Vibration technology is becoming increasingly important for people and the environment. Wherever oscillations or vibrations and shocks as well as structure-borne and airborne noise occur, damage and impairments to people and machines can occur. Noise and vibration comfort largely determine the class of a product and the quality at the workplace.
The lecture begins with a classification of measurement signals and their characteristic parameters. Displaying information in the time and frequency domain is particularly important. In this context, the Fourier transformation of signals and systems (single degree of freedom linear oscillator), the representation of periodic signals by means of a Fourier series and the discrete Fourier transformation of digitized measurement signals are described.
The following chapter 3 deals in detail with the modelling of linear oscillators with one degree of freedom. The solution in the frequency domain (Bode magnitude plot and Bode phase plot, transfer function) as well as in the time domain (impulse response) is discussed. A particular focus is on the methods of vibration isolation when installing machinery, harmonic vibrations as well as impulses are discussed in this context.
Chapter 4 contains the basics of measuring mechanical quantities. Starting at the structure of measuring devices to their electrical circuits, which convert the change of an ohmic resistance, an inductance, a capacitance, etc. into a voltage change (Wheatstone measuring bridge, carrier frequency bridge amplifier, charge amplifier, etc.).
The following chapter 5 discusses in detail all essential conversion principles (ohmic, inductive, capacitive, piezoelectric transducers) which are used to measure position, speed, acceleration, force, momentum, etc. Special focus is placed on vibration measurement technology.
Chapter 6 discusses parameters like range, sensitivity and resolution as well as dynamic behaviour that characterize an entire measuring device. Knowledge of the measurement error (systematic and stochastic errors) is required to specify a result. Finally, the basics of digital multimeters are discussed in this chapter.
Chapter 7 deals in detail with stationary torsional vibrations in drive units, starting with the modelling of torsional vibrators, multi degree of freedom torsional vibration systems, transformation and reduction of systems with gears, Eigenvalue analysis of undamped torsional vibration systems and stationary forced torsional vibrations in linear drive systems.
Due to the combination of mechanics and electrical engineering, this lecture can be regarded as a mechatronic lecture and requires prior knowledge of mathematics, physics, mechanics and electrical engineering.