Research on the Method of Continuous Scanning Measurement on the Tooth Surface of the Spiral Bevel Gear Based on the Constant Measuring Force

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Abstract:

In the measurement process of the large, complex surface, due to the errors of the installation, the errors of the machine bed itself and other factors, the probe can be over pressed. The situation of measuring interruption can be occurred. In the paper, take the measurement of the spiral bevel gear for example, by using of the gear meshing theory and differential geometry, through a series of coordinate transformations, the coordinates of the tooth surface grid nodes are calculated. Through measuring the tooth surface of the spiral bevel gear by using of Gear Measuring Center(GMC) and 3D scanning probe system, the follow-up control strategy of continuous scanning measurement based on the constant measuring force was proposed. The measurement and evaluation of the tooth surface were achieved through continuous scanning motion along the measurement path planned. In the measurement process, the measurement path was planned according to the theoretical models. The offset values of the probe were real-time detected, the constant deformation of the probe was ensured through controlling the motion of X,Y,Z axes. The mathematical model of the relationship between the velocity of each axis and the deformation vector of the probe was established. The continuous scanning measurement along the path planned based on the constant measuring force can be implemented. The requirement of the steady-state errors and real-time were meted by using of PID control strategy of subsection variable parameters. The method was finally simulated and experimented. The results showed that the occurrence of unexpected interruption in the measuring process can be effectively solved. It plays an important role for the highly-efficient and highly-precise measurements of the tooth surface.

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Periodical:

Advanced Materials Research (Volumes 468-471)

Pages:

1532-1540

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Online since:

February 2012

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[1] Faydor L.Litvin: Gear Geometry and Applied Theory[M].New Jersey:Prentice Hall,1994, pp.613-715.

Google Scholar

[2] X.T.Wu: The Gear Meshing Theory[M], China Machine Press, 1982: pp.354-365.(In Chinese).

Google Scholar

[3] Faydor L.Litvin Y.J. Zhang and Kieffe: Identification and Minimization of Deviation of Real Gear Tooth Surfacd[J].Journal of Mechanical Design,ASME,1991,113(1)pp.55-62.

Google Scholar

[4] Y.L. Xiong: Mathematical Method of Precision Measurement[M], China Metrology Publishing House, 1989:pp.212-234. (In Chinese).

Google Scholar

[5] T.C. Zhang: 500 Questions in Gear Measurement, Standards Press of China, 2007:pp.123-132. (In Chinese).

Google Scholar

[6] J.Zhang, L.Wei, Z.X.Ma, Y.Zhou and F.Geng: Research on Follow-up Control Method for Gear Measurement[J], Tool Engineering, 2010. (In Chinese).

Google Scholar

[7] H.L.Du and Y.Yuan: Design of Compensating Algorithm for High-accuracy Position Follow-up Control System[J], Mechanical Engineering & Automation, 2011. (In Chinese).

Google Scholar

[8] Y.Liu, K.Zhang, Y.J.Li: Modeling and Simulation Research of Control System of A Random Position, Journal of Projectiles[J], Rockets. Missiles and Guidance. 2005. (In Chinese).

Google Scholar