Modeling

High level overview

Definitions

• Dynamic Systems

Subconcepts

• LTI Systems and Modeling
• 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.

Mechanical Systems

General Procedure

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

This seems to follow “making equations of motion” from SYDE 351 - Systems Models 1

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