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research-article

A LINEARIZATION METHOD OF PIECEWISE LINEAR SYSTEMS BASED ON FREQUENCY DOMAIN CHARACTERISTICS WITH APPLICATION TO SEMI-ACTIVE CONTROL OF VIBRATION

[+] Author and Article Information
Tudor Sireteanu

Institute of Solid Mechanics, Romanian Academy, 15 Constantin Mille, Bucharest RO-010141
siretimsar@yahoo.com

Ovidiu Solomon

Institute of Solid Mechanics, Romanian Academy, 15 Constantin Mille, Bucharest RO-010141; Department of Applied Mathematics, The Bucharest University of Economic Studies, 6 Romana Square, Bucharest, RO-010374
ovidiu.solomon@csie.ase.ro

Ana-Maria Mitu

Institute of Solid Mechanics, Romanian Academy, 15 Constantin Mille, Bucharest RO-010141
anamariamitu@yahoo.com

Marius Giuclea

Institute of Solid Mechanics, Romanian Academy, 15 Constantin Mille, Bucharest RO-010141; Department of Applied Mathematics, The Bucharest University of Economic Studies, 6 Romana Square, Bucharest, RO-010374
marius.giuclea@csie.ase.ro

1Corresponding author.

ASME doi:10.1115/1.4039933 History: Received January 09, 2018; Revised March 30, 2018

Abstract

In this paper, is presented a new approach for linearization of piecewise linear systems with variable dry friction, proportional with absolute value of relative displacement. The transmissibility factors of considered systems, defined in terms of r.m.s. values, are obtained by numerical time integration of motion equations for a set of harmonic inputs with constant amplitude and different frequencies. A first order linear differential system is attached to the considered piecewise linear system such as the first component of solution vector of attached system to have the same transmissibility factor as the chosen output of nonlinear system. This method is applied for the semi-active control of vibration with balance logic strategy. Applications to base isolation of rotating machines and vehicle suspensions illustrate the effectiveness of the proposed linearization method.

Copyright (c) 2018 by ASME
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