Analytical characterization of damping in gear teeth dynamics under hydrodynamic conditions

F. H. Liu; S. Theodossiades; L. A. Bergman; A. F. Vakakis; D. M. Mcfarland

doi:10.1016/j.mechmachtheory.2015.08.007

Analytical characterization of damping in gear teeth dynamics under hydrodynamic conditions

F. H. Liu, S. Theodossiades, L. A. Bergman, A. F. Vakakis, D. M. Mcfarland

Research output: Contribution to journal › Article › peer-review

Abstract

Using an analytical method, we characterize damping and stiffness in lightly loaded, lubricated gear pairs at different operating speeds and lubricant temperatures. This is accomplished by employing a trace method to approximate and model the hysteresis loop of the lubricant reaction, thus recording the energy transformation mechanism during the gear teeth oscillatory motion. The method can be expanded for use in a variety of problems where hydrodynamic vibro-impacts lead to energy dissipation.

Original language	English (US)
Article number	2545
Pages (from-to)	141-147
Number of pages	7
Journal	Mechanism and Machine Theory
Volume	94
DOIs	https://doi.org/10.1016/j.mechmachtheory.2015.08.007
State	Published - Dec 1 2015

Keywords

Damping
Gear teeth dynamics
Hydrodynamic lubrication
Hysteresis
Trace method

ASJC Scopus subject areas

Bioengineering
Mechanics of Materials
Mechanical Engineering
Computer Science Applications

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10.1016/j.mechmachtheory.2015.08.007

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title = "Analytical characterization of damping in gear teeth dynamics under hydrodynamic conditions",

abstract = "Using an analytical method, we characterize damping and stiffness in lightly loaded, lubricated gear pairs at different operating speeds and lubricant temperatures. This is accomplished by employing a trace method to approximate and model the hysteresis loop of the lubricant reaction, thus recording the energy transformation mechanism during the gear teeth oscillatory motion. The method can be expanded for use in a variety of problems where hydrodynamic vibro-impacts lead to energy dissipation.",

keywords = "Damping, Gear teeth dynamics, Hydrodynamic lubrication, Hysteresis, Trace method",

author = "Liu, {F. H.} and S. Theodossiades and Bergman, {L. A.} and Vakakis, {A. F.} and Mcfarland, {D. M.}",

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T1 - Analytical characterization of damping in gear teeth dynamics under hydrodynamic conditions

AU - Liu, F. H.

AU - Theodossiades, S.

AU - Bergman, L. A.

AU - Vakakis, A. F.

AU - Mcfarland, D. M.

PY - 2015/12/1

Y1 - 2015/12/1

N2 - Using an analytical method, we characterize damping and stiffness in lightly loaded, lubricated gear pairs at different operating speeds and lubricant temperatures. This is accomplished by employing a trace method to approximate and model the hysteresis loop of the lubricant reaction, thus recording the energy transformation mechanism during the gear teeth oscillatory motion. The method can be expanded for use in a variety of problems where hydrodynamic vibro-impacts lead to energy dissipation.

AB - Using an analytical method, we characterize damping and stiffness in lightly loaded, lubricated gear pairs at different operating speeds and lubricant temperatures. This is accomplished by employing a trace method to approximate and model the hysteresis loop of the lubricant reaction, thus recording the energy transformation mechanism during the gear teeth oscillatory motion. The method can be expanded for use in a variety of problems where hydrodynamic vibro-impacts lead to energy dissipation.

KW - Damping

KW - Gear teeth dynamics

KW - Hydrodynamic lubrication

KW - Hysteresis

KW - Trace method

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SP - 141

EP - 147

JO - Mechanism and Machine Theory

JF - Mechanism and Machine Theory

M1 - 2545

ER -

Analytical characterization of damping in gear teeth dynamics under hydrodynamic conditions

Abstract

Keywords

ASJC Scopus subject areas

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