Linear quadratic design of passive vibration isolators

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2014

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Abstract

Design of passive vibration isolators using the popular Linear Quadratic (LQ) control design method is discussed. A single degree of freedom (DOF) example is used to illustrate the main concepts (i.e., skyhook damping, tradeoff between response to base excitation and external disturbances). The LQ design results are also presented for two DOF isolators to investigate two alternative approximate solution strategies, selection of weights, and location of isolators. The LQ approach is shown to be a suitable and convenient approximate design method for locating and tuning passive vibration isolators that approximate skyhook damping. © 2014 by ASME.

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