Development and validation of a rigid–flexible coupled dynamic valve-train model

A rigid–flexible coupled dynamics model has been developed to analyse the dynamic behaviour of a pushrod valve-train system of an internal combustion engine. The elastic vibration mechanism of each flexible component is described in a floating reference frame. The mechanical impacts in a valve-train system at the opening and closing events of the valve are affected by the contact stiffness and damping of contact components. The contact force model for the cam–tappet interface was developed based on the elasto-hydrodynamic lubrication theory of finite line conjunction. The finite-difference method is used to solve the rigid–flexible coupled dynamic equations. The algorithm of finite difference and the boundary conditions have been carefully selected to solve the fourth-order Bernoulli–Euler beam equation. Experiments were conducted on a motor-driven valve-train system from a four-cylinder diesel engine. The measured valve displacement, acceleration, and contact forces showed excellent consistency with the predicted results. The rigid–flexible coupled dynamics model has shown improved accuracy compared to the lumped rigid mass system in analysing the dynamic performance of the valve-train system.

[1]  Ahmadul Ameen,et al.  A comparison of combustion characteristics of waste cooking oil with diesel as fuel in a direct injection diesel engine , 2002 .

[2]  Homer Rahnejat,et al.  Transient elastohydrodynamic lubrication of finite line conjunction of cam to follower concentrated contact , 2002 .

[3]  Kemal Özgür,et al.  Separation phenomena in force closed cam mechanisms , 1996 .

[4]  Akemi Ito,et al.  A Valve Train Friction and Lubrication Analysis Model and Its Application in a Cam/Tappet Wear Study , 1996 .

[5]  Walter Bryzik,et al.  Simplified Elasto-Hydrodynamic Friction Model of the Cam-Tappet Contact , 2003 .

[6]  Giorgio Dalpiaz,et al.  A non-linear elastodynamic model of a desmodromic valve train , 2000 .

[7]  Zoran Bonić,et al.  Finite difference method application in design of foundation girder of variable cross-section loaded on ends , 2008 .

[8]  Kisu Lee.  Dynamic contact analysis for the valvetrain dynamics of an internal combustion engine by finite element techniques , 2004 .

[9]  Siti Zaiton Mohd Hashim,et al.  Genetic Modelling and Simulation of Flexible Structures , 2004 .

[10]  Harold E. McCormick,et al.  Dynamic Model and Computer Simulation of Valve Train Assemblies with Hydraulic Lash Adjuster , 1996 .

[11]  Luca Carmignani,et al.  Development of a Lumped-Parameter Model for the Dynamic Analysis of Valve Train Systems , 2004 .

[12]  Ferdinand Freudenstein,et al.  The Development of a Predictive Model for the Optimization of High-Speed Cam-Follower Systems with Coulomb Damping Internal Friction and Elastic and Fluidic Elements , 1986 .

[13]  Zhu Zhi-yuan.  Dynamic Stiffening of Rigid-flexible Coupling System , 2006 .

[14]  Jaan Kiusalaas,et al.  Numerical Methods in Engineering with MATLAB®: Index , 2005 .

[15]  S McLaughlin,et al.  Development of a multi-body simulation model of a Winston Cup valvetrain to study valve bounce , 2002 .

[16]  Homer Rahnejat,et al.  Multiphysics analysis for the determination of valvetrain characteristics , 2005 .

[17]  N. Henein,et al.  Experimental Analysis of Dynamics and Friction in Valve Train Systems , 2002 .

[18]  Riaz A. Mufti,et al.  Experimental and Theoretical Study of Instantaneous Engine Valve Train Friction , 2003 .

[19]  A. Rivolaa,et al.  Elastodynamic analysis of the desmodromic valve train of a racing motorbike engine by means of a combined lumped / finite element model , 2006 .

[20]  Masahiko Sugimoto,et al.  70 Prediction of the Dynamic Characteristics in Valve Train Design of a Diesel Engine , 2002 .

[21]  J. Greenwood,et al.  The Contact of Two Nominally Flat Rough Surfaces , 1970 .

[22]  Juan Fernando Peza-Solís,et al.  Modeling and Tip Position Control of a Flexible Link Robot: Experimental Results , 2009, Computación y Sistemas.

[23]  章定国,et al.  A DYNAMIC MODEL FOR ROCKET LAUNCHER WITH COUPLED RIGID AND FLEXIBLE MOTION , 2005 .

[24]  Ferdinand Freudenstein,et al.  An Experimental and Analytical Investigation of the Dynamic Response of a High-Speed Cam-Follower System. Part 2: A Combined, Lumped/Distributed Parameter Dynamic Model , 1983 .

[25]  Wensyang Hsu,et al.  Modeling of a Finger-Follower Cam System With Verification in Contact Forces , 1996 .

[26]  Dojoong Kim,et al.  A Combined Model for High Speed Valve Train Dynamics (Partly Linear and Partly Nonlinear) , 1990 .

[27]  Homer Rahnejat,et al.  Elastodynamic transient analysis of a four-cylinder valvetrain system with camshaft flexibility , 2005 .

[28]  Jorge Martins,et al.  Valve Motion Modelation for Use in Airflow Engine Simulation , 2001 .

[29]  R. S. Paranjpe.  Dynamic Analysis of a Valve Spring With a Coulomb-Friction Damper , 1990 .

[30]  F C Mund,et al.  Online compressor washing: A numerical survey of influencing parameters , 2005 .

[31]  In-Soo Suh,et al.  An Investigation of Valve Train Noise for the Sound Quality of I. C. Engines , 1999 .

[32]  Rong-ye Zhang.  Lagrangian mechanics on Kahler manifolds , 2005 .

[33]  Ends Using Mathematica,et al.  Finite Difference Method for Beam Equation with Free , 2009 .

[34]  M. O. Tokhi,et al.  SCEFMAS: An Environment for Dynamic Characterisation and Control of Flexible Robot Manipulators* , 1999 .

[35]  Jongmin Lee.  Dynamic modeling and experimental verification of a valve train including lubrication and friction. , 1993 .

[36]  S. Yurkovich,et al.  A method for solution of the Euler-Bernoulli beam equation in flexible-link robotic systems , 1989, IEEE 1989 International Conference on Systems Engineering.

[37]  Homer Rahnejat,et al.  Multi-physics analysis of valve train systems: From system level to microscale interactions , 2007 .

[38]  M. P. Koster,et al.  Effect of Flexibility of Driving Shaft on the Dynamic Behavior of a Cam Mechanism , 1975 .

[39]  M. O. Tokhi,et al.  Finite element approach to dynamic modelling of a flexible robot manipulator: Performance evaluation and computational requirements , 1999 .

[40]  Homer Rahnejat,et al.  Valve-train dynamics: A simplified tribo-elasto-multi-body analysis , 2000 .

[41]  Siyoul Jang,et al.  Dynamic EHL Film Thickness in Cam and Follower Contacts of Various Valve Lifts , 2000 .

[42]  Ching-Yao Chan,et al.  Dynamic Model of a Fluctuating Rocker-Arm Ratio Cam System , 1987 .