Lecture

Dynamic Discretization in Mechanical Systems

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In course

ME-311: Dynamical effects in mechanical design

Ce cours poursuit la compréhension des effets cinématiques et dynamiques de systèmes mécaniques complexes et introduit les bases pour les comprendre et les modéliser. L'étudiant saura expliquer et modéliser la dynamique et choisir des modèles adéquats. ...

Description

This lecture covers the dynamics of mechanical systems, focusing on how to join different movements through dynamic discretization. It explains reduction principles, conservation laws, and the ideal number of degrees of freedom for a model. The instructor provides modeling tips and methods to estimate parameters in dynamic systems.

Instructor

Jürg Alexander Schiffmann

Teaching & PhD PhD Students Hendrik Dietmar Schillinger, Gabriele Iovanna, Husam Jubran, Selahittin Atilay Zervent, Harshita Ravindra Agarwal, Anupam Jena, Issam Soukhmane, Tristan Wolff Schwab, Aman Jain, Masato Omotsubo, Konstantin Andreas Jacoby, Andrii Artomov, Arnau Catala I Rams, Elize Alwash, Emanuele Pallaoro, Anna Abramishvili Past EPFL PhD Students Violette Mounier, Karim Magdi Zakaria Abdelrahman Shalash, Patrick Hubert Wagner, Markus Diehl, Philipp Kaspar Bättig, Kévin Rosset, Eliott Philippe

Official source

Related concepts (27)

Dynamical system

In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in an ambient space, such as in a parametric curve. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a pipe, the random motion of particles in the air, and the number of fish each springtime in a lake. The most general definition unifies several concepts in mathematics such as ordinary differential equations and ergodic theory by allowing different choices of the space and how time is measured.

Conservation movement

The conservation movement, also known as nature conservation, is a political, environmental, and social movement that seeks to manage and protect natural resources, including animal, fungus, and plant species as well as their habitat for the future. Conservationists are concerned with leaving the environment in a better state than the condition they found it in. Evidence-based conservation seeks to use high quality scientific evidence to make conservation efforts more effective.

Mechanical engineering

Mechanical engineering is the study of physical machines that may involve force and movement. It is an engineering branch that combines engineering physics and mathematics principles with materials science, to design, analyze, manufacture, and maintain mechanical systems. It is one of the oldest and broadest of the engineering branches. Mechanical engineering requires an understanding of core areas including mechanics, dynamics, thermodynamics, materials science, design, structural analysis, and electricity.

Degrees of freedom (mechanics)

In physics, the degrees of freedom (DOF) of a mechanical system is the number of independent parameters that define its configuration or state. It is important in the analysis of systems of bodies in mechanical engineering, structural engineering, aerospace engineering, robotics, and other fields. The position of a single railcar (engine) moving along a track has one degree of freedom because the position of the car is defined by the distance along the track.

Machine

A machine is a physical system using power to apply forces and control movement to perform an action. The term is commonly applied to artificial devices, such as those employing engines or motors, but also to natural biological macromolecules, such as molecular machines. Machines can be driven by animals and people, by natural forces such as wind and water, and by chemical, thermal, or electrical power, and include a system of mechanisms that shape the actuator input to achieve a specific application of output forces and movement.

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