Technische Mechanik IV/ Engineering Mechanics IV – Institute of Dynamics and Vibration Research

The lecture is aimed at students of mechanical engineering, mechatronics, production engineering / logistics, energy technology and nanotechnology and as the elective Technical Vibration Theory at students of electrical engineering.

Event form	Lecture and exercise
Level	Bachelor
Semester	Summer term
Creditpoints	5

Goals

An introduction to the technical vibration theory is given. Mechanical oscillators and oscillation systems that can be described by linear differential equations are treated. The aim is the representation of vibration phenomena such as resonance and damping, the determination of the time response of the oscillators as well as investigations on how this time response can be changed in the desired way.

The relation between mechanical engineering and control engineering are shown.
Free and forced oscillations with a degree of freedom (undamped and damped) as well as multiple degree of freedom systems and continua are treated.

Topics

Introduction in the fundamentals for the description of vibrations
Undamped and damped vibrations of systems with one degree of freedom
Forced vibrations with harmonic and periodic excitation
Vibration systems with several degrees of freedom (resonance and tuned mass absorbers)
Vibrations of unidimensional continua (rods, beams)
Approximation methods

Previous knowledge

Engineering Mechanics I
Engineering Mechanics II
Engineering Mechanics III

Literature and working materials

Lecture notes as well as the collection of the last exams with sample solutions can be found under the respective course in Stud.IP.

The collection of formulae will be handed out during the lecture and during the speaking sessions.

Further literature:

Magnus, Popp: Schwingungen, Teubner-Verlag.
Hauger, Schnell, Groß: Technische Mechanik, Band 3: Kinetik, Springer-Verlag.
Hagedorn, Wallaschek: Technische Mechanik, Band 3: Dynamik, Verlag Harri Deutsch.
Hagedorn, Wallaschek: Technische Mechanik, Band 4: Schwingungslehre, Verlag Harri Deutsch.

Lecture and exercise dates

Lecture and exercise dates for the current semester can be found here.

Next examination

Examination dates and information on the examinations can be found here once the examination schedule has been announced. Please be sure to check for current changes by the Academic Examination Office.