Mathematical models used in gear dynamics—A review

Journal of Sound and Vibration

Volumn 121, Issue 3, 1988, Pages 383-411

  Nevzat Ozguven H ^a   Houser, D R ^a  

^a OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICS - MATHEMATICAL MODELS;

DYNAMIC MODELS; GEAR DYNAMICS;

GEARS;

EID: 0023981561     PISSN: 0022460x     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-460X(88)80365-1     Document Type: Review

References (188)

1. Factors in calculating the load-carrying capacity of helical gears
2. Strength of gear teeth
3. Effect of inaccuracies on strength of gears
4. High speed gears
5. Gear tooth stresses at high speed
6. Dynamic loads on gear teeth
7. Dynamic load on gear teeth
8. Dynamic loads on spur and helical gear teeth
9. Zahnradschwingungen
10. Dynamische Zusatzkrafter in Zahnbradgetrieben
11. Evaluation of dynamic factors for spur and helical gears
12. Investigation of dynamic factors in spur and helical gears
13. An analysis of factors used for strength rating helical gears
14. Dynamic loads on gear teeth, design applications
15. Gear design: dynamic loads
16. Proposed application factors for industrial and high speed gearing
17. An up-do-date look at marine gear tooth loading
18. Vibrations in gear drives; test results and calculation method for dynamic tooth forces
19. On analytical evaluation of gear dynamic factors based on rigid body dynamics
20. The dynamic loads on gears caused by the varying elasticity of the mating teeth of spur gears
21. Dynamic loads on the teeth of spur gears
22. Excitation of resonant vibrations by gear tooth meshing effects
23. The mechanism and measurement of dynamic loading in spur gears
24. Sources of vibration excitation in spur gears
25. Dynamic load on spur gear teeth
26. Dynamic loads on spur gear teeth at high speed (influence of the pressure angle errors and comparison between the reduction gear and the speed-up gears)
27. Dynamic loads on spur gear teeth having pitch errors at high speed
28. Dynamic loads on spur gear teeth
29. Dynamic loads on the teeth of spur gears
30. Torsional motion of a pair of spur gears
31. Zahnkrafte und Schwingungen in Stirnradgetrieben
32. Das dynamische Verhalten von Stirnradgetrieben unter besonderer Berucksichtigung der Verzaqhnungsgenauigkeit
33. Das dynamische Verhalten von Stirradgetrieben unter besonderer Berucksichtigung der Verzahnungsgenauigkeit (II)
34. Fundamental research on gear noise and vibration
35. Fundamental research on gear noise and vibration, II
36. Properties of gear noise and its generating mechanism
37. Dynamic behaviour of spur and helical gears
38. Tooth separations and abnormal noise on power-transmission gears
39. Instability potential of high speed gearing
40. Dynamic measurement of the transmission error in gears
41. Computer simulation of dynamic stress, deformation and fracture of gear teeth
42. Dynamic loads on spur gear teeth caused by teeth impact
43. Dynamic behavior of heavy-loaded spur gears
44. Dynamic tooth loads and stressing for high contact ratio spur gears
45. Static and dynamic load, stress, and deflection cycles in spur-gear systems
46. An investigation of dynamic loads in spur-gear teeth
47. Stress condition, vibrational exciting force, and contact pattern of helical gears with manufacturing and alignment errors
48. Gear mesh excitation spectra for arbitrary tooth spacing errors, load, and design contact ratio
49. Simulation of resonances and instability conditions in pinion-gear systems
50. Study on pitch circle impulse noise of gear
51. Effect of tooth surface roughness on gear noise and gear noise transmitting path
52. A numerical solution to the dynamic load, film thickness and surface temperature of spur gears: Part 1 Analysis
53. A numerical-solution to the dynamic load, film thickness, and surface temperatures in spur gears, Part 2, results
54. A computer code for performance of spur gears
55. A new formulation of spur-gear vibration
56. The kinetics of the contact point and oscillatory mechanisms in resilient spur gears
57. Transfer function method for gear system dynamics applied to conventional and minimum excitation gearing designs
58. Analysis of the vibratory excitation of gear systems: basic theory
59. Analysis of the vibratory excitations of gear systems. II: Tooth error representations, approximations, and applications
