單齒腹齒輪檢測機之機台容許誤差設計

吳信暐

doi:10.6843/NTHU.2008.00297

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單齒腹齒輪檢測機之機台容許誤差設計

Design for Allowable Tolerance of a Single Flank Tester

吳信暐 , Masters　　Advisor：宋震國　　

繁體中文 DOI： 10.6843/NTHU.2008.00297

單齒腹；傳動誤差；容許誤差；齊次轉換矩陣；漸開線正齒輪； single flank tester ； transmission error ； allowable to tolerance ； homogeneous transformation matrix ； involute-type spur gear

Abstract │ Reference (17) │ Altmetrics

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Comparing with the previous researches, this study is dedicated to investigate the correlation between machine errors and transmission errors as the form errors of the gears are neglected.  Therefore, the error model of a single flank tester is first constructed and  a MATLAB based computer software is established  by associating methodology used in precision machine design  with gear meshing theory. By  analyzing the influence of machine errors on transmission errors of the gearset enables to designate allowable tolerances and predicts the function of transmission errors caused by machine errors.

The error model of a single flank tester represented by homogeneous transformation matrix is established to compute the relative position errors between the driving and driven axes of the tester and determine the profile functions of involute spur gearset for calculating transmission errors by gear meshing theory.

The simulation shows that the transmission-error-function is not affected significantly by the machine errors when the two axes are in parallel. However, the effect may increase when the parallelism errors grow. Accordingly, the parallelism errors of the axes should be minimized when the gearset is assembled.

Reference ( 17 ) 〈TOP〉

8. W. T. Lei, Y. Y. Hsu, 2002, “Accuracy test of five-axis CNC machine tool with 3D probe-ball,” International Journal of Machine Tool & Manufature, Vol. 42, pp. 1153-1162.
連結：
10. Y. Kakino, Y. Ihara, A. Shinohara, 1993,“Accuracy Inspection of NC Machine Tools by Double Ball Bar Method,”Edited by Dr. Johannes Heidenhain GmbH, Hanser/Gardner Publications, Inc., Cincinnati.
連結：
11. F. L. Litvin, D. Vecchiato, E. Gurovich, A. Fuentes, K. Hayasaka, I. Gonzalez-Perez, K. Yukishima, 2005, “Computerized Developments in Design, Generation, Simulation of Meshing, and Stress Analysis of Gear Drives,” Meccanica, Vol. 40(2005), pp. 291-324.
連結：
13. F. L. Litvin, G. I. Sheveleva, D. Vecchiato, I. Gonzalez-Perez, A. Fuentes, 2005, “Modified Approach for Tooth Contact Analysis of Gear Drives and Automatic Determination of Guess Values,” Computer Methods in Applied Mechanics and Engineering, Vol. 194(2005), pp. 2927-2946.
連結：
14. F. L. Litvin, I. Gonzalez-Perez, K. Yukishima, A. Fuentes, K. Hayasaka, 2007, “Design, Simulation of Meshing, and Contact Stresses for An Improved Worm Gear Drive,” Mechanism and Machine Theory, Vol. 42(2007), pp. 940-959.
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