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Differential tooth surface modification method for reducing vibration in spiral bevel and hypoid gears
ID Zhang, Yu (Author), ID Duan, Chengyu (Author), ID Li, Xiao (Author), ID Wang, Zhiyong (Author), ID Ma, Yanli (Author), ID He, Guoqi (Author)

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Abstract
To address the issue of increased gear noise in electric vehicle drivetrains due to higher rotational speeds, a differential tooth surface modification method for spiral bevel and hypoid gears is proposed. A mathematical model for spiral bevel and hypoid gears is established using the vector method. Based on this model, a finite element dynamic model of the gears is developed through secondary development using Adams software. A tooth surface modification approach involving parameters (bias factor and profile separation factor) varying according to a sinusoidal function is investigated, alongside its impact on micro-topography of the tooth surface. A comparative simulation analysis is performed to evaluate the sinusoidal parameter design method against traditional modification methods, emphasizing gear angular acceleration and meshing force under various operating conditions. The results demonstrate that the differential modification method achieves a significant reduction in the first three orders of meshing frequencies under almost all conditions, with maximum reductions in the first-order frequency amplitudes of the gear angular acceleration and meshing force reaching 22.98 % and 36.05 %, respectively. This confirms the method effectiveness in reducing gear vibration and noise. The proposed differential modification method for spiral bevel and hypoid gears offers a novel approach for vibration and noise mitigation, offering valuable technical support for designing and manufacturing of high-performance electric vehicles.

Language:English
Keywords:spiral bevel and hypoid gears, differential tooth surface modification, dynamic simulation, angular acceleration, meshing force
Work type:Article
Typology:1.01 - Original Scientific Article
Organization:FS - Faculty of Mechanical Engineering
Publication status:Published
Publication version:Version of Record
Year:2025
Number of pages:9 str.
Numbering:Vol. 71, no. 7/8
PID:20.500.12556/RUL-175284 This link opens in a new window
UDC:621
ISSN on article:2536-3948
DOI:10.5545/sv-jme.2024.1249 This link opens in a new window
COBISS.SI-ID:254441475 This link opens in a new window
Publication date in RUL:23.10.2025
Views:301
Downloads:199
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Record is a part of a journal

Title:Strojniški vestnik
Shortened title:Stroj. vestn.
Publisher:Fakulteta za strojništvo
ISSN:2536-3948
COBISS.SI-ID:294943232 This link opens in a new window

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License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

Language:Slovenian
Title:Metoda diferencialne modifikacije površin za zmanjšanje vibracij v spiralnih stožčastih in hipoidnih zobnikih
Abstract:
Za obravnavo problema povečanega hrupa zobnikov v pogonih električnih vozil zaradi višjih vrtilnih hitrosti je predlagana metoda diferencialne modifikacije zobnih površin za spiralne stožčaste in hipoidne zobnike. Z vektorsko metodo je oblikovan matematični model spiralnih stožčastih in hipoidnih zobnikov. Na osnovi tega modela je bil s sekundarnim razvojem v programski opremi Adams razvit dinamični model zobnikov po metodi končnih elementov. Raziskana je metoda modifikacije zobne površine, kjer parametra (faktor odmika in faktor ločitve profila) variirata po sinusni funkciji, skupaj z njenim vplivom na mikrotopografijo zobne površine. Izvedena je bila primerjalna simulacijska analiza, s katero so ovrednotili metodo načrtovanja sinusnih parametrov v primerjavi s tradicionalnimi metodami modifikacij, s poudarkom na kotnem pospešku zobnika in sili v spregi pri različnih obratovalnih pogojih. Rezultati so pokazali, da diferencialna metoda modifikacije občutno zmanjša amplitude pri prvih treh redih spregnih frekvenc v skoraj vseh pogojih, pri čemer je doseženo največje zmanjšanje za 22,98 % in 36,05 % v amplitudah prvega reda frekvenc kotnega pospeška zobnika oziroma sile v spregi. To potrjuje učinkovitost metode pri zmanjševanju vibracij in hrupa zobnikov. Predlagana diferencialna metoda modifikacije spiralnih stožčastih in hipoidnih zobnikov tako predstavlja nov pristop k zmanjšanju vibracij in hrupa ter nudi dragoceno tehnično podporo pri načrtovanju in proizvodnji pogonov električnih vozil visoke zmogljivosti.

Keywords:spiralni stožčasti in hipoidni zobniki, diferencialna modifikacija zobnih površin, dinamična simulacija, kotni pospešek, sila v spregi

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