A universal kinematic analysis of geared mechanisms
Abstract A methodology for the kinematic analysis of planetary gear trains is presented. First, a definition for the gear train entity (GTE) is introduced, using the planet gears as the dividing element. Second, it is shown that the speed ratio of a GTE can simply be expressed symbolically in terms...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Esmail, Essam L. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017 |
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| Schlagwörter: |
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| Anmerkung: |
© The Brazilian Society of Mechanical Sciences and Engineering 2017 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of the Brazilian Society of Mechanical Sciences and Engineering - Berlin : Springer, 2003, 39(2017), 6 vom: 24. Jan., Seite 2253-2258 |
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| Übergeordnetes Werk: |
volume:39 ; year:2017 ; number:6 ; day:24 ; month:01 ; pages:2253-2258 |
| Links: |
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| DOI / URN: |
10.1007/s40430-017-0711-2 |
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| Katalog-ID: |
SPR036454087 |
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| 100 | 1 | |a Esmail, Essam L. |e verfasserin |4 aut | |
| 245 | 1 | 2 | |a A universal kinematic analysis of geared mechanisms |
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| 520 | |a Abstract A methodology for the kinematic analysis of planetary gear trains is presented. First, a definition for the gear train entity (GTE) is introduced, using the planet gears as the dividing element. Second, it is shown that the speed ratio of a GTE can simply be expressed symbolically in terms of its planet gear ratios. Then, for any planetary configuration, however complex, a single governing kinematic equation is developed, which then is manipulated to determine all possible overall speed ratios. Algebraic expressions for the speed ratios, of any GTE and/or planetary gear mechanism, can be obtained in terms of the teeth numbers, easily. Finally, three examples are presented; one includes a complicated fifteen-link PGT, to illustrate the simplicity of the method, the other compares the results of a bevel gear train with those of previous study. | ||
| 650 | 4 | |a Bevel gear train |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Gear ratio |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Gear pair entity |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Gear train entity |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Kinematic analysis |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Planet gear ratio |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Planetary gear train |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Planetary gear mechanism |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Speed ratio |7 (dpeaa)DE-He213 | |
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10.1007/s40430-017-0711-2 doi (DE-627)SPR036454087 (SPR)s40430-017-0711-2-e DE-627 ger DE-627 rakwb eng Esmail, Essam L. verfasserin aut A universal kinematic analysis of geared mechanisms 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Brazilian Society of Mechanical Sciences and Engineering 2017 Abstract A methodology for the kinematic analysis of planetary gear trains is presented. First, a definition for the gear train entity (GTE) is introduced, using the planet gears as the dividing element. Second, it is shown that the speed ratio of a GTE can simply be expressed symbolically in terms of its planet gear ratios. Then, for any planetary configuration, however complex, a single governing kinematic equation is developed, which then is manipulated to determine all possible overall speed ratios. Algebraic expressions for the speed ratios, of any GTE and/or planetary gear mechanism, can be obtained in terms of the teeth numbers, easily. Finally, three examples are presented; one includes a complicated fifteen-link PGT, to illustrate the simplicity of the method, the other compares the results of a bevel gear train with those of previous study. Bevel gear train (dpeaa)DE-He213 Gear ratio (dpeaa)DE-He213 Gear pair entity (dpeaa)DE-He213 Gear train entity (dpeaa)DE-He213 Kinematic analysis (dpeaa)DE-He213 Planet gear ratio (dpeaa)DE-He213 Planetary gear train (dpeaa)DE-He213 Planetary gear mechanism (dpeaa)DE-He213 Speed ratio (dpeaa)DE-He213 Enthalten in Journal of the Brazilian Society of Mechanical Sciences and Engineering Berlin : Springer, 2003 39(2017), 6 vom: 24. Jan., Seite 2253-2258 (DE-627)387477950 (DE-600)2145288-X 1806-3691 nnns volume:39 year:2017 number:6 day:24 month:01 pages:2253-2258 https://dx.doi.org/10.1007/s40430-017-0711-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 39 2017 6 24 01 2253-2258 |
