Vehicle Vibrations (FSI-VVD)

The objective of the course is to familiarize students with the dynamics of vibrations in transportation vehicles. Emphasis is placed on simulating vibrations from diverse sources, alongside conducting vibration measurements and the subsequent processing and interpretation of collected data.

Students must be familiar with differential and matrix calculus, know basic programming (MATLAB, Python)

In this course, students will delve into numerical vibration simulations employing straightforward linear models featuring multiple degrees of freedom. Fundamental dynamic properties explored include the natural frequency of vibration and its corresponding amplitude. Throughout the course, we delve into diverse sources of vibration, such as those arising from road irregularities or unbalanced rotating components in vehicles. Additionally, students will familiarize themselves with different types of vibration sensors and learn techniques for presenting and extracting valuable insights from measured data.

Conditions for obtaining credits: Active participation in exercises, achieving a minimum of 10 points out of 20 possible. The point gained from exercises is part of the final subject classification.

Exam: The exam is divided into two parts. The classification of the exam is based on the classifications of both parts. If one of the parts is classified as F, the final grade of the exam is F. The first part consists of a cross-sectional test, from which a maximum of 30 points can be obtained. The second part involves solving typical tasks from the profiling areas of the subject. A maximum of 50 points can be obtained from this part. The specific format of the exam, types, number of examples or questions, and assessment details will be provided by the lecturer during the semester. The final evaluation is determined by the sum of the point gained from exercises and the exam according to ECTS. To successfully complete the subject, it is necessary to obtain at least 50 points.

• Lagrange equations, generalized coordinates, generalized force.


• Vibrations of systems with a single degree of freedom, free vibrations, natural frequencies, mode shapes, and damping.


• Oscillations of systems with a single degree of freedom, harmonic excitation, base excitation, and excitation by unbalance (critical speed).


• Motors' rotor balancing


• Vibration sensors, standards for acceptable vibration, effect of vibration on humans, sources of vibration.


• Vibration of systems with multiple degrees of freedom, derivation of equations of motion, and calculation of natural frequencies.


• Dynamic damper Vibrations in a drive-mechanical load system


• Vehicle models, quar car model. Excitation from crossing roughness


• Vehicle suspension models, passive, semi-active, active.

• Vibration of system with one degree of freedom.


• Equation of motion.


• Vibration simulation and vibration response analysis.


• Vibration measurement, vibration analysis.


• Motors' rotor balancing


• Vibration of systems with multiple degrees of freedom.


• Equations of motion, models, eigenvalue problem.


• Vibrations in the drive-mechanical load system


• Vehicle models, quarter car model. Excitation from crossing roughness.

BREPTA, Rudolf, Ladislav PŮST a František TUREK, 1994. Mechanické kmitání. Technický. Praha: Sobotáles.