Pin Gears Motion Analysis And Simulation

Abstract

Gears used in industry In this paper we discussed the pin gears motion analysis with numerical methods Suppose that the contact conditions of pin gears we found the ordinary differential equations by partial derivative and inner product Then we make a easy example to show what we did Suppose the initial position vector and curvature of the driving wheel Then there is a driven wheel which smoothly rotated with driving wheel When calculating the ordinary differential equations I calculated the real value in advance When the problem is more complicated the calculation will take a lot of time We calculated the approximation by Euler’s method After I calculated the value of all nodes by Visual C++ I drew the nodes by Matlab I simulated the contact conditions of the gears including angular velocity ratio and the relation between the driving wheel and the driven wheel The more space numbers I decided the better the estimates were The space numbers were 10 times of the previous one; then the errors were 0 1 times of the previous one The error was the linear function Then I could get the better estimate Besides the Euler’s method we also used Runge-Katta method to simulate the ordinary differential equations In this method we can estimate the numerical solutions which closed to the real values The better numerical solutions will facilitate the rotation of the pin gears

Date of Award	2019
Original language	English
Supervisor	Shih-Yu Shen (Supervisor)