# 151-0503-00L Dynamics

Semester | Autumn Semester 2016 |

Lecturers | G. Haller, P. Tiso |

Periodicity | yearly recurring course |

Language of instruction | English |

Abstract | Kinematics, dynamics and oscillations: Motion of a single particle - Motion of systems of particles - 2D and 3D motion of rigid bodies Vibrations |

Objective | This course provides Bachelor students of mechanical 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. |

Content | 1. Motion of a single particle || Kinematics: trajectory, velocity, acceleration, inertial frame, moving frames - Forces and torques. Active- and reaction forces. - Linear momentum principle, angular momentum principle, work-energy principle - Equations of motion; 2. Motion of systems of particles || Internal and external forces - Linear momentum principle, angular momentum principle, work-energy principle - Rigid body systems of particles; conservative systems 3. 3D motion of rigid bodies || Kinematics: angular velocity, velocity transport formula, instantaneous center of rotation - Linear momentum principle, angular momentum principle, work-energy principle - Parallel axis theorem. Angular momentum transport formula 4. Vibrations || 1-DOF oscillations: natural frequencies, free-, damped-, and forced response - Multi-DOF oscillations: natural frequencies, normal modes, free-, damped-, and forced response - Estimating natural frequencies and mode shapes - Examples |

Lecture notes | Hand-written slides will be downloadable after each lecture. |

Literature | Typed course notes from the previous year |

Prerequisites / Notice | Please log in to moodle ( https://moodle-app2.let.ethz.ch/auth/shibboleth/login.php ), search for "Dynamics", and join the course there. All exercises sheets, lecture materials etc. will be uploaded there. |