3 | Mechanical Modeling

By the end of this section, you should be able to

  1. Create FBDs for simple spring-mass-damper (SMD) systems

  2. Create equations of motion (EOM) for single-element mechanical system

  3. Find closed-form solutions for the displacement of mass in SMD system

Force in spring:

Force in damper:

The force in a damper is linearly proportional to the (relative) velocity for laminar flow due to Stoke’s Law.

The force in a damper is quadratically proportional to the (relative) velocity for turbulent flow.

Code