Modal energetic analysis and dynamic response of worm gear drives with a new developed dynamic model

In order to investigate the behaviour of worm drives, a new dynamic model, composed of two blocks, is established and used to extract numerical results. The tooth deflection of the worm drive, bearings, and wheels inertias are taken into consideration. Newmark solving method is applied to solve moti...

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Main Authors: Chakroun, Ala Eddin, Hammami, Ahmed, De-Juan, Ana, Chaari, Fakher, Fernandez, Alfonso, Viadero, Fernando, Haddar, Mohamed
Format: Article
Language:English
Published: Académie des sciences 2021-05-01
Series:Comptes Rendus. Mécanique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.80/
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author Chakroun, Ala Eddin
Hammami, Ahmed
De-Juan, Ana
Chaari, Fakher
Fernandez, Alfonso
Viadero, Fernando
Haddar, Mohamed
author_facet Chakroun, Ala Eddin
Hammami, Ahmed
De-Juan, Ana
Chaari, Fakher
Fernandez, Alfonso
Viadero, Fernando
Haddar, Mohamed
author_sort Chakroun, Ala Eddin
collection DOAJ
description In order to investigate the behaviour of worm drives, a new dynamic model, composed of two blocks, is established and used to extract numerical results. The tooth deflection of the worm drive, bearings, and wheels inertias are taken into consideration. Newmark solving method is applied to solve motion equations. The state of contact of teeth is what enables these signals to manifest themselves. Modal analysis is developed to investigate the different natural modes of the model. Furthermore, modal energetic analysis is used to understand the distribution of strain and kinetic energies. It is also applied to classify natural models into “teeth modes” and “bearing modes”. These two modes constitute two different frequency bands. The dynamic coefficient is measured simultaneously with the gradual increase of the turning speed of the motor. This allows for the evaluation of the overload of the system.
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spelling doaj.art-5691c2c692ba48929ed7dcb57fad43c52023-10-24T14:20:59ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342021-05-01349224125810.5802/crmeca.8010.5802/crmeca.80Modal energetic analysis and dynamic response of worm gear drives with a new developed dynamic modelChakroun, Ala Eddin0https://orcid.org/0000-0002-4255-5640Hammami, Ahmed1https://orcid.org/0000-0003-0287-2593De-Juan, Ana2https://orcid.org/0000-0003-3583-1624Chaari, Fakher3https://orcid.org/0000-0003-3392-1108Fernandez, Alfonso4https://orcid.org/0000-0001-6999-0776Viadero, Fernando5https://orcid.org/0000-0002-6483-1802Haddar, Mohamed6Department of Structural and Mechanical Engineering, University of Cantabria, Spain; Mechanics, Modelling and Production Laboratory, National School of Engineers Sfax, TunisiaMechanics, Modelling and Production Laboratory, National School of Engineers Sfax, TunisiaDepartment of Structural and Mechanical Engineering, University of Cantabria, SpainMechanics, Modelling and Production Laboratory, National School of Engineers Sfax, TunisiaDepartment of Structural and Mechanical Engineering, University of Cantabria, SpainDepartment of Structural and Mechanical Engineering, University of Cantabria, SpainMechanics, Modelling and Production Laboratory, National School of Engineers Sfax, TunisiaIn order to investigate the behaviour of worm drives, a new dynamic model, composed of two blocks, is established and used to extract numerical results. The tooth deflection of the worm drive, bearings, and wheels inertias are taken into consideration. Newmark solving method is applied to solve motion equations. The state of contact of teeth is what enables these signals to manifest themselves. Modal analysis is developed to investigate the different natural modes of the model. Furthermore, modal energetic analysis is used to understand the distribution of strain and kinetic energies. It is also applied to classify natural models into “teeth modes” and “bearing modes”. These two modes constitute two different frequency bands. The dynamic coefficient is measured simultaneously with the gradual increase of the turning speed of the motor. This allows for the evaluation of the overload of the system.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.80/Dynamic modelNatural frequenciesNatural modesWormWorm gearStiffness
spellingShingle Chakroun, Ala Eddin
Hammami, Ahmed
De-Juan, Ana
Chaari, Fakher
Fernandez, Alfonso
Viadero, Fernando
Haddar, Mohamed
Modal energetic analysis and dynamic response of worm gear drives with a new developed dynamic model
Comptes Rendus. Mécanique
Dynamic model
Natural frequencies
Natural modes
Worm
Worm gear
Stiffness
title Modal energetic analysis and dynamic response of worm gear drives with a new developed dynamic model
title_full Modal energetic analysis and dynamic response of worm gear drives with a new developed dynamic model
title_fullStr Modal energetic analysis and dynamic response of worm gear drives with a new developed dynamic model
title_full_unstemmed Modal energetic analysis and dynamic response of worm gear drives with a new developed dynamic model
title_short Modal energetic analysis and dynamic response of worm gear drives with a new developed dynamic model
title_sort modal energetic analysis and dynamic response of worm gear drives with a new developed dynamic model
topic Dynamic model
Natural frequencies
Natural modes
Worm
Worm gear
Stiffness
url https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.80/
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AT dejuanana modalenergeticanalysisanddynamicresponseofwormgeardriveswithanewdevelopeddynamicmodel
AT chaarifakher modalenergeticanalysisanddynamicresponseofwormgeardriveswithanewdevelopeddynamicmodel
AT fernandezalfonso modalenergeticanalysisanddynamicresponseofwormgeardriveswithanewdevelopeddynamicmodel
AT viaderofernando modalenergeticanalysisanddynamicresponseofwormgeardriveswithanewdevelopeddynamicmodel
AT haddarmohamed modalenergeticanalysisanddynamicresponseofwormgeardriveswithanewdevelopeddynamicmodel