Abstract

This paper deals with an experimental study on the modeling and identification of the hysterical behavior of inerters. Unlike existing methods that can only consider a constant inertance to capture a static model of the device, we develop three different dynamic models for a ball-screw type inerter. To eliminate the effects of the measurement noise, an empirical mode decomposition (EMD) method is proposed. Then, three dynamic models—the Dahl, LuGre and Bouc–Wen model—are used in order to model the friction behavior of the device. Using the least-square optimization method, the parameters of the models are estimated. The results of the tuned models are compared together within different frequencies. The good agreement between predicted and measured data shows that LuGre and Bouc–Wen models can be effective for modelling the hysteretic behavior of friction inside the inerter mechanism. It is also shown that the Bouc–Wen model has better correlation with the experimental results in all test frequencies and amplitudes.

Highlights

  • Vibration suppression is a fundamental topic in various systems such as vehicles, wind turbines, buildings and other structures

  • Fi,exp (x) − Fi,mod (x) i=1 where N is the number of data points, Fi,exp and Fi,mod are the measured force and the force calculated using a specific model, respectively, and x is the variable vector that includes different parameters depending on the model type (Dahl, LuGre or Bouc–Wen model)

  • The vector of variables varies depending on the model which is used for the inerter

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Summary

Introduction

Vibration suppression is a fundamental topic in various systems such as vehicles, wind turbines, buildings and other structures. The inerter nonlinearities, including friction, backlash and the elastic effect, and their impact on vehicle suspension performance were considered in the research of Wang et al [17] They built a testing platform to verify the nonlinear behavior of the inerter model. Sun et al [18] investigated the effect of ball-screw inerter nonlinearities on the vibration isolation performance of vehicle suspensions systems They considered friction and the elastic effect of the screw on the modeling part of the device. Based on the results of dynamic performance tests, the parameter of the models are tuned It should be noted the main focus of this research is to model the hysteretic effect of friction force and to find the most proper and realistic model for this device.

Modeling the Inerter
REVIEW
Denoising
It shouldtobe noted frequency of this harmonic signal is
Various Models of Friction for Inerter
Parameter Identification and Results
12. Forces
Conclusions
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