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

Authors  
Keywords  computer simulation dynamics of pushing and pulling operations frictional effects high speed automation instantaneous centre of rotation numerical integration predictorcorrector method 
Issue Date  1990 
Publisher  Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/mcm 
Citation  Mathematical And Computer Modelling, 1990, v. 14 C, p. 9951001 How to Cite? 
Abstract  This paper forms part of a study into how components move when pushed or pulled. It extends previous work by other authors, who have studied quasistatic 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 nonlinear 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 BulirschStoer Method. The numerical results show good agreement with closedform 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 Identifier  http://hdl.handle.net/10722/91369 
ISSN  2015 Impact Factor: 1.366 2015 SCImago Journal Rankings: 0.643 
DC Field  Value  Language 

dc.contributor.author  Pham, DT  en_HK 
dc.contributor.author  Cheung, KC  en_HK 
dc.date.accessioned  20100917T10:18:04Z   
dc.date.available  20100917T10:18:04Z   
dc.date.issued  1990  en_HK 
dc.identifier.citation  Mathematical And Computer Modelling, 1990, v. 14 C, p. 9951001  en_HK 
dc.identifier.issn  08957177  en_HK 
dc.identifier.uri  http://hdl.handle.net/10722/91369   
dc.description.abstract  This paper forms part of a study into how components move when pushed or pulled. It extends previous work by other authors, who have studied quasistatic 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 nonlinear 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 BulirschStoer Method. The numerical results show good agreement with closedform 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.language  eng  en_HK 
dc.publisher  Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/mcm  en_HK 
dc.relation.ispartof  Mathematical and Computer Modelling  en_HK 
dc.subject  computer simulation  en_HK 
dc.subject  dynamics of pushing and pulling operations  en_HK 
dc.subject  frictional effects  en_HK 
dc.subject  high speed automation  en_HK 
dc.subject  instantaneous centre of rotation  en_HK 
dc.subject  numerical integration  en_HK 
dc.subject  predictorcorrector method  en_HK 
dc.title  Motion of a rectangular bar under traction on a horizontal plane  en_HK 
dc.type  Article  en_HK 
dc.identifier.email  Cheung, KC:kccheung@hkucc.hku.hk  en_HK 
dc.identifier.authority  Cheung, KC=rp01322  en_HK 
dc.description.nature  link_to_subscribed_fulltext   
dc.identifier.scopus  eid_2s2.044949269770  en_HK 
dc.identifier.volume  14  en_HK 
dc.identifier.issue  C  en_HK 
dc.identifier.spage  995  en_HK 
dc.identifier.epage  1001  en_HK 
dc.publisher.place  United Kingdom  en_HK 
dc.identifier.scopusauthorid  Pham, DT=7203009688  en_HK 
dc.identifier.scopusauthorid  Cheung, KC=7402406698  en_HK 