Iterative computation for measurement over pins of gears

• We present four algorithms for computing the dimension of over pins in gear design.
• We examine calculation efficiency and accuracy using MATLAB.
• Newton’s method and Secant method are better approaches for measurement over pins.
• We compare the results by Newton’s method and Secant method with CAD computation.

Measurement over pins is an effective way to gauge and control the quality for the manufacture of gears. However, the conventional calculation process for the dimension of over pins is not convenient and accurate enough to meet the requirement of current engineering design. In this paper, with the help of MATLAB, different algorithms are compared and presented. It is found that the matrix method is not accurate and the computer system is easy to crash. The convergence speed of Bisection method is slow and precision level is not accurate enough. The Newton’s method and Secant method are better approaches for the reverse computation of involute function. Compared with the conventional calculation method and the simulation of SOLIDWORKS, it is confirmed that the Newton’s method and Secant method are correct. All in all, the methods proposed in this paper enhance the efficiency and accuracy level for the calculation of gear system.