Michael R Hansen Mat RIC meeting Grimstad 275
- Slides: 10
Michael R. Hansen, Mat. RIC meeting, Grimstad 27/5 -14 Agenda: - Background - Modeling and simulation at Ui. A engng. - Mathematical challenges - Conclusions Mechatronic group at Ui. A 15 full time employed in teaching and labs. Mechatronic profile at Ui. A characterized by: • High power / Power Mechatronics • Dynamic systems • Off Shore applications Mechatronic profile at Ui. A, programmes: • 3 years B. Sc. , since 1988 • 2 years M. Sc. , since 2008 • 3 years Ph. D. , since 2010
Michael R. Hansen, Mat. RIC meeting, Grimstad 27/5 -14 Modeling and Simulation at the Engineering MSc educations at Ui. A Mechatronics and Renewable Energy Dedicated course (10 SP) Used in subsequent courses on mechanics, hydraulics, electrical drives, control, instrumentation, industrial information technology, product development. Used in multidisciplinar project works (across individual courses) Used extensively in graduate projects
Michael R. Hansen, Mat. RIC meeting, Grimstad 27/5 -14 Simulation Mainly time domain simulation and numerical methods Why time domain simulation ? - Investigate dynamic characteristics - Avoid or minimize physical testing - Gain insight into non-linear behavior - Gain insight into parameters that are difficult to measure physically - Extensively used in industry to predict and verify design
Michael R. Hansen, Mat. RIC meeting, Grimstad 27/5 -14 Simulation Mainly time domain simulation and numerical methods Why time domain simulation ? - Investigate dynamic characteristics - Avoid or minimize physical testing Simulation - Gain insight into non-linear behavior - Gain insight into parameters that are difficult to measure physically - Extensively used in industry to predict and verify design
Michael R. Hansen, Mat. RIC meeting, Grimstad 27/5 -14 Simulation Mainly time domain simulation and numerical methods Why numerical methods ? - Practical problems typically outside the scope of analytical solutions - Allows for the handling of large scale problems - Allows for design optimization
Michael R. Hansen, Mat. RIC meeting, Grimstad 27/5 -14 MATHEMATICAL CHALLENGES: - WHITE BOX MODELING, DIFFERENTIAL EQUATION OF MOTION - GRAY BOX MODELING, IMPACT WITH WALL - NUMERICAL SOLUTION, TIME INTEGRATION Simple system with no analytical solution
Michael R. Hansen, Mat. RIC meeting, Grimstad 27/5 -14 FURTHER MATHEMATICAL CHALLENGES: - TRIGONOMETRY. - BLACK BOX MODELING, TIRE MODEL, BUMP IN ROAD. Simple system with no analytical solution
Michael R. Hansen, Mat. RIC meeting, Grimstad 27/5 -14 MATHEMATICAL CHALLENGE: FORMULATE DESIGN PROBLEM (INVERSE ANALYSIS)
Michael R. Hansen, Mat. RIC meeting, Grimstad 27/5 -14 IN CONCLUSION MAIN MATHEMATICAL CHALLENGES: - WHITE BOX MODELING, PURELY PHYSICAL (Newtons 2 nd law, Ohms law). - GRAY BOX MODELING, PARTLY PHYSICAL - PARTLY EMPIRICAL (Parameter identification, friction, impact, damping). - BLACK BOX MODELING, PURELY EMPIRICAL RELATIONSHIPS (Forcing mathematical expressions on observations, measurements, or assumed dependencies). - SETTING UP NUMERICAL SOLUTIONS (Time integration, nonlinear equations, optimization). - TRIGONOMETRY.
