In the course the students will be acquainted with the basic dynamic properties and dynamic behavior of the components and parts of rotor systems. Specifically, with the shaft, non-linear constraints between the rotating and non-rotating parts, turbine and compressor blades and disks. Special attention is paid to the rotor eigen frequencies, mode shapes and critical speed prediction. Some tasks can be computationally demanding, especially in the time domain solutions. Therefore, the students will be introduced to methods of reducing degrees of freedom. The course will also pay attention to vibrations and noise, which are accompanying phenomena of working processes of all machinery. The course is focused on the basics of acoustics, measurement of acoustic quantities and computational modeling of vibroacoustic systems. In the exercises students will be introduced to the solution of vibroacoustic problems using numerical methods. In addition, students will be introduced to optimization methods.