Teilinstitut Dynamik/Mechatronik - Lehre und Studium
Institut für Technische Mechanik

Engineering Mechanics III (Lecture)

  • Typ: Vorlesung (V)
  • Semester: WS 19/20
  • Ort:

    Building 10.50 102

  • Zeit:

    Montag, 14:00 - 15:30

  • Beginn: 14.10.2019
  • Dozent/Übungsleiter: Prof.Dr.Ing. Wolfgang Seemann
  • SWS: 2
  • LVNr.: 3161012

Vortragssprache:

Englisch

Current information

The lecture will be recorded and uploaded in the Ilias course. There will be a time schedule listing all lectures and tutorials. The first lectures have already been uploaded. The first tutorial will be uploaded on 28th April.

Due to the current corona crisis the workshops of the Dynamics Lab in the summer term 2020 are cancelled. As a replacement for the workshops we are going to hold two tutorials. In total there will be 10 tutorials in Engineering Mechanics IV. So you need 9 accepted exercise sheets in order to receive the exam prerequisite. Join the Ilias course! The tutorials will be recorded as well and uploaded in the Ilias course. The exercise sheets will be submitted via Ilias! Further information about the tutorials are going to be published on Ilias at the beginning of the lectures.

If the crisis is over at the end of this summer term, it will be still possible for you to take part in the Dynamics Lab workshops, so that you can put your theoretical knowledge into practice. However, the workshops will not be evaluated and the participation is therefore voluntary. We recommend the participation. 

Live recordings

The live recordings of the lecture Engineering Mechanics III/IV will be uploaded after the lecture. The link to the videos will be published here after the beginning of the lecture.

Course informations

Learning target:

Engineering mechanics III deals with kinematics and kinetics of system of particles as well as plane motion of rigid bodies under the influence of forces and moments. Equations of motion are derived using Newton's axiom and the principle of moment of momentum. As applications the equations of motion are derived for systems of particles and simple systems of rigid bodies, including impact problems. Therefore, the course aims at applying Newton-Euler's equations, Principle of moment and principle of moment of momentum as well as principle of energy conservation for simple mechanical engineering problems.

Content:

  • Kinematics: Cartesian, cylindrical and natural coordinates. Time derivatives in moving reference frames, angular velocities of reference frames.
  • Kinetics of a particle: Newton's axiom, Principle of d'Alembert, work of a force, kinetic and potential energies, principle of linear momentum, principle of moment of momentum, kinetics in moving reference systems 
  • Systems of particles: Principle of center of mass, Principle of moment of momentum, impacts between particles, systems with variable mass, applications.
  • Plain motion of rigid bodies:
    Pure translation, pure rotation, general plain motion. Instantaneous center of rotation, Kinetics, moment of momentum, principle of work and principle of energy conservation for a rotation around a space-fixed axis. Mass moment of inertia, parallel-axis-theorem.Principle of linear momentum and principle of moment of momentum for arbitrary plain motion. Principle of d'Alembert for plain motion. Principles of linear and moment of momentum in integral form. Applications for impact problems.