  This paper presents a mathematical model for an industry-inspired problem of
vibration isolation applied to elastic fluid-filled containers. A fundamental
problem of suppression of vibrations within a finite-width frequency interval
for a multi-scale fluid-solid system has been solved. We have developed a
systematic approach employing full fluid-solid interaction and dispersion
analysis, which can be applied to finite and periodic multi-scale systems. The
analytical findings are accompanied by numerical simulations, including
frequency response analyses and transient regime computations.
