Modeling and control of crank–slider mechanism with multiple clearance joints

In the current study, the behavior of a crank–slider mechanism with single and multiple clearance joints is analyzed. For this purpose nonlinear dynamics of the system are discussed, using Poincare maps and bifurcation diagrams. Subsequently, the effects of joint friction on dynamical behavior and nonlinear response of the mechanism are investigated. Afterward, a control scheme providing continuous contact in joints, with the aim of maintaining a more stable behavior, is proposed. The control scheme is easy to apply and, since continuous contact between bodies in joints is established, several undesired effects normally caused because of clearance joints are prevented or reduced. Also the limitation of the proposed control method is investigated.

[1]  H. Hertz Ueber die Berührung fester elastischer Körper. , 1882 .

[2]  Hertz On the Contact of Elastic Solids , 1882 .

[3]  Ferdinand Freudenstein,et al.  Dynamic Analysis of Mechanical Systems With Clearances—Part 1: Formation of Dynamic Model , 1971 .

[4]  S. Dubowsky On Predicting the Dynamic Effects of Clearances in Planar Mechanisms , 1974 .

[5]  D. C. Threlfall,et al.  The inclusion of Coulomb friction in mechanisms programs with particular reference to DRAM au programme DRAM , 1978 .

[6]  G. T. Rooney,et al.  Coulomb friction in mechanism sliding joints , 1982 .

[7]  B. Kwak,et al.  COUNTERWEIGHT OPTIMIZATION FOR REDUCING DYNAMIC EFFECTS OF CLEARANCE AT A REVOLUTE JOINT , 1987 .

[8]  Hamid M. Lankarani,et al.  A Contact Force Model With Hysteresis Damping for Impact Analysis of Multibody Systems , 1989 .

[9]  L. Seneviratne,et al.  Chaotic behaviour exhibited during contact loss in a clearance joint of a four-bar mechanism , 1992 .

[10]  Bai Shixian,et al.  Optimum balancing of linkages with clearances , 1992 .

[11]  S. Shaw,et al.  Chaotic and periodic dynamics of a slider-crank mechanism with slider clearance , 1994 .

[12]  Robert C. Hilborn,et al.  Chaos And Nonlinear Dynamics: An Introduction for Scientists and Engineers , 1994 .

[13]  Yong-San Yoon,et al.  Reduction of the joint clearance effect for a planar flexible mechanism , 1995 .

[14]  Peter Ravn,et al.  A Continuous Analysis Method for Planar Multibody Systems with Joint Clearance , 1998 .

[15]  Robert C. Hilborn,et al.  Chaos and Nonlinear Dynamics , 2000 .

[16]  Jorge Ambrósio,et al.  Impact of Rigid and Flexible Multibody Systems: Deformation Description and Contact Models , 2003 .

[17]  J. Ambrósio,et al.  Modelling lubricated revolute joints in multibody mechanical systems , 2004 .

[18]  J. C. García Orden,et al.  Analysis of Joint Clearances in Multibody Systems , 2005 .

[19]  M. Fox Development of the diesel fuel additive lubricity model , 2007 .

[20]  Jorge Ambrósio,et al.  Dynamic behaviour of planar rigid multi-body systems including revolute joints with clearance , 2007 .

[21]  P. Flores Kinematics and Dynamics of Multibody Systems with Imperfect Joints: Models and Case Studies , 2008 .

[22]  Shuming Gao,et al.  Detachment avoidance of joint elements of a robotic manipulator with clearances based on trajectory planning , 2010 .

[23]  Selçuk Erkaya,et al.  Experimental investigation of joint clearance effects on the dynamics of a slider-crank mechanism , 2010 .

[24]  H. Lankarani,et al.  Spatial rigid-multibody systems with lubricated spherical clearance joints: modeling and simulation , 2010 .

[25]  J. Ambrósio,et al.  A mathematical framework for rigid contact detection between quadric and superquadric surfaces , 2010 .

[26]  Mihai Dupac,et al.  Dynamic analysis of a flexible linkage mechanism with cracks and clearance , 2010 .

[27]  Jorge Ambrósio,et al.  Numerical and experimental investigation on multibody systems with revolute clearance joints , 2011 .

[28]  Margarida F. Machado,et al.  On the continuous contact force models for soft materials in multibody dynamics , 2011 .

[29]  Zhaohui Qi,et al.  Frictional contact analysis of spatial prismatic joints in multibody systems , 2011 .

[30]  Hamid M. Lankarani,et al.  Dynamic Response of Multibody Systems With Multiple Clearance Joints , 2011 .

[31]  John Kihiu,et al.  Effects of Clearance Size on the Dynamic Response of Planar Multi-body Systems with Differently Located Frictionless Revolute Clearance Joints , 2012 .

[32]  Onesmus Muvengei,et al.  Dynamic analysis of planar multi-body systems with LuGre friction at differently located revolute clearance joints , 2012 .

[33]  M. Ghazavi,et al.  Stabilizing slider-crank mechanism with clearance joints , 2012 .

[34]  Qiang Tian,et al.  Dynamics and control of a spatial rigid-flexible multibody system with multiple cylindrical clearance joints , 2012 .

[35]  Hamid M. Lankarani,et al.  Compliant contact force models in multibody dynamics : evolution of the Hertz contact theory , 2012 .

[36]  C. S. Koshy,et al.  Study of the effect of contact force model on the dynamic response of mechanical systems with dry clearance joints: computational and experimental approaches , 2013 .

[37]  C. Liu,et al.  ElastoHydroDynamic lubricated cylindrical joints for rigid-flexible multibody dynamics , 2013 .

[38]  Bernd Sauer,et al.  Modeling planar slider-crank mechanisms with clearance joints in RecurDyn , 2014 .

[39]  Liang Xu,et al.  A Kriging Model for Dynamics of Mechanical Systems With Revolute Joint Clearances , 2014 .