60. Estimating dynamic loads on gear teeth
61. Dynamic analysis of straight and involute tooth forms
62. Dynamic response of gear teeth
63. Application of finite elements to the analysis of gear tooth stresses
64. An evaluation of stresses and deflection of spur gear teeth under strain
65. Dynamic stress analysis of a spur gear tooth
66. Effects of moving speeds of dynamic loads on the deflections of gear teeth
67. Simulation on rotational vibration of spur gears
68. Influence of gear errors on rotational vibration of power transmission spur gears, I. Pressure angle error and normal pitch error
69. Influence of gear error on rotational vibration of power transmission spur gear (2nd report—waved form error)
70. Vibration of power transmission helical gears (approximate equations of tooth stiffness)
71. Approximate solution of a gear system subjected to random excitation
72. Prediction method of gear noise considering the influence of the tooth flank finishing method
73. Predicted effect of dynamic load on pitting fatigue life for low-contact ratio spur gears
74. Hertzian damping, tooth friction and bending elasticity in gear impact dynamics
75. A rotary model for spur gear dynamics
76. Modes and frequencies of shafts coupled by straight spur gears
77. The mechanical impedance approach to the dynamics (torsional vibrations) of geared systems
78. Dynamic behavior of helical gears
79. Dynamics and noise of parallel axis gearing
80. The dynamics of gear pair systems
81. Dynamic loads on spur gear teeth by analog computation
82. An analytical and experimental study of dynamic loads on spur gear teeth
83. Torsional response of a gear train system
84. Analysis of non-linear transient motion of a geared torsional
85. Fundamental research on gear noise and vibration (6th report, generation mechanism of radial and axial vibration of spur gears)
86. Real time simulation of gearboxes
87. Simulation of noise from gears when varying design and manufacturing parameters
88. The dynamics of a layshaft gearbox
89. Gearbox dynamics—modelling of a spiral bevel gearbox
90. Statistical analysis of dynamic loads on spur gear teeth (effect on shaft stiffness)
91. Statistical analysis of dynamic loads on spur gear teeth
92. An experimental and theoretical study of the effects of simulated pitch line pitting on the vibration of a geared system
93. Digital simulation of impact phenomenon in spur gear systems
94. Dynamic stability of a two-stage gear train under the influence of variable meshing stiffnesses
95. Factors influencing instability and resonances in geared systems
96. Vibration of helical gears 1—theoretical analysis
97. Analysis of vibration of bevel gears
98. Effect of gear errors on non-linear vibrations of a gear train system
99. Dynamic behavior of a mechanical systems with gear transmission error
100. Gear impact noise in diesel drives
101. Influence of torsional vibrations of a gear train system on tooth load
102. Vibration excitation of cylindrical involute gears due to tooth form error
103. Vibration spectra from gear drives
104. Theoretical and experimental analysis of rattling noise of automotive gearbox
105. Power transmission between teenth at small loads
106. A study on the dynamics of geared system-estimation of overload on gears in system
107. An extended model for determining dynamic loads in spur gearing
108. A method for static and dynamic load analysis of standard and modified spur gears
109. Dynamic loads in normal and high contact ratio spur gearing
110. Dynamic load factors in internal spur gear drives
111. Causes and effect of torque change in hammering of toothed gears
112. Dynamische Analyse eines Antriebes mit Zahnspiel
113. On the spur-gear dynamic tooth-load under consideration of system elasticity and tooth involute profile
114. Dynamic loads in gear teeth
115. Dynamic behaviour of high speech gears
116. On dynamic tooth load and stability of a spur-gear system using the state-space approach
117. Vibrational characteristics of friction between gear teeth
118. Research on idling rattle of manual transmission
119. Minimizing gear noise excitation
120. Reducing gear noise excitation
121. Noise and vibration of a thin helical gear
122. Dynamic behavior of thin-rimmed helical gears with various web arrangements, I
123. Dynamic behavior of thin-rimmed spur gears with various web arrangements
