# Vibrations

**Taught by: Dr. Gloria Wiens**

**TA'd: SS 2016**

**Text: **

*by: *

## Table of Contents

in control vibrations are passive control

Asymptotically stable - system will return to equilibrium as time

Decaying motion is asymptotically stable

- exponential decay = viscous model
- linear decay = coloumb model

**Modeling**

- Components (elements in the system)
- Translational System:
- Rotational System:

- Modeling Equations
- Translational System:
- Rotational System:

- Assumptions:
- Small displacements about the equilibrium position
- Equilibrium position - position when the system goes to rest

- Small displacements about the equilibrium position