Efficiency of hysteretic damper in oscillating systems

M.E Semenov,Andrey M Solovyov,Peter A Meleshenko,Olga O Reshetova,Michela Eleuteri,Pavel Krejčí,Dmitrii Rachinskii

doi:10.1051/mmnp/2019053

M.E Semenov, Andrey M Solovyov + Show 5 more

Open Access

https://doi.org/10.1051/mmnp/2019053

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Abstract

This paper is dedicated to comparative analysis of nonlinear damping in the oscillating systems. More specifically, we present the particular results for linear and nonlinear viscous dampers, fractional damper, as well as for the hysteretic damper in linear and nonlinear (Duffing-like) oscillating systems. We consider a constructive mathematical model of the damper with hysteretic properties on the basis of the Ishlinskii-Prandtl model. Numerical results for the observable characteristics, such as the force transmission function and the “force-displacement” transmission function are obtained and analyzed for both cases of the periodic affection, as well as for the impulse affection (in the form of δ-function). A comparison of an efficiency (in terms of the corresponding transmission functions) of the nonlinear viscous damper and the hysteretic damper is also presented and discussed.

Highlights

The dampers and damping processes have a long history and especially relevant in the present days due to development of the modern impact-vibrational systems
In order to compare the viscous damper and hysteretic damper we present the numerical results for two characteristics of the system, namely, the force transmission function and the “force-displacement” transmission function
This work is considered the various kinds of damping processes that occur in the oscillations of real mechanical systems with damping blocks

Summary

Introduction

The dampers and damping processes have a long history and especially relevant (from both the fundamental and the applied points of view) in the present days due to development of the modern impact-vibrational systems (see, e.g., [1]). The influence of nonlinear damping effects on the stability of oscillating systems are considered in [14] (see, the related references). It should be pointed out the exciting and interesting (generally, from the fundamental point of view) model of generalized viscous damping which is based on the technique of fractional derivatives [2, 10, 30]. Main purpose of this work is to study the dynamics of a mechanical system (oscillating mechanical system) under various external affections (forced oscillations) in the presence of a damping block Special interest in this case has a damper with hysteretic properties. In contrast to early works on the hysteretic damping, in the proposed model we use the design approach to hysteresis converter

Damping

Hysteretic Ishlinskii-Prandtl material

Hysteretic damping

Transmission characteristics

Simulation results

Conclusions