Abstract
A design procedure based on the optimum damping frequency of the three-parameter isolator is proposed to construct a passive isotropic multi-strut vibration isolation platform (VIP) with three-parameter isolators. Two steps are necessary to implement the proposed design scheme. The first step is determination of the optimal damping frequency of the three-parameter isolator; the second step is designing the isofrequency VIP with natural frequencies tuned as the optimal damping frequency in three orthogonal directions. Three methods are summarized to identify the optimal damping frequency theoretically or experimentally. A frequency response function (FRF)-based substructuring method is proposed to predict natural frequencies of the VIP in an isolation system, which accounts for the coupling between different directions and structural flexibilities. Analytical expressions of configurations to implement isofrequency VIP are derived from FRF-based substructuring method for special cases. The three-parameter isolator by employing bellows is manufactured and a hexapod VIP is built. The proposed design scheme is verified by identifying the optimal damping frequency and comparing acceleration transmissibility under vertical and horizontal base displacement excitation for varying loaded mass. The study can shed some light on the design of a passive multi-strut VIP with three-parameter isolators.
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