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Article: Motion of a rectangular bar under traction on a horizontal plane

TitleMotion of a rectangular bar under traction on a horizontal plane
Authors
Keywordscomputer simulation
dynamics of pushing and pulling operations
frictional effects
high speed automation
instantaneous centre of rotation
numerical integration
predictor-corrector method
Issue Date1990
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/mcm
Citation
Mathematical And Computer Modelling, 1990, v. 14 C, p. 995-1001 How to Cite?
AbstractThis paper forms part of a study into how components move when pushed or pulled. It extends previous work by other authors, who have studied quasi-static pushing, by addressing the dynamics of pulling. In particular, dynamic models are developed for a rectangular bar lying flat on a horizontal planar support and acted upon by a tractive force. Initially, the equations of motion of the bar, a set of six coupled non-linear first order ODEs, are derived by ignoring friction between the bar and the support. The results of numerically integrating the equations to find the bar's trajectory are presented. The integration was implemented using the Bulirsch-Stoer Method. The numerical results show good agreement with closed-form solutions obtained by linearising the equations of motion for small angular displacements. The problem of rough support surfaces is then treated. Expressions for the frictional force and moment exerted on the bar are found in terms of R and α, the polar coordinates of the centre of mass (C.M.) of the bar relative to its instantaneous centre of rotation (C.O.R.). These expressions are used to construct a new set of equations of motion. Two methods of obtaining the trajectory of the bar are described. The first involves direct numerical integration of the equations of motion, as in the case of frictionless supports. The second is based on explicitly searching for R and α using the equations of motion. © 1990.
Persistent Identifierhttp://hdl.handle.net/10722/91369
ISSN
2015 Impact Factor: 1.366
2015 SCImago Journal Rankings: 0.643

 

DC FieldValueLanguage
dc.contributor.authorPham, DTen_HK
dc.contributor.authorCheung, KCen_HK
dc.date.accessioned2010-09-17T10:18:04Z-
dc.date.available2010-09-17T10:18:04Z-
dc.date.issued1990en_HK
dc.identifier.citationMathematical And Computer Modelling, 1990, v. 14 C, p. 995-1001en_HK
dc.identifier.issn0895-7177en_HK
dc.identifier.urihttp://hdl.handle.net/10722/91369-
dc.description.abstractThis paper forms part of a study into how components move when pushed or pulled. It extends previous work by other authors, who have studied quasi-static pushing, by addressing the dynamics of pulling. In particular, dynamic models are developed for a rectangular bar lying flat on a horizontal planar support and acted upon by a tractive force. Initially, the equations of motion of the bar, a set of six coupled non-linear first order ODEs, are derived by ignoring friction between the bar and the support. The results of numerically integrating the equations to find the bar's trajectory are presented. The integration was implemented using the Bulirsch-Stoer Method. The numerical results show good agreement with closed-form solutions obtained by linearising the equations of motion for small angular displacements. The problem of rough support surfaces is then treated. Expressions for the frictional force and moment exerted on the bar are found in terms of R and α, the polar coordinates of the centre of mass (C.M.) of the bar relative to its instantaneous centre of rotation (C.O.R.). These expressions are used to construct a new set of equations of motion. Two methods of obtaining the trajectory of the bar are described. The first involves direct numerical integration of the equations of motion, as in the case of frictionless supports. The second is based on explicitly searching for R and α using the equations of motion. © 1990.en_HK
dc.languageengen_HK
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/mcmen_HK
dc.relation.ispartofMathematical and Computer Modellingen_HK
dc.subjectcomputer simulationen_HK
dc.subjectdynamics of pushing and pulling operationsen_HK
dc.subjectfrictional effectsen_HK
dc.subjecthigh speed automationen_HK
dc.subjectinstantaneous centre of rotationen_HK
dc.subjectnumerical integrationen_HK
dc.subjectpredictor-corrector methoden_HK
dc.titleMotion of a rectangular bar under traction on a horizontal planeen_HK
dc.typeArticleen_HK
dc.identifier.emailCheung, KC:kccheung@hkucc.hku.hken_HK
dc.identifier.authorityCheung, KC=rp01322en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.scopuseid_2-s2.0-44949269770en_HK
dc.identifier.volume14en_HK
dc.identifier.issueCen_HK
dc.identifier.spage995en_HK
dc.identifier.epage1001en_HK
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridPham, DT=7203009688en_HK
dc.identifier.scopusauthoridCheung, KC=7402406698en_HK

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