  We study effects of quenched bond disorder in frustrated easy-plane
antiferromagnets in two space dimensions, using a combination of analytical and
numerical techniques. We consider local-moment systems which display
non-collinear long-range order at zero temperature, with the antiferromagnetic
triangular-lattice XY model as a prime example. We show that (i) weak bond
disorder transforms the clean ground state into a state with quasi-long-range
order, and (ii) strong bond disorder results in a short-range-ordered glassy
ground state. Using extensive Monte Carlo simulations, we also track the fate
of the quasi-long-range-ordered phase at finite temperature and the associated
Kosterlitz-Thouless-like transition. Making contact with previous studies of
disordered XY models, we discuss similarities and differences concerning the
interplay of disorder and frustration. Our results are also of relevance to
non-collinear Heisenberg magnets in an external magnetic field.
