Complexity evaluation of nonlinear dynamic behavior of mechanisms with clearance joints by using the fractal method

Dynamic behavior of mechanisms with clearance joints often exhibits nonlinear dynamic characteristics due to the collisions between the journal and bearing. However, previous studies could not quantify the complexity of the dynamic response. In this paper, based on the Poincaré map and correlation dimension, a fractal method is proposed to evaluate the complexity of nonlinear dynamic response of mechanisms with clearance joints. Motion equations of mechanical systems with clearance joints are described. A slider–crank mechanism is employed to demonstrate the efficiency of the fractal method and to discuss the influence of the clearance size and crank speed on the complexity of the dynamic response.

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

[2]  Ferdinand Freudenstein,et al.  Dynamic Analysis of Mechanical Systems With Clearances—Part 2: Dynamic Response , 1971 .

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

[4]  J. N Fawcett,et al.  Dynamics of the slider-crank mechanism with clearance in the sliding bearing , 1974 .

[5]  T. Furuhashi,et al.  Research on Dynamics of Four-Bar Linkage with Clearances at Turning Pairs : 2nd Report, Analysis of Crank-Lever Mechanism with Clearance at Joint of Crank and Coupler Using Continuous Contact Model , 1978 .

[6]  T. Furuhashi,et al.  Research on Dynamics of Four-Bar Linkage with Clearances at Turning Pairs : 1st Report, General Theory using Continuous Contact Model , 1978 .

[7]  T. Furuhashi,et al.  Research on Dynamics of Four-Bar Linkage with Clearances at Turning Pairs : 4th Report, Forces Acting at Joints of Crank-Lever Mechanism , 1978 .

[8]  M. O. M. Osman,et al.  On the Effect of Bearing Clearances in the Dynamic Analysis of Planar Mechanisms , 1979 .

[9]  M. T. Bengisu,et al.  A Theoretical and Experimental Investigation of Contact Loss in the Clearances of a Four-Bar Mechanism , 1986 .

[10]  Theiler,et al.  Efficient algorithm for estimating the correlation dimension from a set of discrete points. , 1987, Physical review. A, General physics.

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

[12]  Brian S. Thompson,et al.  A Theoretical and Experimental Investigation of the Dynamic Response of a Slider-Crank Mechanism With Radial Clearance in the Gudgeon-Pin Joint , 1990 .

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

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

[15]  A. Akay,et al.  Dynamic response of a revolute joint with clearance , 1996 .

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

[17]  Olivier A. Bauchau,et al.  Modeling of joints with clearance in flexible multibody systems , 2001 .

[18]  J. Chunmei,et al.  THE NON-LINEAR DYNAMIC BEHAVIOR OF AN ELASTIC LINKAGE MECHANISM WITH CLEARANCES , 2002 .

[19]  Linhong Ji,et al.  Investigation on the Dynamic Performance of the Tripod-Ball Sliding Joint with Clearance in a CRANK-SLIDER Mechanism. Part 1. Theoretical and Experimental Results , 2002 .

[20]  Jorge Ambrósio,et al.  Revolute joints with clearance in multibody systems , 2004 .

[21]  J. Ambrósio,et al.  Dynamic Analysis for Planar Multibody Mechanical Systems with Lubricated Joints , 2004 .

[22]  Shaoze Yan,et al.  Elasto-Plastic Analysis of Clearance Connections Subjected to Impact Loads , 2004 .

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

[24]  J. Zuo,et al.  A novel fractal characteristic method on the surface morphology of polythiophene films with self-organized nanostructure , 2005 .

[25]  Sz Yan,et al.  Dynamic analysis of deployable structures with clearance connections , 2005 .

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

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

[28]  Shaoze Yan,et al.  A revised Hilbert–Huang transformation based on the neural networks and its application in vibration signal analysis of a deployable structure , 2008 .

[29]  Nasser Mozayani,et al.  A new criterion to distinguish stochastic and deterministic time series with the Poincaré section and fractal dimension. , 2009, Chaos.

[30]  Paulo Flores,et al.  Modeling and simulation of wear in revolute clearance joints in multibody systems , 2009 .

[31]  Paulo Flores,et al.  A parametric study on the dynamic response of planar multibody systems with multiple clearance joints , 2010 .

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

[33]  X Lai,et al.  Probabilistic approach to mechanism reliability with multi-influencing factors , 2011 .

[34]  Radu Marculescu,et al.  A fractional calculus approach to modeling fractal dynamic games , 2011, IEEE Conference on Decision and Control and European Control Conference.

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

[36]  Shaoze Yan,et al.  Kinematic accuracy analysis of flexible mechanisms with uncertain link lengths and joint clearances , 2011 .

[37]  Paul Bogdan,et al.  A cyber-physical system approach to artificial pancreas design , 2013, 2013 International Conference on Hardware/Software Codesign and System Synthesis (CODES+ISSS).

[38]  Shaoze Yan,et al.  Effects of damping, friction, gravity, and flexibility on the dynamic performance of a deployable mechanism with clearance , 2013 .