1. By Cheddi Charles and Amber LeCroy Mentor: Dr. Guy Bernard Suggested by Dr. Salim Azzouz

2. A Continuously Variable Transmission A CVT (continuously variable transmission) gives a constant RPM from a variable RPM. No geared CVT currently.

3. Parametric Equations Parametric Equations for surfaces Parametric Equations for curves on these surfaces

4. Simple Cone

5. Archimedean Spiral Surface

6. Logarithmic Spiral Surface

7. Project Direction Place curves on a simple cone to simulate gear teeth. Constant distance between curves Constant curve angle

8. Helixes based on the cone radius {

9. Simple Cone with Helixes based on the radius Viewm = 0.5m = 2 Angle Side

10. Helixes based on the cone length {

11. Recommended Surface

12. Cone with Helixes based on the length This program placed ten curves at a distance of d = 0.5 units apart along the length of the surface. This program placed fifty curves at a distance of d = 0.1 units apart along the length of the surface.

13. New Shapes Calculate equations that keep the angle of a helix constant. Trace new surface in MATLAB. Look a distance between curves.

14. Constant Angle Helixes Side view of acorn shaped surface. It has one constant angle helix curve placed upon it. This is an angle view of the same surface. The single helix makes several turnings before reaching the end of the surface.

15. Future Research Explore other parametric equations that will trace different surface shapes. Simulate other types of gear teeth in the current MATLAB programs.