Vibration control using nonlinear damped coupling

Maryam Ghandchi Tehrani,Vincenzo Gattulli

doi:10.1088/1742-6596/744/1/012132

Maryam Ghandchi Tehrani, Vincenzo Gattulli

Open Access

https://doi.org/10.1088/1742-6596/744/1/012132

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Abstract

In this paper, a dynamical system, which consists of two linear mechanical oscillators, coupled with a nonlinear damping device is considered. First, the dynamic equations are derived, then, an analytical method such as harmonic balance method, is applied to obtain the response to a harmonic base excitation. The response of the system depends on the excitation characteristics. A parametric study is carried out based on different base excitation amplitudes, frequencies, and different nonlinear damping values and the response of the system is fully described. For validation, time domain simulations are carried out to obtain the nonlinear response of the coupled system.

Highlights

Structural control deals with methodologies to design control systems for structural vibration attenuation even in the presence of strong external loadings such as the ones induced by seismic motion
A pair of simple oscillators or a pair of equivalent one-dimensional beams, coupled with a variety of damping devices, have often been employed as a synthetic but representative model to describe a wide class of structural realizations – for instance, adjacent tall buildings – or quasi-independent sub-systems that compose a single complex structure
A series of studies has been devoted to dissipative interconnections realized through hysteretic dampers [4, 5], friction dampers [6] or semi-active devices [7]

Summary

Introduction

Structural control deals with methodologies to design control systems for structural vibration attenuation even in the presence of strong external loadings such as the ones induced by seismic motion. A pair of simple oscillators or a pair of equivalent one-dimensional beams, coupled with a variety of damping devices, have often been employed as a synthetic but representative model to describe a wide class of structural realizations – for instance, adjacent tall buildings – or quasi-independent sub-systems that compose a single complex structure. Nonlinear damping has been considered for the problem of energy harvesting and it has been demonstrated that it can extend the dynamic performance range of the harvester [9]. Quasi-linear models have been used to describe the dynamic response of the system with nonlinear damping. A simple dynamic system composed of two linear oscillators is employed to analyze the control performance that can be achieved through a nonlinear damper connecting the two oscillators. The performance of the system with nonlinear damped coupling is compared with the system with linear damped coupling

Theoretical development

Harmonic base excitation

Numerical Example

Effect of the base excitation amplitude U

Effect of the Nonlinear damping γ

Conclusions