Bond graph modeling of planar prismatic joints

Abstract Neglecting dynamic load during design of a prismatic joint for high-speed operation may lead to unpredictable failures. A slider joint is usually a part of a pneumatic or hydraulic actuation device which may further involve complicated control systems. Thus, design/analysis of prismatic joints calls for a multi-energy domain modeling approach such as bond graph for reusability of the model in different application scenarios. The slider is treated to be a multibody system composed of two separate rigid bodies which are constrained to produce the desired motion. The constraints generate the dynamic contact forces which are used to compute the dynamic frictional forces. The bond graph model of the planar slider component developed in this article accurately calculates the dynamic loads. The model is first validated through numerical simulations performed on a Rapson slide. Thereafter, a multi-energy model for a V-twin engine and its mounting is developed to show how bond graph modeling makes it possible to create an integrated model of thermal, pneumatic and mechanical systems. Finally, the bond graph model of a three-dimensional prismatic joint is developed.

[1]  J. Yuh,et al.  Modeling of a flexible link having a prismatic joint in robot mechanism-experimental verification , 1989, Proceedings, 1989 International Conference on Robotics and Automation.

[2]  Niccolò Baldanzini,et al.  Designing the Dynamic Behavior of an Engine Suspension System Through Genetic Algorithms , 2001 .

[3]  Periasamy Vijay,et al.  Bond graph model of a solid oxide fuel cell with a C-field for mixture of two gas species , 2008 .

[4]  Dan B. Marghitu,et al.  Effect of prismatic joint inertia on dynamics of kinematic chains , 2004 .

[5]  Arun K. Samantaray,et al.  Robust overwhelming control of a hydraulically driven three-degrees-of-freedom parallel manipulator through a simplified fast inverse model , 2010 .

[6]  Serge Scavarda,et al.  Mechatronic bond graph modelling of an automotive vehicle , 2006 .

[7]  Marcel Staroswiecki,et al.  Supervision of an industrial steam generator. Part I: Bond graph modelling , 2006 .

[8]  J. Asgari,et al.  Automotive mechatronic systems , 2000 .

[9]  Ali Emadi,et al.  Modeling and Simulation of Electric and Hybrid Vehicles , 2007, Proceedings of the IEEE.

[10]  R. Rosenberg,et al.  System Dynamics: Modeling and Simulation of Mechatronic Systems , 2006 .

[11]  Whang Cho.  A bond graph approach to the modeling of general multibody dynamic systems , 1998 .

[12]  Belkacem Ould Bouamama,et al.  Model-based Process Supervision: A Bond Graph Approach , 2008 .

[13]  Kamal Medjaher,et al.  Bond graph model of a vertical U-tube steam condenser coupled with a heat exchanger , 2009, Simul. Model. Pract. Theory.

[14]  H. B. Pacejka,et al.  Development and validation of a bond graph handling model of an automobile , 1991 .

[15]  D. Karnopp,et al.  Application of Bond Graph Techniques to the Study of Vehicle Drive Line Dynamics , 1970 .

[16]  Forbes T. Brown,et al.  Engineering system dynamics : a unified graph-centered approach , 2006 .

[17]  M. A. Faruqi,et al.  Computation of Driving Efforts for Mechanisms and Robots Using Bond Graphs , 1991 .

[18]  Dean Karnopp,et al.  State variables and pseudo bond graphs for compressible thermofluid systems , 1979 .

[19]  Hosam K. Fathy,et al.  Structural simplification of modular bond-graph models based on junction inactivity , 2009, Simul. Model. Pract. Theory.

[20]  Peter J. Gawthrop,et al.  Bond graph-based simulation of non-linear inverse systems using physical performance specifications , 1999 .

[21]  Gregory M. Hulbert,et al.  Generating proper dynamic models for truck mobility and handling , 2004 .

[22]  Dean Karnopp,et al.  Pseudo Bond Graphs for Thermal Energy Transport , 1978 .

[23]  Periasamy Vijay,et al.  A bond graph model-based evaluation of a control scheme to improve the dynamic performance of a solid oxide fuel cell , 2009 .

[24]  P. Gawthrop.  Physical model-based control: A bond graph approach , 1995 .

[25]  Eric Bideaux,et al.  A planar mechanical library in the AMESim simulation software. Part II: Library composition and illustrative example , 2006, Simul. Model. Pract. Theory.

[26]  Peter J. Gawthrop,et al.  Bond graphs: A representation for mechatronic systems , 1991 .

[27]  Jose J. Granda.  The role of bond graph modeling and simulation in mechatronics systems: An integrated software tool: CAMP-G, MATLAB–SIMULINK , 2002 .

[28]  Arun K. Samantaray,et al.  Modeling and analysis of preloaded liquid spring/damper shock absorbers , 2009, Simul. Model. Pract. Theory.

[29]  P. V. Remoortere.  Physical systems theory in terms of bond graphs : P.C. Breedveld: Vakgroep Besturingsystemen en Computertechniek, THT, Afdeling Electrotechniek, Postbus 217, 7500 AE Enschede, The Netherlands. 1984, 200 pages, ISBN 90-9000599-4 , 1984 .

[30]  Cornelius T. Leondes,et al.  Mechatronic Systems Techniques and Applications , 2000 .

[31]  Ahmed Rahmani,et al.  Bond graph aided design of controlled systems , 1999, Simul. Pract. Theory.

[32]  P. Gawthrop,et al.  Bond-graph modeling , 2007, IEEE Control Systems.

[33]  Donald Margolis.  Modeling of Two-Stroke Internal Combustion Engine Dynamics Using the Bond Graph Technique , 1975 .

[34]  K. Youcef-Toumi,et al.  Modeling and simulation of a hybrid-electric vehicle drivetrain , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[35]  Pushparaj Mani Pathak,et al.  A scheme for robust trajectory control of space robots , 2008, Simul. Model. Pract. Theory.