A fiber optic sensor comprises a flexural disk having a pair of fiber optic coils mounted on opposite sides thereof and connected together to form an interferometer that produces an output signal in response to acceleration of the flexural disk. The flexural disk is mounted in a housing having first and second end plates with a sidewall extending between them. The sidewall is formed to have an inwardly facing groove in which an outer edge portion of the flexural disk is mounted. A support member extends between oppositely facing portions of the first and second end plates and through a central passage in the flexural disk. A damping member is mounted on the central support member and arranged to exert a radial force on an inner edge of the central passage in flexural disk to dampen vibrations of the flexural disk and control the sensor output signal amplitude over a selected frequency band in order to maximize dynamic range.