Issues addressed in this paper are related to the isolation and vibration transmission of vibration-sensitive systems mounted on a flexible support. The normal operation of certain electronic, optical and mechanical systems requires a vibration-free environment. To obtain such an environment, these systems are usually isolated from their supports with soft springs. When an array of such systems is needed, due to space constraints or other reasons, they are typically mounted on a common support, which in practice is flexible. Although such a design generally is effective in isolating vibration from ground support, vibration from one system, due to excitations other than from its support, can easily transmit to nearby systems. The level of the transmitted vibration (also known as vibration interaction) can be very significant, especially when all the systems are designed identically for simplicity and with less damping for effective ground vibration isolation. Isolator frequency separation (decoupling), viscous and viscoelastic damping are studied for the reduction of vibration transmission among the systems and their effects on system isolation are discussed. It is found that although the isolator frequency separation and viscous damping could be used for vibration transmission reduction among the isolated systems on the flexible support, the addition of viscoelastic damping reduces the vibration transmission without sacrificing their isolation performance. The difference between viscous and viscoelastic damping on ground vibration isolation is explained theoretically in the final part of the paper using a one degree of freedom model.

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