W. Szyszkowski et K. Fielden, EFFECTS OF FLEXIBILITY AND DAMPING ON MOMENTUM-TRANSFER DURING LOCKING OF 2 MOVING LINKS, PART-I - NUMERICAL-SIMULATION, Journal of applied mechanics, 65(2), 1998, pp. 479-484
The system consisting of two links and two joints is examined. The joi
nts are idealy frictionless when unlocked. Due to flexibility of the l
inks, the locking generates some damped vibrations. It is demonstrated
that the presence of these vibrations, even of very small and seeming
ly neglegible amplitudes, have dramatic effects on the after-locking m
otion of the links. Depending on the level of flexibility and damping
involved, the locking triggers a large-scale ''slow'' motion that may
have either oscillatory or circular (clockwise or counterclockwise) ch
aracters. The links will stop at some resting configuration only at ce
rtain ''critical'' values of damping. The set of ''critical dampings''
seems to be infinite, though only two degrees-of-freedom are used to
model the system. Governing equations for these phenomena are derived
and discussed in Part II of this paper.