124. Dynamic loading on parallel shaft gears
125. Whirling of shafts in geared systems
126. Torsional-lateral coupling in a geared high-speed rotor system
127. Critical speeds, stability and response of a geared train of rotors
128. Whirl of geared systems supported on hydrodynamic bearings
129. Simulation of whirl interaction in pinion-gear systems supported on oil film bearings
130. An analytical investigation of three dimensional vibration in gear-coupled rotor systems
131. A basic approach to gearbox noise prediction
132. Proposed solution methodology for the dynamically coupled nonlinear geared rotor mechanics equation
133. Analytical investigation of dynamic coupling in nonlinear geared rotor systems
134. Dynamic coupling in geared rotor systems
135. An analytical study and computer analysis of three-dimensional steady state vibration of multishaft geared-rotor systems
136. On the damped coupled torsional and flexural vibrations of gear-controlled parallel shafts
137. Coupled torsional-flexural vibration of a shaft in a geared system of rotors (1st report)
138. Coupled torsional-flexural vibration of a shaft in a geared system
139. Coupled dynamic characteristics of a counter shaft in a gear train system
140. Dynamic characteristics of a gear train system with softly supported shafts
141. Forced vibration of a pinion-gear system supported on journal bearings
142. Coupled lateral-torsional vibration of rotor system trained by gears (1. Analysis by transfer-matrix method)
143. The coupled lateral torsional vibration of a geared rotor system
144. Vibration of a geared train of rotors with torsional-flexural coupling
145. Coupled torsional-flexural vibration of a geared shaft system using finite element analysis
146. Effect of coupled torsional-flexural vibration of a geared shaft system on the dynamic tooth load
147. Coupled vibration of geared systems
148. Analysis of torsional vibration of an automotive gearbox
149. On the torsional vibration of branched systems using extended transfer matrix method
150. Gear-excited torsional vibrations of machine drive systems
151. Drive train vibrations
152. Dynamic loading of gear teeth
153. Dynamic behavior of gear systems and variation of coefficient of friction and efficiency during the engagement cycle
154. The simulations of the gear vibrations based on the actual transmission errors and the tooth frictions
155. Rotational vibration with backlash: Part 1
156. Rotational vibration with backlash: Part 2
157. On derivation of Hertzian impact formula in the geared rotational systems
158. The effect of bearing clearances on the dynamic response in gearing
159. On the dynamic gear tooth loading as affected by bearing clearances in high speed machinery
160. Dynamic loads on gear teeth from transient shock
161. Dynamics of torsional driving systems of heavy mills
162. The effects of dynamic loads on the gearing of a rolling mill drive
163. Compilation and compression of mathematical model for a machine transmission
164. Analysis of noise generated by UH-1 helicopter transmission
165. Program for helicopter gearbox noise prediction and reduction
166. Gearbox noise reduction: prediction and measurement of mesh-frequency vibrations within an operating helicopter rotor-drive gearbox
167. Helicopter transmission vibration and noise reduction program
168. Transmission design with finite element analysis: Part 1, 2, 3 and 4
169. Model 301 HLH/ATC transmission noise reduction program
170. Helicopter transmission vibration and noise reduction program
171. Development and evaluation of a method for predicting the vibration and noise characteristics of helicopter transmissions
172. An analytical approach to the source of noise and vibration in highly loaded mechanical power-transmission systems
173. Dynamic gear forces in gear units with alternating output torques
174. Simulation of dual drive branched gear systems during selective engagement of the prime movers
175. The dynamic investigation of the multi-degree gear transmission model with variable stiffness coefficient
176. Rasselschwingungen in PKW-Getrieben
177. Torsional and flexural vibrations in drive systems: A computer simulation
178. State-of-the-art review: gear dynamics
179. Fundamental knowledge of gear noise—a survey
180. Gear noise sources and their prediction using mathematical models