Structural Dynamics

General Data
Academic program	General Engineering Program			:
Type d'EC	Classes
Lectures : 26h00 Lab Work : 8h00 Total duration : 46h00	Status :	Period : ACADEMIC SEMESTER	Education language : French

Learning Outcomes
- Knowing of the specific technical vocabulary of kinematic and dynamic of rigid bodies as well as for the vibration of generic bodies. - Being able to use the method associated with the study of the dynamic of rigid bodies in order to calculate their acceleration and the forces acting on them in multi-body mechanisms. - Knowing the method of modal analysis and being able to apply it for two degrees of freedom system - Develop abilities to use simulation software to do rigid bodies dynamic calculation - Ability to wisely use a simulation software in the study of dynamic or vibration of multi-body systems.

Learning Outcomes

- Knowing of the specific technical vocabulary of kinematic and dynamic of rigid bodies as well as for the vibration of generic bodies.
- Being able to use the method associated with the study of the dynamic of rigid bodies in order to calculate their acceleration and the forces acting on them in multi-body mechanisms.
- Knowing the method of modal analysis and being able to apply it for two degrees of freedom system
- Develop abilities to use simulation software to do rigid bodies dynamic calculation
- Ability to wisely use a simulation software in the study of dynamic or vibration of multi-body systems.

Content
The course resumes the basics of rigid body mechanic before introducing less common notions such as shocks theory and vibration analysis. The movement is studied independently of its causes first. The kinematic and the associated torsor are introduced. The course focus and the point before extrapolating the results to generic solids. Mechanical actions and their modelling is presented in order to apply the dynamic notions. Newton's laws are introduced et allow to link the movement to it cause. Energy is approached as well as the basics of shock theory, which is at the limit of the rigid body hypothesis. Finally, the vibration analysis and it matrix formalism is presented and applied at two degress of freedom systems. Exercises are done after each notion to put into practice formula and method introduced in the course.

Content

The course resumes the basics of rigid body mechanic before introducing less common notions such as shocks theory and vibration analysis.
The movement is studied independently of its causes first. The kinematic and the associated torsor are introduced. The course focus and the point before extrapolating the results to generic solids.
Mechanical actions and their modelling is presented in order to apply the dynamic notions.
Newton's laws are introduced et allow to link the movement to it cause.
Energy is approached as well as the basics of shock theory, which is at the limit of the rigid body hypothesis.
Finally, the vibration analysis and it matrix formalism is presented and applied at two degress of freedom systems.
Exercises are done after each notion to put into practice formula and method introduced in the course.

Pre-requisites / co-requisites
Basic knowledge in mechanics of rigid bodies - Level BAC + 2. Basic knowledge in mathematics for engineer - Level BAC + 2.

Bibliography
- Pierre Agati, Yves Brémont et Gérard Delville (2003). Mécanique du Solide - Application industrielle 2° éditions : Dunod 302 p. -Gérard Colombari, Jaques Giraud (2005). Sciences industrielles pour l'ingénieur : Foucher 384 p. -Jean-Dominique Mosser, Jacques Tanoh, Pascal Leclerq (2010). Sciences industrielles pour l'ingénieur : Dunod 263 p. - Luc Gaudiller (2013) Dynamique des solides indéformables - Cours et exercices. INSA Lyon

Bibliography

- Pierre Agati, Yves Brémont et Gérard Delville (2003). Mécanique du Solide - Application industrielle 2° éditions : Dunod 302 p.
-Gérard Colombari, Jaques Giraud (2005). Sciences industrielles pour l'ingénieur : Foucher 384 p.
-Jean-Dominique Mosser, Jacques Tanoh, Pascal Leclerq (2010). Sciences industrielles pour l'ingénieur : Dunod 263 p.
- Luc Gaudiller (2013) Dynamique des solides indéformables - Cours et exercices. INSA Lyon

Assessment(s)
N°	Nature	Coefficient	Observable objectives
1	2 hours exam without calculator or documents. Generals formulas are given at the end of the subject. Everything seen in the lecture needs to be known.	2	Check students' knowledge of technical vocabulary and evaluate their ability to use course content to solve simple problems.
2	Synthesis of the practical work activities to send 24h after ythe end of the session. 1 to 2 pages maximum	1	Check students' ability to correctly use simulation software, understand the influence of modeling parameters, interpret the results of calculations and resume it in a report.