As a locally resonant (LR) elastic system, a uniform Euler–Bernoulli beam suspended with force and moment resonators has complicated band-gap mechanisms and richer dispersive characteristics. In this paper, we consider the use of the force and moment resonators in a noncollocated manner. On the LR beam, the force-type vibrators and the moment-type vibrators are alternatingly arranged, with a separation distance. We present an analytical study of the dispersion characteristics of the LR system, especially the effects of the separation distance on further widening the frequency stop bands. In addition, the complex dispersion properties on the frequency axis are described using a formulation different from the common approach.