Nonlinear vibration of the bevel gear with teeth profile modification
The prediction of gear vibration and noise has always been a major concern in gear design. Noise and vibration are inevitable problems that are involved in transmission systems; they have intensified when some nonlinear phenomena such as jump phenomenon, tooth separation and period-doubling bifurcat...
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| Veröffentlicht in: | Nonlinear dynamics 2016-03, Vol.83 (4), p.1875-1884 |
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| container_title | Nonlinear dynamics |
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| creator | Motahar, Habibollah Samani, Farhad S. Molaie, Moslem |
| description | The prediction of gear vibration and noise has always been a major concern in gear design. Noise and vibration are inevitable problems that are involved in transmission systems; they have intensified when some nonlinear phenomena such as jump phenomenon, tooth separation and period-doubling bifurcation appear in the system. Tip and/or root modifications are well-known solutions that improve dynamic performance of gears. The present work investigates the complex, nonlinear dynamic behavior of three bevel gear models: (1) model with pure involute profile, (2) model with statically optimized tooth profile, and (3) model with dynamically optimized tooth profile. Tooth profile modification is employed in models by means of genetic algorithm in order to extract the best amount and length of modifications. The dynamic responses obtained from dynamic analyzer were compared qualitatively and quantitatively. By augmenting tooth profile modification, the average value of the dynamic responses is decreased intensely for both statically and dynamically optimized gear pairs. Dynamic load factor is calculated and compared with the involute tooth profile model and the two optimized gear sets. Employing teeth optimization leads to elimination of period-
2
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in both optimized simulations. |
| doi_str_mv | 10.1007/s11071-015-2452-z |
| format | Article |
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2
T
m
in both optimized simulations.</description><identifier>ISSN: 0924-090X</identifier><identifier>EISSN: 1573-269X</identifier><identifier>DOI: 10.1007/s11071-015-2452-z</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Automotive Engineering ; Bevel gears ; Bifurcations ; Classical Mechanics ; Computer simulation ; Control ; Dynamic loads ; Dynamical Systems ; Dynamics ; Engineering ; Gear teeth ; Gears ; Genetic algorithms ; Involutes ; Mathematical models ; Mechanical Engineering ; Noise prediction ; Nonlinear dynamics ; Nonlinear phenomena ; Optimization ; Original Paper ; Vibration ; Vibration control</subject><ispartof>Nonlinear dynamics, 2016-03, Vol.83 (4), p.1875-1884</ispartof><rights>Springer Science+Business Media Dordrecht 2015</rights><rights>Nonlinear Dynamics is a copyright of Springer, (2015). All Rights Reserved.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c419t-d17fc74cc5241f258064e15457c487397c5c6c3b152d5a7c2d3c04b54786937f3</citedby><cites>FETCH-LOGICAL-c419t-d17fc74cc5241f258064e15457c487397c5c6c3b152d5a7c2d3c04b54786937f3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s11071-015-2452-z$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11071-015-2452-z$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27903,27904,41467,42536,51298</link.rule.ids></links><search><creatorcontrib>Motahar, Habibollah</creatorcontrib><creatorcontrib>Samani, Farhad S.</creatorcontrib><creatorcontrib>Molaie, Moslem</creatorcontrib><title>Nonlinear vibration of the bevel gear with teeth profile modification</title><title>Nonlinear dynamics</title><addtitle>Nonlinear Dyn</addtitle><description>The prediction of gear vibration and noise has always been a major concern in gear design. Noise and vibration are inevitable problems that are involved in transmission systems; they have intensified when some nonlinear phenomena such as jump phenomenon, tooth separation and period-doubling bifurcation appear in the system. Tip and/or root modifications are well-known solutions that improve dynamic performance of gears. The present work investigates the complex, nonlinear dynamic behavior of three bevel gear models: (1) model with pure involute profile, (2) model with statically optimized tooth profile, and (3) model with dynamically optimized tooth profile. Tooth profile modification is employed in models by means of genetic algorithm in order to extract the best amount and length of modifications. The dynamic responses obtained from dynamic analyzer were compared qualitatively and quantitatively. By augmenting tooth profile modification, the average value of the dynamic responses is decreased intensely for both statically and dynamically optimized gear pairs. Dynamic load factor is calculated and compared with the involute tooth profile model and the two optimized gear sets. Employing teeth optimization leads to elimination of period-
2
T
m
