S. Djerassi, DETERMINATION OF NONCONTRIBUTING FORCES AND NONCONTRIBUTING IMPULSES IN 3-PHASE MOTIONS, Journal of applied mechanics, 64(3), 1997, pp. 582-589
Numerous dynamical systems undergo, while in motion, imposition and/or
removal of constraints. Three phases of motion are involved: a phase
during which the motion is defined as unconstrained, a phase during wh
ich the motion is defined as constrained, and an intermediate, transit
ion phase, when constraints are imposed or removed. Noncontributing fo
rces (sometimes called nonworking, reaction forces), and noncontributi
ng impulses, namely, impulses associated with noncontributing forces i
n the transition phase, play a central role in the mechanics of system
s undergoing such motions, and are the subject matter of the present p
aper. Specifically, a six-step procedure is introduced for the determi
nation of noncontributing forces and of noncontributing impulses throu
ghout three phase motions.