Control of Energy Dissipation in a Strong Nonlinear, Damped and Periodically Excited System

In the biomass-fired boilers intensive deposit layer on the heating surface is formed. For deposit elimination various cleaning procedures are applied. The mechanical effect of cleaning is based on vibration of the system. The efficiency of the procedure depends on the parameters of the tube-deposit...

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Main Authors: Livija Cveticanin, Istvan Biro, Jozsef Sarosi, Gyula Mester
Format: Article
Language:English
Published: AIDIC Servizi S.r.l. 2018-08-01
Series:Chemical Engineering Transactions
Online Access:https://www.cetjournal.it/index.php/cet/article/view/793
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author Livija Cveticanin
Istvan Biro
Jozsef Sarosi
Gyula Mester
author_facet Livija Cveticanin
Istvan Biro
Jozsef Sarosi
Gyula Mester
author_sort Livija Cveticanin
collection DOAJ
description In the biomass-fired boilers intensive deposit layer on the heating surface is formed. For deposit elimination various cleaning procedures are applied. The mechanical effect of cleaning is based on vibration of the system. The efficiency of the procedure depends on the parameters of the tube-deposit vibrating system. In the paper the system is assumed to be a truly nonlinear oscillator with linear damping which is excited with a periodical cleaning force. The exact nonlinear resonance for the system is determined and exact steady states of the oscillator are computed. Special attention is given to the influence of damping properties of the deposit on the system vibration and on the energy dissipation due to mismatch between the excitation and damping. For determination of the energy change an approximate analytic solving procedure is developed. The method represents the adopted version of the time variable amplitude and phase procedure. As an example, the tube-deposit system described with damped Duffing oscillator excited with Jacobi elliptic function is considered. Analytically obtained solution is compared with numerical one. The results are in good agreement and prove the correctness of the suggested model. Finally, the generalized mathematical model of the tube-slag oscillatory system gives prediction of nonlinear resonant vibration caused by periodical cleaning force.
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spelling doaj.art-c93c6343092443429278aad48bb9b6d92022-12-21T19:59:01ZengAIDIC Servizi S.r.l.Chemical Engineering Transactions2283-92162018-08-017010.3303/CET1870363Control of Energy Dissipation in a Strong Nonlinear, Damped and Periodically Excited SystemLivija CveticaninIstvan BiroJozsef SarosiGyula MesterIn the biomass-fired boilers intensive deposit layer on the heating surface is formed. For deposit elimination various cleaning procedures are applied. The mechanical effect of cleaning is based on vibration of the system. The efficiency of the procedure depends on the parameters of the tube-deposit vibrating system. In the paper the system is assumed to be a truly nonlinear oscillator with linear damping which is excited with a periodical cleaning force. The exact nonlinear resonance for the system is determined and exact steady states of the oscillator are computed. Special attention is given to the influence of damping properties of the deposit on the system vibration and on the energy dissipation due to mismatch between the excitation and damping. For determination of the energy change an approximate analytic solving procedure is developed. The method represents the adopted version of the time variable amplitude and phase procedure. As an example, the tube-deposit system described with damped Duffing oscillator excited with Jacobi elliptic function is considered. Analytically obtained solution is compared with numerical one. The results are in good agreement and prove the correctness of the suggested model. Finally, the generalized mathematical model of the tube-slag oscillatory system gives prediction of nonlinear resonant vibration caused by periodical cleaning force.https://www.cetjournal.it/index.php/cet/article/view/793
spellingShingle Livija Cveticanin
Istvan Biro
Jozsef Sarosi
Gyula Mester
Control of Energy Dissipation in a Strong Nonlinear, Damped and Periodically Excited System
Chemical Engineering Transactions
title Control of Energy Dissipation in a Strong Nonlinear, Damped and Periodically Excited System
title_full Control of Energy Dissipation in a Strong Nonlinear, Damped and Periodically Excited System
title_fullStr Control of Energy Dissipation in a Strong Nonlinear, Damped and Periodically Excited System
title_full_unstemmed Control of Energy Dissipation in a Strong Nonlinear, Damped and Periodically Excited System
title_short Control of Energy Dissipation in a Strong Nonlinear, Damped and Periodically Excited System
title_sort control of energy dissipation in a strong nonlinear damped and periodically excited system
url https://www.cetjournal.it/index.php/cet/article/view/793
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AT istvanbiro controlofenergydissipationinastrongnonlineardampedandperiodicallyexcitedsystem
AT jozsefsarosi controlofenergydissipationinastrongnonlineardampedandperiodicallyexcitedsystem
AT gyulamester controlofenergydissipationinastrongnonlineardampedandperiodicallyexcitedsystem