Paolo Tiso: Catalogue data in Autumn Semester 2020

Name Dr. Paolo Tiso
Chair in Nonlinear Dynamics
ETH Zürich, LEE M 205
Leonhardstrasse 21
8092 Zürich
Telephone+41 44 632 36 41
DepartmentMechanical and Process Engineering

151-0503-00LDynamics6 credits4V + 2UD. Kochmann, P. Tiso
AbstractDynamics of particles and rigid bodies: Motion of a single particle, motion of systems of particles, 2D and 3D motion of rigid bodies, vibrations
ObjectiveThis course provides Bachelor students of mechanical and civil engineering with fundamental knowledge of the kinematics and dynamics of mechanical systems. By studying the motion of a single particle, of systems of particles and of rigid bodies, we introduce essential concepts such as kinematics, work and energy, equations of motion, and forces and torques. Further topics include the stability of equilibria and vibrations as well as an introduction to the dynamics of deformable bodies. Examples presented in the lectures and weekly exercise sessions help students learn basic techniques that are necessary for advanced courses and work on engineering applications.
Content1. Motion of a single particle: kinematics (trajectory, velocity, acceleration), forces and torques, active and reaction forces, balance of linear and angular momentum, work-energy balance, conservative systems, equations of motion.
2. Motion of systems of particles: internal and external forces, balance of linear and angular momentum, work-energy balance, rigid systems of particles, particle collisions.
3. Motion of rigid bodies in 2D and 3D: kinematics (angular velocity, velocity and acceleration transfer, instantaneous center and axis of rotation), balance of linear and angular momentum, work-energy balance, angular momentum transport, inertial vs. moving reference frames, apparent forces, Euler equations.
4. Vibrations: Lagrange equations, single-DOF oscillations (natural frequency, free-, damped-, and forced response), multi-DOF oscillations (natural frequencies, eigenmodes, free-, damped-, and forced response).
5. Introduction to waves and vibrations in deformable elastic bodies.
Lecture notesTyped course material will be available. Students are responsible for preparing their own notes in class.
LiteratureTyped course material will be available.
Prerequisites / NoticePlease log in to moodle ( ), search for "Dynamics", and join the course there. All exercises sheets and the typed lecture material will be uploaded there.