| spelling |
10.1007/s40430-017-0711-2 doi (DE-627)SPR036454087 (SPR)s40430-017-0711-2-e DE-627 ger DE-627 rakwb eng Esmail, Essam L. verfasserin aut A universal kinematic analysis of geared mechanisms 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Brazilian Society of Mechanical Sciences and Engineering 2017 Abstract A methodology for the kinematic analysis of planetary gear trains is presented. First, a definition for the gear train entity (GTE) is introduced, using the planet gears as the dividing element. Second, it is shown that the speed ratio of a GTE can simply be expressed symbolically in terms of its planet gear ratios. Then, for any planetary configuration, however complex, a single governing kinematic equation is developed, which then is manipulated to determine all possible overall speed ratios. Algebraic expressions for the speed ratios, of any GTE and/or planetary gear mechanism, can be obtained in terms of the teeth numbers, easily. Finally, three examples are presented; one includes a complicated fifteen-link PGT, to illustrate the simplicity of the method, the other compares the results of a bevel gear train with those of previous study. Bevel gear train (dpeaa)DE-He213 Gear ratio (dpeaa)DE-He213 Gear pair entity (dpeaa)DE-He213 Gear train entity (dpeaa)DE-He213 Kinematic analysis (dpeaa)DE-He213 Planet gear ratio (dpeaa)DE-He213 Planetary gear train (dpeaa)DE-He213 Planetary gear mechanism (dpeaa)DE-He213 Speed ratio (dpeaa)DE-He213 Enthalten in Journal of the Brazilian Society of Mechanical Sciences and Engineering Berlin : Springer, 2003 39(2017), 6 vom: 24. Jan., Seite 2253-2258 (DE-627)387477950 (DE-600)2145288-X 1806-3691 nnns volume:39 year:2017 number:6 day:24 month:01 pages:2253-2258 https://dx.doi.org/10.1007/s40430-017-0711-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 39 2017 6 24 01 2253-2258 |
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10.1007/s40430-017-0711-2 doi (DE-627)SPR036454087 (SPR)s40430-017-0711-2-e DE-627 ger DE-627 rakwb eng Esmail, Essam L. verfasserin aut A universal kinematic analysis of geared mechanisms 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Brazilian Society of Mechanical Sciences and Engineering 2017 Abstract A methodology for the kinematic analysis of planetary gear trains is presented. First, a definition for the gear train entity (GTE) is introduced, using the planet gears as the dividing element. Second, it is shown that the speed ratio of a GTE can simply be expressed symbolically in terms of its planet gear ratios. Then, for any planetary configuration, however complex, a single governing kinematic equation is developed, which then is manipulated to determine all possible overall speed ratios. Algebraic expressions for the speed ratios, of any GTE and/or planetary gear mechanism, can be obtained in terms of the teeth numbers, easily. Finally, three examples are presented; one includes a complicated fifteen-link PGT, to illustrate the simplicity of the method, the other compares the results of a bevel gear train with those of previous study. Bevel gear train (dpeaa)DE-He213 Gear ratio (dpeaa)DE-He213 Gear pair entity (dpeaa)DE-He213 Gear train entity (dpeaa)DE-He213 Kinematic analysis (dpeaa)DE-He213 Planet gear ratio (dpeaa)DE-He213 Planetary gear train (dpeaa)DE-He213 Planetary gear mechanism (dpeaa)DE-He213 Speed ratio (dpeaa)DE-He213 Enthalten in Journal of the Brazilian Society of Mechanical Sciences and Engineering Berlin : Springer, 2003 39(2017), 6 vom: 24. Jan., Seite 2253-2258 (DE-627)387477950 (DE-600)2145288-X 1806-3691 nnns volume:39 year:2017 number:6 day:24 month:01 pages:2253-2258 https://dx.doi.org/10.1007/s40430-017-0711-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 39 2017 6 24 01 2253-2258 |
