# Fiches de cours 2017-2018

## Modeling and simulation of microsystems

Quack Niels
Shea Herbert

English

#### Summary

Students will learn how to analyze a problem, identify the relevant parameters, build a simple model and/or a more complex discretized problem, solve it using computing power and extract the relevant parameters from the simulation.

#### Content

Part 1. 1 degree of freedom system

• Static deformation of a spring-mass
• Dynamic deformation
• Dynamic deformation with a non sinusoidal drive
• Dynamic deformation with a non-linear stiffness

Part 2. Lump model & Equivalent circuit

• Mechanical resonator
• Electro-mechanical resonator
• Thermal conductance

Part 3. Finite Element Modelling

• Static mechanical deformation
• Surface stress effects on micro-structures
• Thermal simulation
• Electrothermal simulation
• Electro-thermo-mechanical simulation

#### Keywords

Simulation, Modelling, Finite element, Runge-Kutta, Mesh, Convergence, Multi-physics

#### Learning Prerequisites

##### Required courses

Basic electronics and physics

#### Learning Outcomes

By the end of the course, the student must be able to:
• Choose the appropriate approach to modelling a simple device
• Identify relevant parameters in a system
• Design the model describing the system
• Interpret predictions and results from the model
• Choose the appropriate boundary conditions
• Choose the appropriate mesh size with respects to the physics of the problem

#### Teaching methods

Ex-Cathedra

Exercises on a computer using Matlab, QUCS and a FEM software

Project work in small groups

Oral exam - 50%

Project - 50%

#### Supervision

 Office hours Yes Assistants No Forum No Others

### Dans les plans d'études

• Semestre
Automne
• Forme de l'examen
Oral
• Crédits
3
• Matière examinée
Modeling and simulation of microsystems
• Cours
1 Heure(s) hebdo x 14 semaines
• Cours
1 Heure(s) hebdo x 14 semaines
• Exercices
2 Heure(s) hebdo x 14 semaines
• Exercices
2 Heure(s) hebdo x 14 semaines
• Semestre
Automne
• Forme de l'examen
Oral
• Crédits
3
• Matière examinée
Modeling and simulation of microsystems
• Cours
1 Heure(s) hebdo x 14 semaines
• Cours
1 Heure(s) hebdo x 14 semaines
• Exercices
2 Heure(s) hebdo x 14 semaines
• Exercices
2 Heure(s) hebdo x 14 semaines

### Semaine de référence

LuMaMeJeVe
8-9
9-10
10-11
11-12
12-13
13-14
14-15
15-16
16-17
17-18
18-19
19-20
20-21
21-22
En construction

Cours
Exercice, TP
Projet, autre

### légende

• Semestre d'automne
• Session d'hiver
• Semestre de printemps
• Session d'été
• Cours en français
• Cours en anglais
• Cours en allemand