ME457: Mechatronic System Modeling and Simulation

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ME457 Mechatronic System Modeling and Simulation
Prof. R. C. Rosenberg
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Math-based Engineering

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

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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?

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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

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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

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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.

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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)

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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

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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

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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

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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