CamToSphere1
3D• CamToSphere1[cnum, locuspoint, {alpha, guess}, {beta, guess}, point, radius] models a cam surface with a spherical follower.
• The locus of locuspoint defines the cam surface as a function of the symbols alpha and beta (locuspoint must be defined as a function of alpha and beta).
• CamToSphere1 enforces that the surface of the spatial cam profile lies in tangent contact with a sphere of specified radius centered at point.
• CamToSphere1 constrains one degree of freedom. • CamToSphere1 generates three constraint equations and introduces two new variables, alpha and beta, hence constraining one degree of freedom.
• A vector that is normal to the cam profile at the point of contact, and has length equal to radius, is set equal to the vector from the point of contact to the center of the spherical follower; yielding three linked constraint equations.
• See also: CamToCircle1, SetConstraints, SysCon.
|
