ME457: Mechatronic System Modeling and Simulation Prof. R. C. Rosenberg Your objective: domination! My objective: to help you to dominate!

Math-based Engineering Math-based engineering (MBE) is becoming increasingly important in industry. What are the drivers for this trend?

Some key questions Why is math-based modeling important to industry? What does “math-based modeling” mean? What does “simulation” mean? What are “mechatronic systems”?

Why is math-based modeling important to industry? Increased complexity of components and systems Need for higher reliability means need for more testing Need for faster design of new products Better integration can be achieved between design and manufacturing planning

What does “math-based modeling” mean? Precise description of components and their interconnections (preferably in a form that is computable) Schematics and idealized elements Mathematical graphs Equations Tables of performance data Computer programs

What does “simulation” mean in a mbe environment? Exercising a math model by computing its behavior (not necessarily its formal solution) Software is involved (e.g., MATLAB). Models are constrained by software characteristics. Software predictions are constrained by implementation of algorithms and by their application. Validation is still required at some level.

What are “mechatronic systems”? Mechatronics: combination of mechanical and electronic subsystems (Japan, late 1960s) Has evolved to mean inclusion of intelligence to get “smart” products Major components to be integrated: Mechanical stuff (solids and fluids) Electrical/electronic stuff (circuits, sensors and actuators) Control stuff (feedback action) Computer stuff (intelligent decision-making)

What are “mechatronic systems”? (cont.) Systems involve structural ideas: Inputs and outputs Connections among model components Hierarchical arrangement (subassemblies) Various internal models possible as long as I/O description is maintained

Mechatronics modeling Energy is a guiding principle for getting physics into mathematical form. Energy has various forms Time-rate of energy transfer is power Signals denote transfer at very low energy levels (called information transfer) Individual components have ports for interacting (power and/or signal types) Components are connected between pairs of ports by power bonds or signals Transducer devices convert between energy forms

Mechatronics modeling (cont.) Some energy types commonly used in engineering: Mechanical energy in translation and rotation Electrical and magnetic energy in circuits Fluid power in hydraulics and acoustics Thermal energy and heat transfer Chemical energy in reactions

Mechatronics modeling (cont.) Some transducers commonly used in engineering: Mechanical energy translation/rotation: rack and pinion Electrical/mechanical rotation: dc motor Fluid power/mechanical translation: hydraulic ram Electrical/thermal energy: resistance heater Chemical energy/thermal: a match