Paolo Tiso: Catalogue data in Spring Semester 2020

Name Dr. Paolo Tiso
Address
Chair in Nonlinear Dynamics
ETH Zürich, LEE M 205
Leonhardstrasse 21
8092 Zürich
SWITZERLAND
Telephone+41 44 632 36 41
E-mailptiso@ethz.ch
DepartmentMechanical and Process Engineering
RelationshipLecturer

NumberTitleECTSHoursLecturers
151-0534-00LAdvanced Dynamics4 credits3V + 1UP. Tiso
AbstractLagrangian dynamics - Principle of virtual work and virtual power - holonomic and non holonomic contraints - 3D rigid body dynamics - equilibrium - linearization - stability - vibrations - frequency response
ObjectiveThis course provides the students of mechanical engineering with fundamental analytical mechanics for the study of complex mechanical systems .We introduce the powerful techniques of principle of virtual work and virtual power to systematically write the equation of motion of arbitrary systems subjected to holonomic and non-holonomic constraints. The linearisation around equilibrium states is then presented, together with the concept of linearised stability. Linearized models allow the study of small amplitude vibrations for unforced and forced systems. For this, we introduce the concept of vibration modes and frequencies, modal superposition and modal truncation. The case of the vibration of light damped systems is discussed. The kinematics and dynamics of 3D rigid bodies is also extensively treated.
Lecture notesLecture notes are produced in class and are downloadable right after each lecture.
LiteratureThe students will prepare their own notes. A copy of the lecture notes will be available.
Prerequisites / NoticeMechanics III or equivalent; Analysis I-II, or equivalent; Linear Algebra I-II, or equivalent.