Vibration isolation using continuous beams

Vibration Isolation involves an inertially coupled system with a mass-lever combination where the inertial forces cancel spring induced forces, thus permitting a high degree of isolation at a relatively low frequency in discrete dynamic systems. This paper shows that the lever combination can be clamped at the root rather than pinned and modeled as a continuous dynamic system. It is theoretically proven that this model can be tuned to achieve isolation with zero displacement, force, and moment transmissibility. The frequency response is calculated based on Euler Bernoulli assumptions for a beam with a tip mass under point force loading. A tip mass equivalent to the mass of the beam can reduce the first isolation frequency by 71% for shear at the root, 72% for moment at the root, and 64% for tip displacement, relative to a cantilever without a tip mass.