| Summary: | 碩士 === 國立成功大學 === 數學系應用數學碩博士班 === 105 === As the rapid development of science and technology, harmonic gear is no longer expensive components. Benefit from this, harmonic gears are more widely used in various fields of science and technology than ever before, and for this reason, the study of harmonic gears becomes more valuable.
The previous study of the ordinary differential equation solved the contact point equation of the circular spline and the flex spline, used to determine the gear shape of the circular spline, which assumes that the and the flex spine contact in the center.In this paper. We cancel the hypothesis that the wave generator must be contact the center of the flex spline, but to calculate the exact contact point to replace this hypothesis. According to this change, we interest in how does the motion of the harmonic gear change. Follow the original ordinary differential equation, add the analytic method to solve the exact contact points, with this result to adjust the original ordinary differential equation. Moreover, we use Euler method and second order Runge-Kutta method to get numerical solution, which can express the changes more specifically.
After repeated verification, this change is indeed reliable. Harmonic gears are used in various fields, including precision technology, robots, and etc. In this fields, the precision of industrial manufacturing is getting higher and higher. One day, the error which is not too much must have a critical impact in a smaller scale.
|
|---|
