Engineering Vibration Analysis of Mechanical Systems

The goal of studying Engineering Vibration Analysis is to understand how mechanical systems respond to oscillatory forces, predict their dynamic behavior, and control vibrations to improve performance, safety, and reliability. This field focuses on analyzing natural frequencies, modes of vibration, damping, and resonance phenomena, which are crucial for designing systems that minimize harmful vibrations and ensure optimal functionality in various engineering applications. Introduction to the subject. Familiarization with Item Description Card. Presentation of learning outcomes. Presentation of the conditions and method of passing. Discussion of the literature on the subject. Introduction to vibration analysis. Vibration of mechanical systems with one degree of freedom. The vibrations of systems having more than one degree of freedom. The vibration of systems with distributed mass and elasticity. Harmonic analysis, random vibrations, shock excitation. Mechatronic vibration control sys

Course content: Introduction to the subject. Familiarization with Item Description Card. Presentation of learning outcomes. Presentation of the conditions and method of passing. Discussion of the literature on the subject. Introduction to vibration analysis. Vibration of mechanical systems with one degree of freedom. The vibrations of systems having more than one degree of freedom. The vibration of systems with distributed mass and elasticity Harmonic analysis, random vibrations, shock excitation. Mechatronic vibration control systems. Discussion of the formal conditions for carrying out classes. Frequency of small free oscillations of the system. Natural frequency of torsional oscillation of the system. Frequency of free vibration of the system. Equation of motion for the force inducted vibrations of more than one degrees of freedom system. Rayleigh\'s method to estimate the lowest natural frequency of flexural vibrations of system. Calculation of free flexural vibrations of system. Natural frequencies of the structure and the corresponding mode shapes. Flexibility matrix Equations of motion obtained by the Lagrange equation.

C.F. Beards: Engineering Vibration Analysis with Application to Control Systems, Hodder Headline PLC, 1995 J. Solnes: Stochastic processes and random vibrations theory and practice. John Wiley and Sons, West Sussex 1997 R.N. Jazar: Vibrations of thick cylindrical structures. Springer Verlag. New York 2010 V.A. Svetlitsky: Engineering vibration analysis. Springer Verlag. Berlin- Heidelberg 2004