Distance Joint Theory
The Distance Joint maintains a specified distance between two points that are connected to a pair of attachments or rigid domains. As a default, the initial distance is maintained, so that the joint can be considered as a rigid link with ball joints at both ends. It is also possible to vary the distance so that the joint acts as a telescopic link.
The following is an addition to the Prismatic Joint Theory, some of which is also applicable for the distance joint.
Distance Joint Formulation
The formulation of the distance joint differs completely from the formulation of the other joint types. Only a constraint is applied to maintain the distance between the specified points on both selected components. This distance constraint can be written as:
Here Xsrc and Xdst are the undeformed locations of the two connection points, and usrc and udst are the corresponding displacements. It is possible to vary the distance between the points through the extension value Δ.
This constraint can be simplified and is used in the following form: