TABLE OF CONTENTS | Symbol | Unit | Meaning |
|---|---|---|
| 1. Coordinate Systems | ||
| 0, x,y, z | mm | orthogonal, right-handed body system |
| 0,x ?, y, z ? | mm | spatial system, arising from the transformation with the rotation matrix |
| 0,x ?, y ?, z ? | mm | Spatial system, arising from the transformation with the translation matrix |
| 0, r, ? r = a + tu | mm, degrees | system of polar coordinates in Boussinesq half space vectorial representation of a straight track |
| | location vector and its components | |
| | direction vector and its components | |
| Indices 1 | Body 1, driving unit | |
| Indices 2 | Body 2, driven unit or intermediate body | |
| Indices 3 | Body 3, driven unit for three bodies | |
| i = 1,2,3, n | sequential numbering | |
| 2. Angles | ||
| ? | degrees | pressure angle |
| ? | degrees | articulation angle |
| ? | degrees | skew angle of the track |
| ? | degrees | divergence of opening angle ( ? = 2 ?), offset angle |
| ? | degrees | tilt or inclination angle of the track (Stuber pledge angle) |
| | degrees | complementary angle to |
| ? | degrees | Hertzian auxiliary angle |
| cos ? | - | Hertzian coefficient |
| ? | degrees | angle of rotation through the joint body |
| ? | degrees | angle of intersection of the tracks |
| ? | degrees | angle of the straight generators r |
| 3. Rolling body data | ||
| A | mm 2 | Contact area |
| 2a | mm | major axis of contact ellipse |
| 2b | mm | minor axis of contact ellipse |
| 2c | mm | separation of cross axes of double Hooke's joints |
| c | mm | offset (displacement of generating centres) |
| d |
