Abstract

A solution of the vibration attention problem on a flexible structure from a dynamic vibration absorption perspective is experimentally and numerically studied in this article. Linear and nonlinear dynamic vibration absorbers are properly implemented on a primary structure of n degrees of freedom through a modal decomposition analysis and using the tuning condition when the primary system has one single degree of freedom. A time-domain algebraic identification scheme for on-line modal parameter estimation of flexible structures is presented. A fast frequency estimation of harmonic excitation force is also obtained. A Hilbert transform analysis of the frequency response function for the case of nonlinear dynamic vibration absorption is introduced. In this way, influence of this particular passive nonlinear control device on system dynamic response can be determined. The proposed approach is validated on an harmonically perturbed building-like structure, which is discretized in a finite number of degrees of freedom. The flexible structure is subjected to resonant operational conditions, and coupled to a pendulum vibration absorber configured as a tuned mass damper as well as an autoparametric system.

Highlights

  • It is well known that excessive vibrations represent a destructive dynamic condition.Repetitive operation or external forces cause simultaneous movement that can resonate through the machine, building or bridge to a dangerous magnitude

  • We propose to apply the Hilbert transformation HT to the frequency response function (FRF) of the system

  • A comparison of a passive vibration control scheme applied to a flexible structure is studied experimentally

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Summary

Introduction

It is well known that excessive vibrations represent a destructive dynamic condition. Cuvalci et al [14] defined an absorption region for an autoparametric vibration absorber for a single degree of freedom primary system under sinusoidal and random excitations They experimentally determined the parameters that influence the effectiveness of a nonlinear vibration absorber. We are interested in implementing an on-line modal parameters identification technique to two different passive vibration control schemes for a flexible structure, justifying its tuning by means of a modal decomposition, in order to make an experimental comparison from a dynamic, frequency and energy approach.

Linear Vibration Absorber
Nonlinear Vibration Absorber
A Flexible Structure with n Degrees of Freedom
Time-Domain and On-Line Algebraic Identification of the Harmonic Excitation
Experimental Results
Non-Linearity Analysis
Application of a Linear Absorber
Application of a Nonlinear Absorber
Nonlinearity Analysis
Conclusions
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