# Exact Constraint: Machine Design Using Kinematic Principles

Editor
D. Blanding
D. Blanding
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ISBN-10:
0791800857
No. of Pages:
184
Publisher:
ASME Press
Publication date:
1999

The 2D models of Chapter 1 introduced many important concepts. However, we must now step away from this simplification and consider the whole three-dimensional situation. In this chapter, we analyze connections between objects in 3D. Of course, it is well known that a free body has six degrees of freedom: three independent translational degrees of freedom (often referred to as X, Y, and Z) and three independent rotational degrees of freedom (often referred to as θx, θy, and θz).

3.1 3D Model of the 2D Case: Constraint Diagram
3.2 Relationship between Rs and Cs
3.3T Equivalent to R at Infinity
3.4 Intersecting Pair of Rs: Disk of Radial Lines
3.5 Two Parallel Rs: A Plane of Parallel Lines
3.6 Redundant Lines: Overconstraint and Underconstraint
3.7 Compound Connections
3.8 Vector Addition of Coupled Rs
3.9 Helical Degree of Freedom (Screw)
3.10 The Cylindroid
3.11 Example
3.12 Summary: Symmetry of Rs and Cs
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