Eventos Anais de eventos
MECSOL 2022
8th International Symposium on Solid Mechanics
Characterization of Oscillatory Motion in Multi Degree of Freedom Systems
Submission Author:
Rubens Gonçalves Salsa Junior , RN
Co-Authors:
Rubens Gonçalves Salsa Junior
Presenter: Rubens Gonçalves Salsa Junior
doi://10.26678/ABCM.MECSOL2022.MSL22-0162
Abstract
In many engineering applications, it is important to determine the effect of damping on the overall response because damped systems can exhibit oscillatory or non-oscillatory behaviors in free vibration. Characterization of the free motion of a single degree of freedom damped system is well understood: the nature of damped free motion can be determined by inspection of the viscous damping ratio, which is is a non-negative number defined by the coefficients of the system, and oscillatory behavior can be observed in underdamped systems. While a similar criteria for determining oscillatory behavior of free motion of multi degree of freedom damped systems is desired, the situation in this case is less clear because of coordinate coupling through the system's coefficient matrices. In this article, it is shown how coordinate decoupling can be used to construct a damping ratio for multi degree of freedom systems. The system damping ratio presented herein is a direct extension of the single degree of freedom case, providing a non-negative number that depends on the system's coefficient matrices that allows for the determination of weather oscillatory behavior is present or not. Its applicability is illustrated with an example from structural dynamics.
Keywords
Free vibrations, damping, Damping Ratio, decoupling, passive systems
