An unanchored temporary structure has five modes of response to base e
xcitation: rest, slide, rock, slide-rock, and free-flight. This paper
is concerned with the conditions under which an unanchored object will
respond in these modes and, in a rock mode, the maximum amount of til
ting and the probability of toppling. The conditions for the we modes
of response are derived based on equations of equilibrium and of motio
n. The rocking response and toppling probability are obtained by the M
onte Carlo simulation technique by solving the equations governing roc
king response numerically and repeatedly using simulated base motion.
Details of the derivation and computation are not presented. Toppling
probabilities are given graphically for a number of values specifying
dimension of the object. (C) 1998 Elsevier Science S.A. All rights res
erved.