Research on Nonlinear Vibration Characteristics of Internal Beveloid Gear Transmission System

The internal beveloid gear has good scientific research value and a broad application field. However, there is a lack of research on the nonlinear vibration characteristics of internal beveloid gears. The present study establishes a nonlinear vibration model that takes into account axial vibration,...

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Main Authors: Jianmin Wen, Chenqi Fu, Hong Zhang, Bindi You
Format: Article
Language:English
Published: MDPI AG 2023-11-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/13/22/12463
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author Jianmin Wen
Chenqi Fu
Hong Zhang
Bindi You
author_facet Jianmin Wen
Chenqi Fu
Hong Zhang
Bindi You
author_sort Jianmin Wen
collection DOAJ
description The internal beveloid gear has good scientific research value and a broad application field. However, there is a lack of research on the nonlinear vibration characteristics of internal beveloid gears. The present study establishes a nonlinear vibration model that takes into account axial vibration, gear torsional vibration, and radial support vibration. The effects of various excitation parameters on the vibration characteristics of the gear transmission system are analyzed and computed using the Runge–Kutta method. After analyzing the dynamic model of the gear pair using numerical methods, the harmonic balance method is employed to obtain the theoretical analytical solution for a single−stage gear. The obtained results are compared with the velocity and acceleration time−domain response curves obtained from the numerical method, and they show excellent agreement.
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spelling doaj.art-24ac310761a2426dbdea7489d6e1ece42023-11-24T14:27:56ZengMDPI AGApplied Sciences2076-34172023-11-0113221246310.3390/app132212463Research on Nonlinear Vibration Characteristics of Internal Beveloid Gear Transmission SystemJianmin Wen0Chenqi Fu1Hong Zhang2Bindi You3School of Ocean Engineering, Harbin Institute of Technology, Weihai 264209, ChinaSchool of Ocean Engineering, Harbin Institute of Technology, Weihai 264209, ChinaSchool of Ocean Engineering, Harbin Institute of Technology, Weihai 264209, ChinaSchool of Ocean Engineering, Harbin Institute of Technology, Weihai 264209, ChinaThe internal beveloid gear has good scientific research value and a broad application field. However, there is a lack of research on the nonlinear vibration characteristics of internal beveloid gears. The present study establishes a nonlinear vibration model that takes into account axial vibration, gear torsional vibration, and radial support vibration. The effects of various excitation parameters on the vibration characteristics of the gear transmission system are analyzed and computed using the Runge–Kutta method. After analyzing the dynamic model of the gear pair using numerical methods, the harmonic balance method is employed to obtain the theoretical analytical solution for a single−stage gear. The obtained results are compared with the velocity and acceleration time−domain response curves obtained from the numerical method, and they show excellent agreement.https://www.mdpi.com/2076-3417/13/22/12463beveloid gearsRunge–Kutta methodnonlinear vibrationharmonic balance method
spellingShingle Jianmin Wen
Chenqi Fu
Hong Zhang
Bindi You
Research on Nonlinear Vibration Characteristics of Internal Beveloid Gear Transmission System
Applied Sciences
beveloid gears
Runge–Kutta method
nonlinear vibration
harmonic balance method
title Research on Nonlinear Vibration Characteristics of Internal Beveloid Gear Transmission System
title_full Research on Nonlinear Vibration Characteristics of Internal Beveloid Gear Transmission System
title_fullStr Research on Nonlinear Vibration Characteristics of Internal Beveloid Gear Transmission System
title_full_unstemmed Research on Nonlinear Vibration Characteristics of Internal Beveloid Gear Transmission System
title_short Research on Nonlinear Vibration Characteristics of Internal Beveloid Gear Transmission System
title_sort research on nonlinear vibration characteristics of internal beveloid gear transmission system
topic beveloid gears
Runge–Kutta method
nonlinear vibration
harmonic balance method
url https://www.mdpi.com/2076-3417/13/22/12463
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AT chenqifu researchonnonlinearvibrationcharacteristicsofinternalbeveloidgeartransmissionsystem
AT hongzhang researchonnonlinearvibrationcharacteristicsofinternalbeveloidgeartransmissionsystem
AT bindiyou researchonnonlinearvibrationcharacteristicsofinternalbeveloidgeartransmissionsystem