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10.1007/s40430-017-0711-2 doi (DE-627)SPR036454087 (SPR)s40430-017-0711-2-e DE-627 ger DE-627 rakwb eng Esmail, Essam L. verfasserin aut A universal kinematic analysis of geared mechanisms 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Brazilian Society of Mechanical Sciences and Engineering 2017 Abstract A methodology for the kinematic analysis of planetary gear trains is presented. First, a definition for the gear train entity (GTE) is introduced, using the planet gears as the dividing element. Second, it is shown that the speed ratio of a GTE can simply be expressed symbolically in terms of its planet gear ratios. Then, for any planetary configuration, however complex, a single governing kinematic equation is developed, which then is manipulated to determine all possible overall speed ratios. Algebraic expressions for the speed ratios, of any GTE and/or planetary gear mechanism, can be obtained in terms of the teeth numbers, easily. Finally, three examples are presented; one includes a complicated fifteen-link PGT, to illustrate the simplicity of the method, the other compares the results of a bevel gear train with those of previous study. Bevel gear train (dpeaa)DE-He213 Gear ratio (dpeaa)DE-He213 Gear pair entity (dpeaa)DE-He213 Gear train entity (dpeaa)DE-He213 Kinematic analysis (dpeaa)DE-He213 Planet gear ratio (dpeaa)DE-He213 Planetary gear train (dpeaa)DE-He213 Planetary gear mechanism (dpeaa)DE-He213 Speed ratio (dpeaa)DE-He213 Enthalten in Journal of the Brazilian Society of Mechanical Sciences and Engineering Berlin : Springer, 2003 39(2017), 6 vom: 24. Jan., Seite 2253-2258 (DE-627)387477950 (DE-600)2145288-X 1806-3691 nnns volume:39 year:2017 number:6 day:24 month:01 pages:2253-2258 https://dx.doi.org/10.1007/s40430-017-0711-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 39 2017 6 24 01 2253-2258 |
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10.1007/s40430-017-0711-2 doi (DE-627)SPR036454087 (SPR)s40430-017-0711-2-e DE-627 ger DE-627 rakwb eng Esmail, Essam L. verfasserin aut A universal kinematic analysis of geared mechanisms 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Brazilian Society of Mechanical Sciences and Engineering 2017 Abstract A methodology for the kinematic analysis of planetary gear trains is presented. First, a definition for the gear train entity (GTE) is introduced, using the planet gears as the dividing element. Second, it is shown that the speed ratio of a GTE can simply be expressed symbolically in terms of its planet gear ratios. Then, for any planetary configuration, however complex, a single governing kinematic equation is developed, which then is manipulated to determine all possible overall speed ratios. Algebraic expressions for the speed ratios, of any GTE and/or planetary gear mechanism, can be obtained in terms of the teeth numbers, easily. Finally, three examples are presented; one includes a complicated fifteen-link PGT, to illustrate the simplicity of the method, the other compares the results of a bevel gear train with those of previous study. Bevel gear train (dpeaa)DE-He213 Gear ratio (dpeaa)DE-He213 Gear pair entity (dpeaa)DE-He213 Gear train entity (dpeaa)DE-He213 Kinematic analysis (dpeaa)DE-He213 Planet gear ratio (dpeaa)DE-He213 Planetary gear train (dpeaa)DE-He213 Planetary gear mechanism (dpeaa)DE-He213 Speed ratio (dpeaa)DE-He213 Enthalten in Journal of the Brazilian Society of Mechanical Sciences and Engineering Berlin : Springer, 2003 39(2017), 6 vom: 24. Jan., Seite 2253-2258 (DE-627)387477950 (DE-600)2145288-X 1806-3691 nnns volume:39 year:2017 number:6 day:24 month:01 pages:2253-2258 https://dx.doi.org/10.1007/s40430-017-0711-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 39 2017 6 24 01 2253-2258 |
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| author |
Esmail, Essam L. |
| spellingShingle |
Esmail, Essam L. misc Bevel gear train misc Gear ratio misc Gear pair entity misc Gear train entity misc Kinematic analysis misc Planet gear ratio misc Planetary gear train misc Planetary gear mechanism misc Speed ratio A universal kinematic analysis of geared mechanisms |
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A universal kinematic analysis of geared mechanisms Bevel gear train (dpeaa)DE-He213 Gear ratio (dpeaa)DE-He213 Gear pair entity (dpeaa)DE-He213 Gear train entity (dpeaa)DE-He213 Kinematic analysis (dpeaa)DE-He213 Planet gear ratio (dpeaa)DE-He213 Planetary gear train (dpeaa)DE-He213 Planetary gear mechanism (dpeaa)DE-He213 Speed ratio (dpeaa)DE-He213 |
| topic |
