A new performance criterion is proposed for the synthesis of optimum linear isolators subject to random inputs. This criterion is based upon the values of displacement and acceleration; the probability of exceeding which, during the operational time, will be less than a desired value. A method is developed to solve this optimization problem for the case of stationary, Gaussian random input. Finally, systems optimized on the basis of the proposed criterion are compared with systems optimized according to the commonly used criterion which involves minimization of a weighted sum of the expected mean square values of displacement and acceleration.

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