Laser Holographic Measurement of Tooth Flank Form of Cylindrical Involute Gear: Part 1 — Principle and Measurement of Spur Gear

1992 ◽  
Author(s):  
A. Kubo ◽  
H. Fujio ◽  
S. Tochimoto ◽  
T. Honda ◽  
S. Saitoh ◽  
...  
Keyword(s):  
Interference Fringe ◽  
Incident Angle ◽  
Gear Tooth ◽  
Measuring Method ◽  
Spur Gear ◽  
Phase Stepping ◽  
Phase Stepping Method ◽  
Tooth Flank ◽  
Form Deviation ◽  
Holographic Measurement

Abstract Form deviation of tooth flank of spur gear is measured by laser holographic interferometer. To get the reflected ray from the objective tooth flank, laser beam is irradiated with large incident angle to the objective tooth flank which has considerably rough surface finish in comparison with that of optical parts. Some tooth flanks with various kinds of form deviation were measured, and image patterns of interference fringe were obtained. The conversion of the coordinates of the image figure of the gear tooth flank on CRT to the coordinate system of the gear is worked out by fitting the contour form of simulated figure to that of observed images. The algorithm of transformation from interference fringe pattern to tooth flank form deviation is shown: The brightness of the interference fringe image on the CRT is converted to the amplitude of form deviation defined on the plane of action of the gear via phase difference of light beam which is obtained by phase stepping method. The form deviations of tooth flanks of spur gear obtained by this interference method were compared with the results of conventional measuring method using contacting stylus.

Laser Holographic Measurement of Tooth Flank Form of Cylindrical Involute Gear

1994 ◽  
Vol 116 (3) ◽  
pp. 721-729 ◽  
Author(s):  
H. Fujio ◽  
A. Kubo ◽  
S. Saitoh ◽  
M. Suzuki ◽  
S. Tochimoto ◽  
...  
Keyword(s):  
Laser Beam ◽  
Incident Angle ◽  
Measuring Method ◽  
Helical Gears ◽  
Phase Stepping ◽  
Interference Fringes ◽  
Phase Stepping Method ◽  
Tooth Flank ◽  
Form Deviation ◽  
Holographic Measurement

The form deviations of tooth flanks of spur and helical gears obtained by using a laser holographic interferometer are compared with the results of the conventional measuring method using a contacting stylus. The objective tooth flank which has a rough finish compared with optical parts is irradiated with a laser beam in a large incident angle to obtain the reflected ray from it. Image patterns of the interference fringes for tooth flanks with various types of form deviation are obtained, and they are transformed to the form deviations from the target tooth flank form. The algorithm of this transformation is shown: the brightness information of the image of the interference fringe on the CRT is converted to the amplitude of form deviation defined on the plane of action of the gear according to the phase difference of light beam by using the phase stepping method. A partial measuring procedure for helical gears is proposed which achieves the same level of accuracy as the conventional method using a stylus.

Laser Holographic Measurement of Tooth Flank Form of Cylindrical Involute Gear: Part 2 — For Helical Gear Tooth

1992 ◽  
Author(s):  
H. Fujio ◽  
A. Kubo ◽  
S. Tochimoto ◽  
H. Hanaki ◽  
S. Saitoh ◽  
...  
Keyword(s):  
Gear Tooth ◽  
Measuring Method ◽  
Helix Angle ◽  
Helical Gear ◽  
Helical Gears ◽  
Error Surface ◽  
Tooth Flank ◽  
Form Deviation ◽  
Laser Holography ◽  
Holographic Measurement

Abstract The interferometry using laser holography is applied to measure the form deviation of tooth flank of involute helical gears. One problem of this method is that the increase of helix angle reduces the region of the flank to which the laser beam can irradiate at a same time. To solve this problem, following method is developed: The objective tooth flank is divided into some regions, and the interferometry measurement is worked out for each region. The measured values for the form deviation of each region of the tooth flank are transformed to the values on the plane of action of this gear. These values for each region of the tooth flank are then concatenated successively until they result the curved surface for the form deviation of the whole tooth flank of the helical gear. The error surface of the tooth flank of helical gear obtained by this procedure is compared with that of conventional measuring method using contacting stylus.

Surface fitting of an involute spur gear tooth flank roughness measurement to its nominal shape

Measurement ◽  
2016 ◽  
Vol 91 ◽  
pp. 479-487 ◽  
Author(s):  
José A. Brandão ◽  
Jorge H.O. Seabra ◽  
Manuel J.D. Castro
Keyword(s):  
Gear Tooth ◽  
Spur Gear ◽  
Surface Fitting ◽  
Roughness Measurement ◽  
Tooth Flank

Fringe direction weighted autofocusing algorithm for gear tooth flank form deviation measurement based on interferogram

2021 ◽  
Author(s):  
Xian Wang ◽  
Matt Zhu ◽  
Ke Kou ◽  
Jianning Liu ◽  
Yun Liu ◽  
...  
Keyword(s):  
Gear Tooth ◽  
Deviation Measurement ◽  
Tooth Flank ◽  
Form Deviation

Laser Interferometric Measuring Method of Involute Artifact and Stabilization of Measurement

2011 ◽  
Vol 5 (2) ◽  
pp. 144-149
Author(s):  
Masaharu Komori ◽  
◽  
Fumi Takeoka ◽  
Aizoh Kubo ◽  
Hiroshige Fujio ◽  
...  
Keyword(s):  
Gear Tooth ◽  
Measuring Method ◽  
Tooth Profile ◽  
National Standard ◽  
Helical Gears ◽  
Involute Gears ◽  
Measuring Machine ◽  
Form Quality ◽  
Tooth Flank ◽  
Laser Interferometric

Vibration and noise are serious problems with involute spur and helical gears used, e.g., in drivetrains of vehicles such as automobiles. The gear tooth flank form of micrometer order markedly affects gear vibration and noise; therefore, the tooth flank form quality must be strictly controlled to maximize gear performance. Tooth profile measuring machines used in calibration for form error inspection of involute gears usually use an involute artifact, which itself must be calibrated highly accurately. However, it is typically difficult for current tooth profile measuring machine using contact stylus to calibrate the involute artifact with a high accuracy while satisfying traceability to a national standard. A highly precise and traceable measuring technology for the involute artifact is therefore required. The direct measurement of the involute artifact we propose uses a laser interferometer, whose measurement stability is confirmed in experiments measuring the detailed form of an involute tooth flank.

Effect of Involute Tip Relief on Dynamic Response of Spur Gear Pairs

1999 ◽  
Vol 121 (2) ◽  
pp. 313-315 ◽  
Author(s):  
A. Kahraman ◽  
G. W. Blankenship
Keyword(s):  
Dynamic Response ◽  
Experimental Test ◽  
Torsional Vibration ◽  
Gear Tooth ◽  
Transmission Error ◽  
Spur Gear ◽  
Forced Response ◽  
Gear Pair ◽  
Response Curves ◽  
Tooth Flank

The influence of gear tooth flank modifications in the form of linear involute tip relief on the torsional vibration behavior of a spur gear pair is investigated by using an experimental test stand. Measured dynamic transmission error (DTE) values are compared and a family of forced response curves is presented. Guidelines for the design of quiet spur gear sets are also given.

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