Multibody Dynamics Systems

Données Générales
Programme Académique	ECAM LaSalle Mechanical and Electrical Engineering Programme			Responsable(s) Module : MANNAH Marc Anthony
Type d'EC : Cours	Multibody Dynamics Systems (LIIEEng07EMultiDynSys)
TD : 12h00 TP : 4h00 Cours : 8h00 Durée totale: 24	Statut	Periode Semester 7	Langue d'enseignement : English

Objectifs Généraux
- Recall specific technical vocabulary of kinematic and dynamic of rigid bodies. - Apply the method associated with the study of the dynamic of rigid bodies - Determine the accelerations and the forces acting on solids in multi-body mechanisms - Calculate kinematics and dynamics parameters using software for rigid bodies - Combine analytical methods and a numerical approach to solve multi-body rigid dynamic problems - Check consistency of a dynamical study applied to an industrial case

Objectifs Généraux

- Recall specific technical vocabulary of kinematic and dynamic of rigid bodies.
- Apply the method associated with the study of the dynamic of rigid bodies
- Determine the accelerations and the forces acting on solids in multi-body mechanisms
- Calculate kinematics and dynamics parameters using software for rigid bodies
- Combine analytical methods and a numerical approach to solve multi-body rigid dynamic problems
- Check consistency of a dynamical study applied to an industrial case

Contenu
The course resumes the basics of rigid body mechanic. 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. Furthermore, the energy formalisme is introduced. Exercises are done after each notion to put into practice formula and method introduced in the course.

Contenu

The course resumes the basics of rigid body mechanic.
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. Furthermore, the energy formalisme is introduced.
Exercises are done after each notion to put into practice formula and method introduced in the course.

Prérequis
Before taking this course, students should be able to - Derive a polynomial function of degree n, trigonometric functions and composite functions - Integrate a polynomial function of degree n, trigonometric functions and composite functions - Calculate a scalar and vector product in three dimensions - Project a three-dimensional vector - Use a torsor and its transport properties for calculation - Invert a matrix of dimension 2 or higher - Multiply matrices of dimension 2 or higher

Prérequis

Before taking this course, students should be able to
- Derive a polynomial function of degree n, trigonometric functions and composite functions
- Integrate a polynomial function of degree n, trigonometric functions and composite functions
- Calculate a scalar and vector product in three dimensions
- Project a three-dimensional vector
- Use a torsor and its transport properties for calculation
- Invert a matrix of dimension 2 or higher
- Multiply matrices of dimension 2 or higher

Bibliographie
- 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

Bibliographie

- 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