Modeling

A simplified version of something complex used in solving problems. These build an abstraction of reality.

High level overview

Definitions

• Dynamic Systems

Subconcepts

• Linear Time Invariant
• LaPlace Transforms
• Block Diagrams

Modelling Mechanical Systems

Modeling of mechanical systems are fundamentally just making use of the fundemental law of physics $\Sigma F=ma$ (Newtons 2nd Law)

You may need a variable for a massless node if a distance is taken from that point.

Note

When making equations of dynamic systems (equations of motion), we leave everything in derivatives when simplifying (get rid of integration)

Mechanical Systems

General Procedure

• Draw FBDs
• Apply Newtons 2nd Law
• Simplify as needed
• Typical elements include Spring Elements and Damped Elements

Electrical Systems

General Procedure

• Identify nodes and voltages using nodal analysis
• Apply KVL and KCL and simplify as needed
• Typical electrical elements include these Impedance elements from Circuits Review

Electromechanical Systems

• Uses Electromechanical Systems

Thermal Systems

• Uses Thermal Circuits and Conduction

Fluid Systems

• Uses Fluid Systems

This seems to follow “making equations of motion” from SYDE351

There is also the concept of Equivalent Mass and Inertia (i.e equivalent inertia seen by a motor through the gears)