151-0503-00L  Dynamics

SemesterHerbstsemester 2018
DozierendeD. Kochmann, P. Tiso
Periodizitätjährlich wiederkehrende Veranstaltung
LehrspracheEnglisch


KurzbeschreibungKinematics, dynamics and oscillations: Motion of a single particle, motion of systems of particles, 2D and 3D motion of rigid bodies, vibrations
LernzielThis course provides Bachelor students of mechanical and civil engineering with fundamental knowledge of kinematics and dynamics of mechanical systems. By studying motion of a single particle, systems of particles and rigid bodies, we introduce essential concepts such as work and energy, equations of motion, and forces and torques. Further topics include stability of equilibria and vibrations. Examples presented in the lectures and weekly exercise lessons help students learn basic techniques that are necessary for advanced courses and work on engineering applications.
Inhalt1. Motion of a single particle: kinematics (trajectory, velocity, acceleration, inertial frame, moving frames), forces and torques, active and reaction forces, balance of linear and angular momentum, work-energy principle, conservative systems, equations of motion.
2. Motion of systems of particles: internal and external forces, balance of linear and angular momentum, work-energy principle, rigid body systems of particles, particle collisions.
3. Motion of rigid bodies in 2D and 3D: kinematics (angular velocity, velocity transport formula, instantaneous center of rotation), balance of linear and angular momentum, work-energy principle, angular momentum transport, Euler's equations.
4. Vibrations: Lagrange equations, 1-DoF oscillations (natural frequencies, free-, damped-, and forced response), multi-DOF oscillations (natural frequencies, normal modes, free-, damped-, and forced response), examples of vibrations in deformable bodies.
SkriptTyped course material will be available. Students are responsible for preparing their own notes in class.
LiteraturTyped course material will be available
Voraussetzungen / BesonderesPlease log in to moodle ( Link ), search for "Dynamics", and join the course there. All exercises sheets and the typed lecture material will be uploaded there.