In the total absence of illustrations to clarify thecomponent-component matricies in 2008 Mates Help, I am suggestingthis table (which you may have to scroll down to see).
Your comments are welcome.
h1 {font-family: arial; color: blue; text-align:center}
h2 {font-family: arial; color: green}
hr {width: 80%}
Degrees of Freedom
| Mate | Geometry | Coordinate system | Freedoms | |||||
| Translation | Rotation | |||||||
| X | Y | Z | X | Y | Z | |||
| Fix | Absolute (top assembly) | 0 | 0 | 0 | 0 | 0 | 0 | |
| Lock | Relative (between components) | 0 | 0 | 0 | 0 | 0 | 0 | |
| Linear coupler | " | 0 | 0 | 0 | 1 | 1 | 1 | |
| Concentric | Point + Point | " | 0 | 0 | 0 | 1 | 1 | 1 |
| " | Point + Line | " | 1 | 0 | 0 | 1 | 1 | 1 |
| " | Line + Line | " | 1 | 0 | 0 | 1 | 0 | 0 |
| Angle | Line + Line1 | " | 1 | 1 | 0 | 1 | 0 | 0 |
| " | Line + Plane2 | " | 1 | 1 | 1 | 0 | 0 | 1 |
| " | Plane + Plane3 | " | 1 | 1 | 1 | 0 | 0 | 1 |
| Perpendicular | Line + Line | " | 1 | 1 | 1 | 0 | 1 | 0 |
| " | Line + Plane | " | 1 | 1 | 1 | 0 | 0 | 1 |
| " | Plane + Plane | " | 1 | 1 | 1 | 0 | 0 | 1 |
| Parallel | Line + Line | " | 1 | 1 | 1 | 1 | 0 | 0 |
| " | Line + Plane | " | 1 | 1 | 1 | 1 | 0 | 0 |
| " | Plane + Plane | " | 1 | 1 | 1 | 0 | 0 | 1 |
| Distance | Point + Point | " | 0 | 0 | 0 | 1 | 1 | 1 |
| " | Point + Curve | " | 1 | 0 | 0 | 1 | 1 | 1 |
| " | Point + Plane | " | 1 | 1 | 0 | 1 | 1 | 1 |
| " | Line + Line | " | 1 | 0 | 0 | 1 | 0 | 0 |
| " | Line + Plane | " | 1 | 1 | 0 | 1 | 0 | 0 |
| " | Plane + Plane | " | 1 | 1 | 0 | 0 | 0 | 1 |
| Coincident | Point + Point | " | 0 | 0 | 0 | 1 | 1 | 1 |
| " | Point + Curve | " | 1 | 0 | 0 | 1 | 1 | 1 |
| " | Point + Plane | " | 1 | 1 | 0 | 1 | 1 | 1 |
| " | Line + Line | " | 1 | 0 | 0 | 1 | 0 | 0 |
| " | Curve + Plane | " | 1 | 1 | 0 | 1 | 0 | 0 |
| " | Plane + Plane | " | 1 | 1 | 0 | 0 | 0 | 1 |
| Tangent | Locus on a Surface | " | 1 | 0 | 0 | 0 | 1 | 0 |
MY CONVENTIONS FOR GEOMETRY
Lines, arcs, splines and helices are specific cases of a curve.
Planes and features are specific cases of a surface.
Parallel and Perpendicular are specific cases of Angle.
Coincident is a specific case of distance.
Extrusions are mated at planar faces.
Tangency between solids is meaningful only in the context ofrolling contact (static contact is covered elsewhere) where thereis at least one rolling element and one locus on a raceway.
Relative X axis is along the curve.
Relative Y axis is normal to the curve.
Relative Z axis is normal to the surface.
Translation is straight or along the tangent to a curve or surface.
MY ASSUMPTIONS FOR MATING
Points, lines and planes are origins, centroids of revolution,corners, axes of revolution, edges, tangents and surfaces of 3Dcomponents.
Lines are infinitely long.
Arcs are closed.
Angles are true and do not change with viewpoint.
Distance is the shortest true distance and is measured normal tocurves and surfaces.
Concentric
All lines and points lie on a single relative axis.
Coincident
A point is touching a point, curve or surface.
A curve is touching, and oriented in conformance with, a curve orsurface.
A plane is touching, and indistinguishable from, a plane.
Angle
1) The lines must be coplanar.
2) The plane is the relative XY plane.
3) One of the planes is the relative XY plane.
Top
SolidworksAssemblies