misc Bevel gear train misc Gear ratio misc Gear pair entity misc Gear train entity misc Kinematic analysis misc Planet gear ratio misc Planetary gear train misc Planetary gear mechanism misc Speed ratio |
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misc Bevel gear train misc Gear ratio misc Gear pair entity misc Gear train entity misc Kinematic analysis misc Planet gear ratio misc Planetary gear train misc Planetary gear mechanism misc Speed ratio |
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misc Bevel gear train misc Gear ratio misc Gear pair entity misc Gear train entity misc Kinematic analysis misc Planet gear ratio misc Planetary gear train misc Planetary gear mechanism misc Speed ratio |
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A universal kinematic analysis of geared mechanisms |
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Esmail, Essam L. |
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Esmail, Essam L. |
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10.1007/s40430-017-0711-2 |
| title_sort |
universal kinematic analysis of geared mechanisms |
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A universal kinematic analysis of geared mechanisms |
| abstract |
Abstract A methodology for the kinematic analysis of planetary gear trains is presented. First, a definition for the gear train entity (GTE) is introduced, using the planet gears as the dividing element. Second, it is shown that the speed ratio of a GTE can simply be expressed symbolically in terms of its planet gear ratios. Then, for any planetary configuration, however complex, a single governing kinematic equation is developed, which then is manipulated to determine all possible overall speed ratios. Algebraic expressions for the speed ratios, of any GTE and/or planetary gear mechanism, can be obtained in terms of the teeth numbers, easily. Finally, three examples are presented; one includes a complicated fifteen-link PGT, to illustrate the simplicity of the method, the other compares the results of a bevel gear train with those of previous study. © The Brazilian Society of Mechanical Sciences and Engineering 2017 |
| abstractGer |
Abstract A methodology for the kinematic analysis of planetary gear trains is presented. First, a definition for the gear train entity (GTE) is introduced, using the planet gears as the dividing element. Second, it is shown that the speed ratio of a GTE can simply be expressed symbolically in terms of its planet gear ratios. Then, for any planetary configuration, however complex, a single governing kinematic equation is developed, which then is manipulated to determine all possible overall speed ratios. Algebraic expressions for the speed ratios, of any GTE and/or planetary gear mechanism, can be obtained in terms of the teeth numbers, easily. Finally, three examples are presented; one includes a complicated fifteen-link PGT, to illustrate the simplicity of the method, the other compares the results of a bevel gear train with those of previous study. © The Brazilian Society of Mechanical Sciences and Engineering 2017 |
| abstract_unstemmed |
Abstract A methodology for the kinematic analysis of planetary gear trains is presented. First, a definition for the gear train entity (GTE) is introduced, using the planet gears as the dividing element. Second, it is shown that the speed ratio of a GTE can simply be expressed symbolically in terms of its planet gear ratios. Then, for any planetary configuration, however complex, a single governing kinematic equation is developed, which then is manipulated to determine all possible overall speed ratios. Algebraic expressions for the speed ratios, of any GTE and/or planetary gear mechanism, can be obtained in terms of the teeth numbers, easily. Finally, three examples are presented; one includes a complicated fifteen-link PGT, to illustrate the simplicity of the method, the other compares the results of a bevel gear train with those of previous study. © The Brazilian Society of Mechanical Sciences and Engineering 2017 |
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A universal kinematic analysis of geared mechanisms |
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https://dx.doi.org/10.1007/s40430-017-0711-2 |
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| doi_str |
10.1007/s40430-017-0711-2 |
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2024-07-03T17:43:02.379Z |
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