Numerical Mechanics

Credits

6 ECTS, C. 36h

Instructors

Florence Bertails-Descoubes, Thibaut Métivet, Mélina Skouras, et Jean Jouve

Description

Applied to both special effects in films and virtual prototyping in industry, physical simulation has become a powerful tool for capturing, predicting, and even understanding the behavior of complex mechanical phenomena. The design of realistic, robust, and efficient mechanical simulators requires complementary skills in various fields such as mechanics, numerical analysis, and algorithmics.

The objective of this course is to provide students with both theoretical and practical tools to understand the important concepts behind physical simulation. The fundamentals of solid mechanics and numerical analysis will be presented and complemented by practical exercises on computers. Furthermore, throughout the sessions, students will have the opportunity to build their own simulator, implementing all the formalisms and techniques seen in the course (rigid body dynamics, contact detection, contact and friction response).

Syllabus

Lagrangian mechanics

Rigid bodies

Optimization under bilateral constraints

Optimization under unilateral constraints, introduction to frictionless contact

Frictional contact and advanced digital methods

Prerequisites

Keywords

Evaluation

Presentation