A New Universal Formula of Degree of Freedom for Planar Mechanism
Without taking into account of redundant constraints,common constraints and isolated degree of freedom（DOF）,the traditional DOF calculation formulas are inefficient in calculating the DOF of planar mechanism in certain complicated cases.In addition,recalculating is needed when the configuration of m...
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| Format: | Article |
| Language: | zho |
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Editorial Office of Journal of Mechanical Transmission
2015-01-01
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| Series: | Jixie chuandong |
| Subjects: | |
| Online Access: | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2015.03.031 |
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| author | Han Qing Li Tiancheng |
| author_facet | Han Qing Li Tiancheng |
| author_sort | Han Qing |
| collection | DOAJ |
| description | Without taking into account of redundant constraints,common constraints and isolated degree of freedom（DOF）,the traditional DOF calculation formulas are inefficient in calculating the DOF of planar mechanism in certain complicated cases.In addition,recalculating is needed when the configuration of mechanisms is changed.To solve these problems,a novel universal formula of DOF for planar mechanisms is presented based on the effectiveness impact of the components on the relation of input and output motion of mechanism.The algebraic relationship between redundant constraints,common constraints,partial DOF and the DOF of mechanism is studied respectively.The valid components,valid loops and higher pairs are defined as formula variables.The new formula does not need to calculate compound hinges and lower pairs and overcomes the invalidity of traditional formulas,which can be used directly for all kinds of planar mechanisms.In addition,by defining valid loops of mechanisms,the new formula emphasizes the impact of components,the basic unit of mechanisms,on the DOF of mechanism,which can avoid recalculating when the configuration of mechanisms is slightly changed.Contrast examples are presented to show the simplicity and validity of the new formula,which can be applied to ad-hoc planar mechanisms that couldn’t be solved by traditional formulas. |
| format | Article |
| id | doaj-art-a963b254bfe24c868e986851501acad5 |
| institution | Kabale University |
| issn | 1004-2539 |
| language | zho |
| publishDate | 2015-01-01 |
| publisher | Editorial Office of Journal of Mechanical Transmission |
| record_format | Article |
| series | Jixie chuandong |
| spelling | doaj-art-a963b254bfe24c868e986851501acad52025-01-10T14:08:27ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392015-01-013915315729915848A New Universal Formula of Degree of Freedom for Planar MechanismHan QingLi TianchengWithout taking into account of redundant constraints,common constraints and isolated degree of freedom（DOF）,the traditional DOF calculation formulas are inefficient in calculating the DOF of planar mechanism in certain complicated cases.In addition,recalculating is needed when the configuration of mechanisms is changed.To solve these problems,a novel universal formula of DOF for planar mechanisms is presented based on the effectiveness impact of the components on the relation of input and output motion of mechanism.The algebraic relationship between redundant constraints,common constraints,partial DOF and the DOF of mechanism is studied respectively.The valid components,valid loops and higher pairs are defined as formula variables.The new formula does not need to calculate compound hinges and lower pairs and overcomes the invalidity of traditional formulas,which can be used directly for all kinds of planar mechanisms.In addition,by defining valid loops of mechanisms,the new formula emphasizes the impact of components,the basic unit of mechanisms,on the DOF of mechanism,which can avoid recalculating when the configuration of mechanisms is slightly changed.Contrast examples are presented to show the simplicity and validity of the new formula,which can be applied to ad-hoc planar mechanisms that couldn’t be solved by traditional formulas.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2015.03.031DOF calculationPlanar mechanismRedundant constraintCommon constraintPartial DOF |
| spellingShingle | Han Qing Li Tiancheng A New Universal Formula of Degree of Freedom for Planar Mechanism Jixie chuandong DOF calculation Planar mechanism Redundant constraint Common constraint Partial DOF |
| title | A New Universal Formula of Degree of Freedom for Planar Mechanism |
| title_full | A New Universal Formula of Degree of Freedom for Planar Mechanism |
| title_fullStr | A New Universal Formula of Degree of Freedom for Planar Mechanism |
| title_full_unstemmed | A New Universal Formula of Degree of Freedom for Planar Mechanism |
| title_short | A New Universal Formula of Degree of Freedom for Planar Mechanism |
| title_sort | new universal formula of degree of freedom for planar mechanism |
| topic | DOF calculation Planar mechanism Redundant constraint Common constraint Partial DOF |
| url | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2015.03.031 |
| work_keys_str_mv | AT hanqing anewuniversalformulaofdegreeoffreedomforplanarmechanism AT litiancheng anewuniversalformulaofdegreeoffreedomforplanarmechanism AT hanqing newuniversalformulaofdegreeoffreedomforplanarmechanism AT litiancheng newuniversalformulaofdegreeoffreedomforplanarmechanism |