the modified Grübler-Kutzbach's formula of the mechanism mobility, the calculation formula of mobility of combined mechanism is deduced. The general calculation formula of mobility of mechanism is obtained. The attentions of calculating mobility of combined mechanism are proposed. The method of dividing the combined mechanism into basic mechanisms is given. Numerical examples are given. The modified Grübler-Kutzbach's formula of mechanism mobility can only be used to calculate mobility of a basic mechanism, and to calculate mobility of combined mechanism in that each basic mechanism has the same common constraint. The mobility of general combined mechanism should be calculated by the calculation formula of mobility of combined mechanism. The mobility of combined mechanism is equal to the sum of the mobility of each basic mechanism.
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institution Kabale University
issn 1004-2539
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publishDate 2023-05-01
publisher Editorial Office of Journal of Mechanical Transmission
record_format Article
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spelling doaj-art-dcb014d32d9b4f268548c28bb1b5b21e2025-01-10T14:58:05ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392023-05-0147626638199849Calculation of Mobility on Combined Mechanisms Based on the Modified G-K's FormulaXu ZhaotangUsing the modified Grübler-Kutzbach's formula of mechanism mobility, the calculation of the mobility of combined mechanism may produce wrong results. In order to correctly calculate the mobility of combined mechanism, and to consider that the calculation method of the mobility of combined mechanism is convenient for engineers for study and application, according to the modified Grübler-Kutzbach's formula of the mechanism mobility, the calculation formula of mobility of combined mechanism is deduced. The general calculation formula of mobility of mechanism is obtained. The attentions of calculating mobility of combined mechanism are proposed. The method of dividing the combined mechanism into basic mechanisms is given. Numerical examples are given. The modified Grübler-Kutzbach's formula of mechanism mobility can only be used to calculate mobility of a basic mechanism, and to calculate mobility of combined mechanism in that each basic mechanism has the same common constraint. The mobility of general combined mechanism should be calculated by the calculation formula of mobility of combined mechanism. The mobility of combined mechanism is equal to the sum of the mobility of each basic mechanism.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2023.05.011Combined mechanismMobilityCalculationBasic mechanismCommon constraint
spellingShingle Xu Zhaotang
Calculation of Mobility on Combined Mechanisms Based on the Modified G-K's Formula
Jixie chuandong
Combined mechanism
Mobility
Calculation
Basic mechanism
Common constraint
title Calculation of Mobility on Combined Mechanisms Based on the Modified G-K's Formula
title_full Calculation of Mobility on Combined Mechanisms Based on the Modified G-K's Formula
title_fullStr Calculation of Mobility on Combined Mechanisms Based on the Modified G-K's Formula
title_full_unstemmed Calculation of Mobility on Combined Mechanisms Based on the Modified G-K's Formula
title_short Calculation of Mobility on Combined Mechanisms Based on the Modified G-K's Formula
title_sort calculation of mobility on combined mechanisms based on the modified g k s formula
topic Combined mechanism
Mobility
Calculation
Basic mechanism
Common constraint
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2023.05.011
work_keys_str_mv AT xuzhaotang calculationofmobilityoncombinedmechanismsbasedonthemodifiedgksformula