Influence of Non-linear Damping on Non-linear Structures Vibrations

Resumo

The study of linear and non-linear dynamic behavior of structures is an area that has received constant
attention in recent decades, due to the fact that the structures have become increasingly light and slender, causing
vibration problems to be taken into account during the project. Many studies have been developed to try to
understand the nonlinear response of structural systems, especially chaotic vibrations considering different types
of nonlinearities in systems with gain or loss of stiffness. In this sense, many studies have been developed
considering linear damping, but in many applications, it is necessary to consider non-linear damping, such as drag
forces or vibration isolation, which mainly affect the non-linear dynamic response of systems. This work aims to
study the role of non-linear damping in non-linear oscillations of a discrete system with a degree of freedom. It is
considered a discrete system of a degree of freedom and subjected to variable loads over time considering three
types of damping (linear, quadratic and cubic). Resonance curves are obtained for various load and damping values
in order to observe their influence on the dynamic instability of the system.