Lagrangian dynamics - Principle of virtual work and virtual power - holonomic and non holonomic contraints - 3D rigid body dynamics - equilibrium - linearization - stability - vibrations - frequency response
Lernziel
This 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.
Skript
Lecture notes are produced in class and are downloadable right after each lecture.
Literatur
The students will prepare their own notes. A copy of the lecture notes will be available.
Voraussetzungen / Besonderes
Mechanics III or equivalent; Analysis I-II, or equiivalent; Linear Algebra I-II, or equivalent.
Leistungskontrolle
Information zur Leistungskontrolle (gültig bis die Lerneinheit neu gelesen wird)
Die Leistungskontrolle wird nur in der Session nach der Lerneinheit angeboten. Die Repetition ist nur nach erneuter Belegung möglich.
Prüfungsmodus
schriftlich 150 Minuten
Zusatzinformation zum Prüfungsmodus
Written exam // practice exam offered. Optional MATLAB assignments could be handed in in form of report. The different parts of the assignments are introduced as soon as the necessary theory is covered.
Hilfsmittel schriftlich
Self-prepared lecture notes or class lecture notes. No electronic devices (calculators, phones, laptops, tables) allowed.
Diese Angaben können noch zu Semesterbeginn aktualisiert werden; verbindlich sind die Angaben auf dem Prüfungsplan.
Lernmaterialien
Keine öffentlichen Lernmaterialien verfügbar.
Es werden nur die öffentlichen Lernmaterialien aufgeführt.
Gruppen
Keine Informationen zu Gruppen vorhanden.
Einschränkungen
Keine zusätzlichen Belegungseinschränkungen vorhanden.