Suppression of chaos in a vibra tion - impact system using the linear optimal control project

Abstract

Mechanical vibrations are common in engineering equipment and c an be observed in the form of ac- celerations, displacements and speed. Mechanical vibrations, in most dynamic systems, are considered as un- wanted and can be harmful. However, there are situations that a re used to improve the operation and perfor- mance of machines. There are several causes of vibrations in en gineering systems, in this work, the vibrations caused by impact are highlighted. When systems are impacting ea ch other, they are characterized by vibro - im- pact systems. Various equipment w ith these characteristics can be mentioned, such as soil compacting rollers, impact hammers, soil drills, etc. In this work, the dynamic beh avior of a vibro-impacting system is demonstrat- ed. From the variation of the excitation frequency, the chaotic behavior was observed. Thus, the design of an optimal linear controller was developed to attenuate the vibrat ions in the operational regions in which the sys- tem is unstable. It has been shown that a good linear control s trategy demonstrates this type of situation and can be used to reduce damages, avoi ding economic losses, biological and material losses.