Dynamic Modelling of Planetary Gearboxes with Cracked Tooth Using Vibrational Analysis

Imthiyas Manarikkal; Faris Elasha; Dina Shona Laila; David Mba

doi:10.1007/978-3-030-11220-2_25

Dynamic Modelling of Planetary Gearboxes with Cracked Tooth Using Vibrational Analysis

Imthiyas Manarikkal, Faris Elasha, Dina Shona Laila, David Mba

De Montfort University

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

2 Citations (Scopus)

Abstract

Planetary gearboxes failure has been a major problem in systems reliability, hence condition monitoring of this component is essential. In order to identify faults, a dynamic model of the gearbox is presented taking into account backlash and tooth cracks. Newtonian equations of motion developed for a planetary gear is solved and modal analysis for solving the lumped parametric differential equations of modelled single stage planetary gearbox is adopted to observe the vibrational responses and to compare with existing literature. This work focuses primarily on the effects of stiffness and damping. The eigenvalue problem has been solved to measure the natural frequencies and amplitude of the system. Parametric studies using stiffness and damping results indicate significant changes in vibrational signals when there is a crack present on tooth. Simulation results also show the relation between increment in backlash and high frequency responses in the resultant vibration.

Original language	English
Title of host publication	Advances in Condition Monitoring of Machinery in Non-Stationary Operations
Publisher	Springer Verlag
Pages	240-249
Number of pages	10
Volume	15
ISBN (Electronic)	978-3-030-11220-2
ISBN (Print)	978-3-030-11219-6
DOIs	https://doi.org/10.1007/978-3-030-11220-2_25
Publication status	Published - 2019
Event	International Conference on Condition Monitoring of Machinery in Non-Stationary Operation - Santander, Spain Duration: 20 Jun 2018 → 22 Jun 2018 https://cmmno2018.unican.es/

Publication series

Name	Applied Condition Monitoring
Publisher	Springer
ISSN (Print)	2363-698X

Conference

Conference	International Conference on Condition Monitoring of Machinery in Non-Stationary Operation
Abbreviated title	CMMNO 2018
Country/Territory	Spain
City	Santander
Period	20/06/18 → 22/06/18
Internet address	https://cmmno2018.unican.es/

Keywords

Crack
Damping
Dynamic modelling
Gearbox
Stiffness
Vibration

ASJC Scopus subject areas

Mechanical Engineering
Mechanics of Materials
Materials Science(all)

Access to Document

10.1007/978-3-030-11220-2_25

Cite this

Dynamic Modelling of Planetary Gearboxes with Cracked Tooth Using Vibrational Analysis. / Manarikkal, Imthiyas; Elasha, Faris; Laila, Dina Shona et al.
Advances in Condition Monitoring of Machinery in Non-Stationary Operations. Vol. 15 Springer Verlag, 2019. p. 240-249 (Applied Condition Monitoring).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Manarikkal, I, Elasha, F, Laila, DS & Mba, D 2019, Dynamic Modelling of Planetary Gearboxes with Cracked Tooth Using Vibrational Analysis. in Advances in Condition Monitoring of Machinery in Non-Stationary Operations. vol. 15, Applied Condition Monitoring, Springer Verlag, pp. 240-249, International Conference on Condition Monitoring of Machinery in Non-Stationary Operation, Santander, Spain, 20/06/18. https://doi.org/10.1007/978-3-030-11220-2_25

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AU - Mba, David

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Y1 - 2019

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AB - Planetary gearboxes failure has been a major problem in systems reliability, hence condition monitoring of this component is essential. In order to identify faults, a dynamic model of the gearbox is presented taking into account backlash and tooth cracks. Newtonian equations of motion developed for a planetary gear is solved and modal analysis for solving the lumped parametric differential equations of modelled single stage planetary gearbox is adopted to observe the vibrational responses and to compare with existing literature. This work focuses primarily on the effects of stiffness and damping. The eigenvalue problem has been solved to measure the natural frequencies and amplitude of the system. Parametric studies using stiffness and damping results indicate significant changes in vibrational signals when there is a crack present on tooth. Simulation results also show the relation between increment in backlash and high frequency responses in the resultant vibration.

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KW - Damping

KW - Dynamic modelling

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KW - Stiffness

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Dynamic Modelling of Planetary Gearboxes with Cracked Tooth Using Vibrational Analysis

Abstract

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Keywords

ASJC Scopus subject areas

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