TY - JOUR
T1 - Coupling dynamics of a geared multibody system supported by ElastoHydroDynamic lubricated cylindrical joints
AU - Tian, Qiang
AU - Xiao, Qianfei
AU - Sun, Yanlei
AU - Hu, Haiyan
AU - Liu, Hui
AU - Flores, Paulo
N1 - Publisher Copyright:
© 2014, Springer Science+Business Media Dordrecht.
PY - 2015/2/12
Y1 - 2015/2/12
N2 - A comprehensive computational methodology to study the coupling dynamics of a geared multibody system supported by ElastoHydroDynamic (EHD) lubricated cylindrical joints is proposed throughout this work. The geared multibody system is described by using the Absolute-Coordinate-Based (ACB) method that combines the Natural Coordinate Formulation (NCF) describing rigid bodies and the Absolute Nodal Coordinate Formulation (ANCF) characterizing the flexible bodies. Based on the finite-short bearing approach, the EHD lubrication condition for the cylindrical joints supporting the geared system is considered here. The lubrication forces developed at the cylindrical joints are obtained by solving the Reynolds’ equation via the finite difference method. For the evaluation of the normal contact forces of gear pair along the Line Of Action (LOA), the time-varying mesh stiffness, mesh damping and Static Transmission Error (STE) are utilized. The time-varying mesh stiffness is calculated by using the Chaari’s methodology. The forces of sliding friction along the Off-Line-Of-Action (OLOA) are computed by using the Coulomb friction models with a time-varying coefficient of friction under the EHD lubrication condition of gear teeth. Finally, two numerical examples of application are presented to demonstrate and validate the proposed methodology.
AB - A comprehensive computational methodology to study the coupling dynamics of a geared multibody system supported by ElastoHydroDynamic (EHD) lubricated cylindrical joints is proposed throughout this work. The geared multibody system is described by using the Absolute-Coordinate-Based (ACB) method that combines the Natural Coordinate Formulation (NCF) describing rigid bodies and the Absolute Nodal Coordinate Formulation (ANCF) characterizing the flexible bodies. Based on the finite-short bearing approach, the EHD lubrication condition for the cylindrical joints supporting the geared system is considered here. The lubrication forces developed at the cylindrical joints are obtained by solving the Reynolds’ equation via the finite difference method. For the evaluation of the normal contact forces of gear pair along the Line Of Action (LOA), the time-varying mesh stiffness, mesh damping and Static Transmission Error (STE) are utilized. The time-varying mesh stiffness is calculated by using the Chaari’s methodology. The forces of sliding friction along the Off-Line-Of-Action (OLOA) are computed by using the Coulomb friction models with a time-varying coefficient of friction under the EHD lubrication condition of gear teeth. Finally, two numerical examples of application are presented to demonstrate and validate the proposed methodology.
KW - Absolute Nodal Coordinate Formulation (ANCF)
KW - ElastoHydroDynamic (EHD) lubrication
KW - Geared multibody system
KW - Sliding frictional force
KW - Time-varying meshing stiffness
UR - http://www.scopus.com/inward/record.url?scp=84922836318&partnerID=8YFLogxK
U2 - 10.1007/s11044-014-9420-0
DO - 10.1007/s11044-014-9420-0
M3 - Article
AN - SCOPUS:84922836318
SN - 1384-5640
VL - 33
SP - 259
EP - 284
JO - Multibody System Dynamics
JF - Multibody System Dynamics
IS - 3
ER -