Viscoelastic Neutralizers for a Non-Linear Cubic Primary System: Classical Approach

Abstract

In this work we carry out the numerical optimization of a linear viscoelastic vibration neutralizer which is attached to a nonlinear primary system. The study considers a cubic nonlinearity in the primary system which is subjected to a harmonic external excitation of variable frequency. The optimum neutralizers will be obtained for different values of the linearized frequency of the nonlinear system and for different values of the magnitude of the harmonic excitation. Numerical tests will also be performed to show how a temperature variation affects the efficiency of the optimum viscoelastic neutralizer for the considered materials. Additionally, the main effect that the neutralizer produces in the dynamics of the compound system is also discussed.