In order to obtain high luminosity and energy efficiency in future lin
ear colliders, it is desirable to accelerate a train of closely spaced
bunches on each rf pulse of the machine. There can be severe multibun
ch beam break-up in such a collider unless some means of strongly supp
ressing the transverse wakefield is incorporated into the design of th
e accelerating structures. Two methods of wakefield suppression will b
e discussed in this paper: (1) damping, i.e., lowering the external Q'
s of the unwanted higher-order modes induced by the beam in the cells
of the accelerating structures; and (2) detuning, i.e., varying the fr
equencies of the higher-order modes (by varying the cell and iris radi
i along the structure) so that the net induced wakefield rapidly decoh
eres. The design and simulation of damped and detuned structures will
be discussed. Beam dynamics simulations incorporating an accelerating
structure design for the SLAG Next Linear Colider (NLC) are presented.