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Vibration-Based Health Monitoring of Multiple-Stage Gear Train and Differential Planetary Transmission Involving Teeth Damage and Backlash Nonlinearity

Abstract

dc:description.abstract

<p>The objective of this thesis is to develop vibration-based fault detection strategies for on-line condition monitoring of gear transmission systems. The study divides the thesis into three sections. First of all, the local stresses created by a root fatigue crack on a pinion spur gear are analyzed using a quasi-static finite element model and non-linear contact mechanics simulation. Backlash between gear teeth which is essential to provide better lubrication on tooth surfaces and to eliminate interference is included as a defect and a necessary part of transmission design. The second section is dedicated to fixed axis power trains. Torsional vibration is shown to cause teeth separation and double-sided impacts in unloaded and lightly loaded gearing drives. The transient and steady-state dynamic loading on teeth within a two stage crank-slider mechanism arising from backlash and geometric manufacturing errors is investigated by utilizing a non-linear multi-body dynamics software model. The multi-body model drastically reduces the computation time required by finite element methods to simulate realistic operation. The gears are considered rigid with elastic contact surfaces defined by a penalty based non-linear contact formulation. The third section examines a practical differential planetary transmission which combines two inputs and one output. Planetary gears with only backlash errors are compared to those containing both backlash and tooth defects under different kinematic and loading conditions. Fast Fourier Transform (FFT) analysis shows the appearance of side band modulations and harmonics of the gear mesh frequency. A joint time-frequency analysis (JTFA) during start-up reveals the unique vibration patterns for fixed axis gear train and differential planetary gear, respectively, when the contact forces increase during acceleration.</p>

Degree

thesis:*
Name thesis:degree_name
MS in Mechanical Engineering
Discipline thesis:degree_discipline
Mechanical Engineering
Year dc:date.available
2011

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Sommer, Andrew Patrick
Contributors dc:contributor
  • Xi Wu

Subjects

dc:subject × 15

Identifiers

dc:identifier.*
OAI identifier oai:identifier
oai:digitalcommons.calpoly.edu:theses-1668

Chain of custody

source
Harvested from
Cal Poly
Base URL
digitalcommons.calpoly.edu/do/oai/
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
citation

Sommer, Andrew Patrick. Vibration-Based Health Monitoring of Multiple-Stage Gear Train and Differential Planetary Transmission Involving Teeth Damage and Backlash Nonlinearity. 2011. https://digitalcommons.calpoly.edu/theses/631