  We introduce an algorithm that constructs disordered mass-spring networks
whose elastic properties mimic that of glasses by tuning the fluctuations of
the local elastic properties, keeping fixed connectivity and controlling the
prestress. In two dimensions, the algorithm reproduces the dependence of
gasses' vibrational properties, such as quasi-localised vibrational modes and
Boson peak, on the degree of stability. The sound attenuation displays Rayleigh
scattering and disorder-broadening regimes at different frequencies, and the
attenuation rate increases with increased stability. Our results establish a
strong connection between the vibrational features of disordered solids and the
fluctuations of the local elastic properties and provide a new approach to
investigating glasses' vibrational anomalies.
