scholarly journals Fundamental Research on Gear Rattle (Effects of Mesh Stiffness Variation and Higher Harmonics of Driving Torque)

2008 ◽  
Vol 74 (745) ◽  
pp. 2137-2144 ◽  
Author(s):  
Yutaka YOSHITAKE ◽  
Takashi HAMANO ◽  
Hironori TAMURA ◽  
Akira HARADA ◽  
Atushi KOBAYASHI
Keyword(s):  
Mesh Stiffness ◽  
Higher Harmonics ◽  
Fundamental Research ◽  
Stiffness Variation ◽  
Driving Torque ◽  
Gear Rattle

606 Fundamental Research on Gear Rattle : Effect of Mesh Stiffness Variation

2007 ◽  
Vol 2007 (0) ◽  
pp. _606-1_-_606-6_
Author(s):  
Yutaka YOSHITAKE ◽  
Takashi HAMANO ◽  
Hironori TAMURA ◽  
Akira HARADA ◽  
Atsushi KOBAYASHI
Keyword(s):  
Mesh Stiffness ◽  
Fundamental Research ◽  
Stiffness Variation ◽  
Gear Rattle

scholarly journals Effects of Higher Harmonics of Driving Torque in Gear Rattle of Multi-Step Gear System(Mechanical Systems)

2010 ◽  
Vol 76 (763) ◽  
pp. 475-482 ◽  
Author(s):  
Yutaka YOSHITAKE ◽  
Yuta NISHI ◽  
Kohei OTUKA ◽  
Hironori TAMURA ◽  
Akira HARADA
Keyword(s):  
Mechanical Systems ◽  
Gear System ◽  
Higher Harmonics ◽  
Driving Torque ◽  
Gear Rattle

241 Effects of higher harmonics of driving torque in gear rattle of multi-step gear system

2009 ◽  
Vol 2009 (0) ◽  
pp. _241-1_-_241-6_
Author(s):  
Yutaka YOSHITAKE ◽  
Yuta NISHI ◽  
Hironori TAMURA ◽  
Akira HARADA
Keyword(s):  
Gear System ◽  
Higher Harmonics ◽  
Driving Torque ◽  
Gear Rattle

Numerical simulation of instability conditions in multiple pinion drives

2011 ◽  
Vol 225 (6) ◽  
pp. 1319-1327 ◽  
Author(s):  
K-Z Zhang ◽  
H-D Yu ◽  
X-X Zeng ◽  
X-M Lai
Keyword(s):  
Parametric Instability ◽  
Industrial Applications ◽  
Lyapunov Theory ◽  
Gear Train ◽  
Heavy Duty ◽  
Mesh Stiffness ◽  
Torque Transmission ◽  
Stiffness Variation ◽  
Parametric Instabilities ◽  
Mesh Phasing

Multiple pinion drives, parallel arrangements of the pinions for large torque transmission, are widely utilized in various heavy-duty industrial applications. For such multi-mesh gear systems, periodic mesh stiffnesses could possibly cause parametric instabilities and server vibrations. Based on the Floquet–Lyapunov theory, numerical simulations are conducted to determine the parametric instability status. For rectangular waveforms assumption of the mesh stiffness variations, the primary, secondary, and combination instabilities of the multiple pinion drives are studied. The effects of mesh stiffness parameters, including mesh frequencies, stiffness variation amplitudes, and mesh phasing, on these instabilities are yielded. Unstable regions are also indicated for different gear pair configurations. Instability conditions of three-pinion drives are obtained and compared with those of the three-stage gear train.

Mesh Stiffness Variation Instabilities in Two-Stage Gear Systems

2001 ◽  
Author(s):  
Jian Lin ◽  
Robert G. Parker
Keyword(s):  
Numerical Solutions ◽  
Parametric Instability ◽  
Operating Conditions ◽  
Mesh Stiffness ◽  
Two Stage ◽  
Instability Regions ◽  
Stiffness Variation ◽  
Parametric Instabilities ◽  
Gear Systems ◽  
Mesh Phasing

Abstract Mesh stiffness variation, the change in stiffness of meshing teeth as the number of teeth in contact changes, causes parametric instabilities and severe vibration in gear systems. The operating conditions leading to parametric instability are investigated for two-stage gear chains, including idler gear and countershaft configurations. Interactions between the stiffness variations at the two meshes are examined. Primary, secondary, and combination instabilities are studied. The effects of mesh stiffness parameters, including stiffness variation amplitudes, mesh frequencies, contact ratios, and mesh phasing, on these instabilities are analytically identified. For mesh stiffness variation with rectangular waveforms, simple design formulae are derived to control the instability regions by adjusting the contact ratios and mesh phasing. The analytical results are compared to numerical solutions.

