Abstract
The steady state forced harmonic motion of a linear mechanical system is considered. It is shown that the output q of the system can be matched with its input p, in the sense that the condition p = λ Vq is satisfied, where V is a given weighting matrix. The quantities λ and q, satisfying the above matching equation, are called the matching coefficient and mode, respectively. The application of the matching method to the identification of unknown system matrices, and hence to shifting a system resonance frequency, is presented. Three practical methods of achieving input-output matching are proposed.
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