Metamaterial with Temporally Varying Elastic Properties

Embodiments of the present disclosure include metabeams with nonreciprocal dispersion. A host beam has a length along along a longitudinal axis and is configured to vibrate (oscillate) over its length. The vibration may be in a first direction perpendicular to the length of the host beam. A plurality of first resonators may be arranged in an array along the length of the host beam and extending from the host beam in a second direction which forms an angle (>0°) with respect to the first direction and an angle (>0°) with respect to the longitudinal axis of the host beam. Each first resonator has an arm having a first end attached to the host beam and an arm axis. The arm has a stiffness in the first direction which is selectively variable. A mass may be attached to the arm at a location which is spaced from the first end by a first distance. The stiffness of each first resonator arm is configured to be varied to impart nonreciprocal dispersion in the host beam.