This content is not included in your SAE MOBILUS subscription, or you are not logged in.
An Abstract Multi-Rate Method for Vehicle Dynamics Simulation
ISSN: 0148-7191, e-ISSN: 2688-3627
Published April 08, 2013 by SAE International in United States
Annotation ability available
The design of vehicles increasingly challenges existing cost, weight, durability, and handling regimes. This challenge is further compounded by pressure to decrease or limit the duration of the design cycle. The simulation of vehicle dynamic behavior commonly applies just rigid, or better rigid and linear flexibility models to predict motions and determine load cases. However, as the boundaries of materials are pushed these are becoming insufficient to accurately predict behavior. Alternatively, complete nonlinear finite element representations of vehicle dynamics are always possible but are presently infeasible for the support of a single design under virtual test, not to mention several design iterations. To address these issues, a novel abstract multi-rate simulation method is outlined which is designed to exploit the richness of available model in the vehicle dynamics domain. The method relies on the availability of a virtual continuum of modeling fidelities and uses the fast executing low fidelity models to seed increasingly high fidelity models which execute concurrently in different regions of the time domain. As a result, discontinuities will appear in the states time-histories, and the method must then validate (or invalidate) the discontinuities as being possible states given the chaotic nature of the higher frequency components in the system.
CitationCritchley, J. and Jayakumar, P., "An Abstract Multi-Rate Method for Vehicle Dynamics Simulation," SAE Technical Paper 2013-01-1196, 2013, https://doi.org/10.4271/2013-01-1196.
- Shabana, A., Bauchau, O. and Hulbert, G, “Integration of Large Deformation Finite Element and Multibody System Algorithms,” Journal of Computational and Nonlinear Dynamics, 2007, doi: 10.1115/1.2756075.
- Hallquist, John O. “Ls-dyna theoretical manual.” California, Livermore Software Technology Corporation (1998).
- Featherstone, Roy. “A divide-and-conquer articulated- body algorithm for parallel O (log (n)) calculation of rigid-body dynamics. Part 1: Basic algorithm.” The International Journal of Robotics Research 18, no. 9 (1999): 867-875.
- Critchley, J. H., and Anderson K. S.. “A parallel logarithmic order algorithm for general multibody system dynamics.” Multibody System Dynamics 12, no. 1 (2004): 75-93.
- Arnold, M. “Multi-rate time integration for large scale multibody system models.” In IUTAM Symposium on Multiscale Problems in Multibody System Contacts, pp. 1-10. Springer Netherlands, 2007, doi:10.1007/978-1-4020-5981-0_1.
- Anderson, Kurt S., and Oghbaei Mojtaba. “Dynamic Simulation of Multibody Systems Using a New State-Time Methodology.” Multibody System Dynamics 14, no. 1 (2005): 61-80.
- Chen, Jingjia, and Crow Mariesa L.. “A variable partitioning strategy for the multirate method in power systems.” Power Systems, IEEE Transactions on 23, no. 2 (2008): 259-266, doi: 10.1109/TPWRS.2008.919319.
- Demmel, James W. Applied numerical linear algebra. Society for Industrial Mathematics, 1997.
- Krumpholz, Michael, and Katehi, L. “MRTD: New time- domain schemes based on multiresolution analysis.” Microwave Theory and Techniques, IEEE Transactions on 44, no. 4 (1996): 555-571.
- Douglas, Craig C. “Parallel multilevel and multigrid methods.” SIAM News 25, no. 3 (1992): 14-15. doi: 10.1.1.75.3815.
- Douglas, Craig C. “Implementing abstract multigrid or multilevel methods.” In NASA CONFERENCE PUBLICATION, pp. 127-127. NASA, 1993.
- Creighton, D.C., “Revised Vehicle Dynamics Module: User's Guide for Computer Program VEHCYN-II”, U.S. Army Corps of Engineers, Waterways Experiment Station, Vicksburg, MS, Tech. Report No. SL-86-9, 1986.
- Oral, H., Wen, Y., and Kemp K., “Measuring Active Chassis System Performance in an HIL Environment,” SAE Technical Paper 2004-01-2063, 2004, doi:10.4271/2004-01-2063.
- Romano, R., “Real-Time Multi-Body Vehicle Dynamics Using a Modular Modeling Methodology,” SAE Technical Paper 2003-01-1286, 2003, doi:10.4271/2003-01-1286.
- McCullough, M. K., and Haug E. J.. “Dynamics of high mobility track vehicles.” ASME, 1986.
- Orlandea, N. and Chace, M., “Simulation of a Vehicle Suspension with the ADAMS Computer Program,” SAE Technical Paper 770053, 1977, doi: 10.4271/770053.
- Panthaki, Malcolm. “Concurrent engineering to the rescue: Do we have the software tools to support it?” In Optical Engineering+ Applications, pp. 70710G-70710G. International Society for Optics and Photonics, 2008.
- Best, Matt C., Gordon T. J., and Dixon P. J.. “An extended adaptive Kalman filter for real-time state estimation of vehicle handling dynamics.” Vehicle System Dynamics 34, no. 1 (2000): 57-75.
- Friswell, Michael I., Mottershead John E., Ahmadian Hamid, Friswell Michael I., Mottershead John E., and Ahmadian Hamid. “Finite-element model updating using experimental test data: parametrization and regularization.” Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 359, no. 1778 (2001): 169-186.
- Hua, Shungang, Zhu Zhihao, and Zhang Lina. “Vehicle body structural parameter optimization based on dynamics simulation.” In Advanced Technology of Design and Manufacture (ATDM 2010), International Conference on, pp. 51-55. IET, 2010.
- Nayfeh, A. H., Mook D. T., and Marshall L. R.. “Nonlinear coupling of pitch and roll modes in ship motions.” Journal of Hydronautics 7, no. 4 (1973). doi: 10.2514/3.62949.
- Wan, Eric A., and Merwe Rudolph Van Der. “The unscented Kalman filter for nonlinear estimation.” In Adaptive Systems for Signal Processing, Communications, and Control Symposium 2000. AS- SPCC. The IEEE 2000, pp. 153-158. IEEE, 2000.
- Van Der Merwe, Rudolph, Doucet Arnaud, Freitas Nando De, and Wan Eric. “The unscented particle filter.” Advances in Neural Information Processing Systems (2001): 584-590.
- Purushothaman, Nammalwar, Jayakumar Paramsothy, Critchley James, Datta Sandip, and Pisipati Venkat. “A robust durability process for military ground vehicles.” Proceedings of the 2009 Ground Vehicle Systems Engineering and Technology Symposium (GVSETS), 2008.
- Sandu, Adrian, Sandu Corina, and Ahmadian Mehdi. “Modeling multibody systems with uncertainties. Part I: Theoretical and computational aspects.” Multibody System Dynamics 15, no. 4 (2006): 369-391.
- Sandu, Corina, Sandu Adrian, and Ahmadian Mehdi. “Modeling multibody systems with uncertainties. Part II: Numerical applications.” Multibody System Dynamics 15, no. 3 (2006): 241-262.