Co-simulation environment for vehicle-powertrain-tire on/off-road analysis Dan Negrut Simulation-Based Engineering Lab University of Wisconsin, Madison Acknowledgements • Joint work with: – Makarand Datar, University of Wisconsin, Madison – Andrew Dyer, MSC.Software – Ilinca Stanciulescu, University of Illinois, Urbana-Champaign • Financial support – US Army through Resilient Technologies – BAE Systems • Technical support – Anthony Sajdak (MSC Software) – Sylvain Pagerit (Argonne National Lab) – Brian Anderson, Resilient Technologies, WI Overview • Simulation Based Engineering Lab • Building vehicle models in ADAMS/Car – Templates Subsystems Assembly – HMMWV – Powertrain system in ADAMS/Car • PSAT – Powertrain Systems Analysis Toolkit • Co-simulation – Vehicle – Powertrain – Vehicle – Tire • Future work [1] Modeling [2] Numerical Solution [3] Validation and UQ • Modeling – Start with a physical problem that needs to be investigated, and produce an abstraction (a model) whose response, behavior, performance, resembles that of the physical system [1] Modeling [2] Numerical Solution [3] Validation and UQ • Equation formulation and solution – Once a model is available, formulate the equations associated with the time evolution of the model and solve them – Focus: • Simulation of frictional contact • Co-simulation approaches to enable cross discipline simulation • Parallel methods for multibody dynamics simulation [1] Modeling [2] Numerical Solution [3] Validation and UQ • Model Validation and Uncertainty Quantification [UQ] – Important question in virtual prototyping: • How do you know whether the model adequately captures reality? – UQ - statistical approach needed to assess model performance – Data assimilation (compare experimental and simulation results) – System identification - calibrate certain parameters (damping coefficients, bushing stiffness coefficient, etc.) – Surrogate modeling End Introduction On to High Fidelity Vehicle Modeling HMMWV Model • High Mobility Multipurpose Wheeled Vehicle (HMMWV) – Modeled in ADAMS/Car – Four Wheeled Drive – CAD geometry applied to Chassis and Wheels • Focus on – Vehicle topology – Vehicle Powertrain – Tire Models Powertrain Systems in ADAMS/Car • Simplified Topology of the Elements in Powertrain System Engine Differential Clutch Transmission Tire Powertrain Systems in ADAMS/Car • The dynamics are modeled using differential and algebraic equations • Limitations – – – – Only conventional powertrain systems The fuel economy can not be predicted Not very sophisticated Not validated extensively PSAT • Powertrain System Analysis Toolkit • Sophisticated powertrain models • • • • Conventional Electric Fuel cell Several varieties of hybrid powertrain – Parallel, series, power split, series-parallel – For light and heavy duty vehicles • Validated within 1%-5% for both fuel economy and battery state-of-charge on several driving cycles – Conventional and mild hybrid within 2% (Honda Insight, Ford P2000) – Full hybrid vehicles within 5% (Toyota Prius) • Modeled using MATLAB, Simulink and Stateflow PSAT – Integrated Development Environment Build and compare large number of powertrain configurations Easy selection of data, models, control strategies or drive cycles Analyze and compare test and simulation data Ensure simulation traceability Easy implementation of data, models, control strategies or drive cycles Run batch mode Ensure model compatibility Use models and controls for HIL/RCP Forward Modeling Accelerator/Brake pedal Controller Commands Motor command Engine command Clutch command Shift command Brake command Co-simulation ADAMS-PSAT • ADAMS vehicle model handles chassis, suspension, steering, road definition • PSAT handles powertrain system • MATLAB/Simulink used as common co-simulation platform Co-simulation ADAMS-PSAT • Simulink S-Function to co-simulate with ADAMS/Car vehicle generated using ADAMS/Controls • Simulink model of vehicle in PSAT • The vehicle + wheels + road blocks in PSAT model replaced by ADAMS/Car model • Co-simulation based on data exchange Driveline speed, longitudinal velocity ADAMS PSAT Driveline torque, brake demand Co-simulation ADAMS-PSAT-FTire PSAT vehicle block is removed ADAMS vehicle block is inserted in Simulink to work with PSAT FTire used in ADAMS vehicle ADAMS-PSAT Interface Double click A Word on Tire Models • Tire models supported – Fiala – Pacejka – FTire • Other tire models not used yet in ADAMS-PSAT context: – Flex tire model – Nonlinear tire model Flexible Tire • Component Mode Synthesis (CMS) approach: – Relies on modal analysis of tire in ABAQUS – Tire element is subsequently imported in ADAMS as a flexible body • Limitation: small defs. only • Advantage: fast simulation Flexible Tire (Cntd.) • The MNF file used has 125 mode shapes and 6 rigid body modes • Flexible tire model relevant in durability and fatigue analysis studies • Craig-Bampton method: superposition of – Constraint modes – Fixed-boundary normal modes Nonlinear Tire model (FEAP) • Collaboration with professor from UIUC • Formulation uses 3D, 8 node finite elements (bricks) • Contact with sliding – Coulomb friction law • Sources of nonlinearity – Large deformations (geometric nonlinearities) – Rubber Material (composite): constitutive law used is Mooney-Rivlin • Incompressibility handled through Q1P0 approach – Pressure loading (based on Simo et al, 1991) – Exact integration – Consistent Newton-Raphson linearization Future Work • Automate the ADAMS-PSAT co-simulation interfacing – There is still busy legwork that needs to be done for enabling co-simulation • Simulation of off-road vehicles with deformable terrain – Developing co-simulation capability for simulating non-linear finite element models of tire with ADAMS/Car • Other research projects in our lab – – – – Dynamics of granular flow Fast methods for frictional contact in mechanical system simulation Real-time simulation Surrogate modeling and model validation (Uncertainty Quantification) ADAMS at University of Wisconsin • Simulation-Based Engineering Lab – Car modeling – Track modeling – Co-simulation mode (ongoing projects for interfacing with DEM and nonlinear FE codes) • Kinematics and Dynamics Class – Senior level undergrads and first year grad students • Future Truck team • SAE Formula Team – 2007 National Champions Technical Report Available • July 2007 – http://sbel.wisc.edu/documents/Tr-2007-03.pdf Dr. Dan Negrut Email: [email protected] Tel. +001 608 890 0914
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