in both optimized simulations.</description><subject>Automotive Engineering</subject><subject>Bevel gears</subject><subject>Bifurcations</subject><subject>Classical Mechanics</subject><subject>Computer simulation</subject><subject>Control</subject><subject>Dynamic loads</subject><subject>Dynamical Systems</subject><subject>Dynamics</subject><subject>Engineering</subject><subject>Gear teeth</subject><subject>Gears</subject><subject>Genetic algorithms</subject><subject>Involutes</subject><subject>Mathematical models</subject><subject>Mechanical Engineering</subject><subject>Noise prediction</subject><subject>Nonlinear dynamics</subject><subject>Nonlinear phenomena</subject><subject>Optimization</subject><subject>Original Paper</subject><subject>Vibration</subject><subject>Vibration control</subject><issn>0924-090X</issn><issn>1573-269X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>AFKRA</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp1kEtLAzEUhYMoWKs_wN2AGzfRm1czWUqpDyi6UeguzGSSNmU6qcm0Yn-9M44gCC7uvYt7zuHwIXRJ4IYAyNtECEiCgQhMuaD4cIRGREiG6UQtjtEIFOUYFCxO0VlKawBgFPIRmj2HpvaNLWK292UsWh-aLLisXdmstHtbZ8v-9-HbVdZa2-1tDM7XNtuEyjtvvh3n6MQVdbIXP3eM3u5nr9NHPH95eJrezbHhRLW4ItIZyY0RlBNHRQ4TbongQhqeS6akEWZiWEkErUQhDa2YAV4KLvOJYtKxMboecrsS7zubWr3xydi6LhobdkmTHHKQrJ8xuvojXYddbLp2mlKhOFWKsE5FBpWJIaVond5Gvynipyage7B6AKs7sLoHqw-dhw6e1GmbpY2_yf-bvgBYzno2</recordid><startdate>20160301</startdate><enddate>20160301</enddate><creator>Motahar, Habibollah</creator><creator>Samani, Farhad S.</creator><creator>Molaie, Moslem</creator><general>Springer Netherlands</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20160301</creationdate><title>Nonlinear vibration of the bevel gear with teeth profile modification</title><author>Motahar, Habibollah ; Samani, Farhad S. ; Molaie, Moslem</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c419t-d17fc74cc5241f258064e15457c487397c5c6c3b152d5a7c2d3c04b54786937f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Automotive Engineering</topic><topic>Bevel gears</topic><topic>Bifurcations</topic><topic>Classical Mechanics</topic><topic>Computer simulation</topic><topic>Control</topic><topic>Dynamic loads</topic><topic>Dynamical Systems</topic><topic>Dynamics</topic><topic>Engineering</topic><topic>Gear teeth</topic><topic>Gears</topic><topic>Genetic algorithms</topic><topic>Involutes</topic><topic>Mathematical models</topic><topic>Mechanical Engineering</topic><topic>Noise prediction</topic><topic>Nonlinear dynamics</topic><topic>Nonlinear phenomena</topic><topic>Optimization</topic><topic>Original Paper</topic><topic>Vibration</topic><topic>Vibration control</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Motahar, Habibollah</creatorcontrib><creatorcontrib>Samani, Farhad S.</creatorcontrib><creatorcontrib>Molaie, Moslem</creatorcontrib><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Nonlinear dynamics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Motahar, Habibollah</au><au>Samani, Farhad S.</au><au>Molaie, Moslem</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Nonlinear vibration of the bevel gear with teeth profile modification</atitle><jtitle>Nonlinear dynamics</jtitle><stitle>Nonlinear Dyn</stitle><date>2016-03-01</date><risdate>2016</risdate><volume>83</volume><issue>4</issue><spage>1875</spage><epage>1884</epage><pages>1875-1884</pages><issn>0924-090X</issn><eissn>1573-269X</eissn><abstract>The prediction of gear vibration and noise has always been a major concern in gear design. Noise and vibration are inevitable problems that are involved in transmission systems; they have intensified when some nonlinear phenomena such as jump phenomenon, tooth separation and period-doubling bifurcation appear in the system. Tip and/or root modifications are well-known solutions that improve dynamic performance of gears. The present work investigates the complex, nonlinear dynamic behavior of three bevel gear models: (1) model with pure involute profile, (2) model with statically optimized tooth profile, and (3) model with dynamically optimized tooth profile. Tooth profile modification is employed in models by means of genetic algorithm in order to extract the best amount and length of modifications. The dynamic responses obtained from dynamic analyzer were compared qualitatively and quantitatively. By augmenting tooth profile modification, the average value of the dynamic responses is decreased intensely for both statically and dynamically optimized gear pairs. Dynamic load factor is calculated and compared with the involute tooth profile model and the two optimized gear sets. Employing teeth optimization leads to elimination of period-
2
T
m
in both optimized simulations.</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s11071-015-2452-z</doi><tpages>10</tpages></addata></record> |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Automotive Engineering Bevel gears Bifurcations Classical Mechanics Computer simulation Control Dynamic loads Dynamical Systems Dynamics Engineering Gear teeth Gears Genetic algorithms Involutes Mathematical models Mechanical Engineering Noise prediction Nonlinear dynamics Nonlinear phenomena Optimization Original Paper Vibration Vibration control |
| title | Nonlinear vibration of the bevel gear with teeth profile modification |
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