For the first time, a self-consistent effective medium is set up for c
entral-force percolation networks with bond-bending forces, which do n
ot allow the standard technique, the HCPA, to be used. By means of the
replica trick. for two-dimensional bond-dilute triangular lattices wi
th central and bond-bending forces, an effective lattice potential wit
h complex, frequency dependent force constants is derived. The density
of vibrational states is calculated and compared with corresponding r
esults obtained by means of other methods.