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            <idno type="halRefHtml">&lt;i&gt;Revue Européenne de Mécanique Numérique/European Journal of Computational Mechanics&lt;/i&gt;, 2004, 13 (5-6-7), pp.737-750. &lt;a target="_blank" href="https://dx.doi.org/10.3166/reef.13.737-750"&gt;&amp;#x27E8;10.3166/reef.13.737-750&amp;#x27E9;&lt;/a&gt;</idno>
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                <term xml:lang="en">harmonic balance method.</term>
                <term xml:lang="en">harmonic balance method</term>
                <term xml:lang="en">dynamic systems</term>
                <term xml:lang="en">rotordynamics</term>
                <term xml:lang="en">Hertz contact</term>
                <term xml:lang="en">bearing clearances</term>
                <term xml:lang="en">nonlinear analysis</term>
                <term xml:lang="fr">méthode de la balance harmonique</term>
                <term xml:lang="fr">analyse non linéaire</term>
                <term xml:lang="fr">rotor/stator contact</term>
                <term xml:lang="fr">jeux de roulement</term>
                <term xml:lang="fr">contact de Hertz</term>
                <term xml:lang="fr">systèmes tournants</term>
                <term xml:lang="fr">dynamique des systèmes</term>
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              <p>This paper presents a research devoted to the study of a rotor/stator contact induced vibration problems in turbo-machinery. A numerical rotor/stator system including a nonlinear bearing with Hertz contact and clearance is considered. Due to these nonlinearities, a complex non-linear analysis is necessary. To determine the non-linear responses of the rotor/stator system, the nonlinear dynamic equations can be integrated numerically. But this procedure is both time consuming and costly to perfom. The aim of this paper is to apply the Alternate Frequency/Time Method in order to determine the non-linear responses of the rotor/stator problem. By using this non-linear method, the orbits of rotor and stator and the evolutions of the associated contact force responses at various speeds will be performed.</p>
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              <p>Ce papier présente une étude portant sur les problèmes vibratoires liés au contact rotor/stator dans les turbo-machines. Un modèle numérique de rotor/stator comportant un roulement non linéaire avec contact de Hertz et du jeu est considéré. Du fait de ces nonlinéarités, une analyse complexe est nécessaire. Afin de déterminer les réponses vibratoires d'un tel système, les équations dynamiques non linéaires peuvent être intégrées numériquement. Cependant cette procédure est coûteuse en temps de calcul ; le but de ce papier est donc d'appliquer une méthode de balance harmonique (Alternate Frequency/Time Method) afin d'obtenir les réponses non linéaires du système rotor/stator. En utilisant cette approche, les orbites du rotor et du stator et les évolutions de la force de contact associée pour diverses vitesses de rotation sont étudiés.</p>
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