An Analytical Investigation of Rattle Characteristics of Powder Metal Gears

2019 ◽  
Author(s):  
Elizabeth Slavkovsky ◽  
Murat Inalpolat ◽  
Anders Flodin
Keyword(s):  
Transmission Error ◽  
Analytical Investigation ◽  
Time Varying ◽  
Evaluation Tool ◽  
Mesh Stiffness ◽  
Gear Design ◽  
Gear Mesh ◽  
Internal Excitation ◽  
Gear Mesh Stiffness ◽  
Gear Rattle

Abstract This study employs an analytical model of a gear pair with transverse-torsional dynamics that allows analysis of single-sided, double-sided, and random rattle situations to contrast rattle characteristics of isotropic PM gears with a baseline steel gearset. This model utilizes time-varying gear mesh stiffness and transmission error as the internal excitation sources and time-varying operating torque as an external excitation. The gear rattle performance of PM gears is investigated under different torque conditions and operating speeds. The system kinetic and potential energy is assessed as an evaluation tool that can indicate the severity of different rattle conditions. The dynamic response of two different versions of an existing PM gear design are compared with a baseline traditional steel gear.

Numerical Analysis of Multi-step Helical Gear Rattle Considering Tooth Profile Error, Real Meshing, and Stiffness Variation

2016 ◽  
Vol 2016 (0) ◽  
pp. G1000704
Author(s):  
Tatsuya KAWASAKI ◽  
Yutaka YOSHITAKE ◽  
Shintarou SOBU ◽  
Hideaki NAKAYAMA ◽  
Hayato FURUKAWA ◽  
...  
Keyword(s):  
Numerical Analysis ◽  
Helical Gear ◽  
Tooth Profile ◽  
Profile Error ◽  
Stiffness Variation ◽  
Gear Rattle

Mesh Stiffness Variation Instabilities in Two-Stage Gear Systems

2001 ◽  
Vol 124 (1) ◽  
pp. 68-76 ◽  
Author(s):  
Jian Lin ◽  
Robert G. Parker
Keyword(s):  
Numerical Solutions ◽  
Parametric Instability ◽  
Operating Conditions ◽  
Mesh Stiffness ◽  
Two Stage ◽  
Instability Regions ◽  
Stiffness Variation ◽  
Parametric Instabilities ◽  
Gear Systems ◽  
Mesh Phasing

Mesh stiffness variation, the change in stiffness of meshing teeth as the number of teeth in contact changes, causes parametric instabilities and severe vibration in gear systems. The operating conditions leading to parametric instability are investigated for two-stage gear chains, including idler gear and countershaft configurations. Interactions between the stiffness variations at the two meshes are examined. Primary, secondary, and combination instabilities are studied. The effects of mesh stiffness parameters, including stiffness variation amplitudes, mesh frequencies, contact ratios, and mesh phasing, on these instabilities are analytically identified. For mesh stiffness variation with rectangular waveforms, simple design formulas are derived to control the instability regions by adjusting the contact ratios and mesh phasing. The analytical results are compared to numerical solutions.

A parameterized numerical model for the evaluation of gear mesh stiffness variation of a helical gear pair

2008 ◽  
Vol 222 (7) ◽  
pp. 1321-1327 ◽  
Author(s):  
J Hedlund ◽  
A Lehtovaara
Keyword(s):  
Numerical Model ◽  
Transmission Error ◽  
Helical Gear ◽  
Hertzian Contact ◽  
Mesh Stiffness ◽  
Fe Method ◽  
Gear Design ◽  
Gear Mesh ◽  
Stiffness Variation ◽  
Gear Mesh Stiffness

One of the most common challenges in gear drive design is to determine the best combination of gear geometry parameters. These parameters should be capable of being varied effectively and related to gear mesh stiffness variation in advanced excitation and vibration analysis. Accurate prediction of gear mesh stiffness and transmission error requires an efficient numerical method. The parameterized numerical model was developed for the evaluation of excitation induced by mesh stiffness variation for helical gear design purposes. The model uses linear finite-element (FE) method to calculate tooth deflections, including tooth foundation flexibility. The model combines Hertzian contact analysis with structural analysis to avoid large FE meshes. Thus, mesh stiffness variation was obtained in the time and frequency domains, which gives flexibility if comparison is made with measured spectrums. Calculations showed that a fairly low number of elements suffice for the estimation of mesh stiffness variation. A reasonable compromise was achieved between design trends and calculation time.

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