Vibrations in Systems with One Degree of Freedom

Abstract

A mechanical system can undergo mechanical solicitations that can either be constant or variable in time. The behavior of the system will change widely depending on what type of load is applied. Even loads of similar magnitude will have different effects. Traditionally, time variation of stress in a system was not considered and only calculations considering maximum stress were carried out. It was up to the designer and his experience to choose a higher or lower safety factor according to how variable the load was in order to anticipate any eventuality. Theoretical analysis methods gave the opportunity to study system characteristics and dynamical behavior with precision. These dynamical loads, which are variable in time, provoke deformations in elastic bodies that can give way to vibration processes. The study of vibrations is related to oscillatory motion of non-rigid bodies and the forces related to them. Any system with mass and elasticity can vibrate.