Analysis of a nonlinear dynamic absorption system

Author:

Nešić Nikola1ORCID,Simonović Julijana2ORCID,Nestorović Tamara3ORCID

Affiliation:

1. Faculty of Technical Sciences University of Priština in Kosovska Mitrovica Kosovska Mitrovica Serbia

2. Faculty of Mechanical Engineering University Niš Niš Serbia

3. Mechanics of Adaptive Systems Ruhr University Bochum Bochum Germany

Abstract

AbstractPassive dynamic absorbers, also known as mass dampers, are typically investigated for their use in vibration suppression of buildings and structures. The proposed model consists of two rigid bodies, where the main body rests on a viscoelastic foundation. Additional attached mass represents a nonlinear energy sink. The dynamical interaction and behavior of a two‐degree‐of‐freedom mechanical system are described with a system of two coupled differential equations of the second order. The first equation contains the damping term. The second equation is nonlinear. The nonlinear differential equation system is solved using an incremental harmonic balance method. The influence of the resting foundation's viscoelastic properties on the main body's dynamics is analyzed. Additionally, the variations of other system parameters, especially the mass damper features, on amplitude‐frequency response curves are analyzed and discussed.

Publisher

Wiley

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