Abstract

Expressions for the sensitivities of the frequency response functions of linear constant coefficient systems with distinct eigenvalues to perturbations in the values of their design parameters are derived. The expressions are of each of two forms, the one involving complex number (phasor) representation of the responses and the sensitivities, the other involving separate amplitude and phase representations. The relations derived contain eigenvalue, eigenvector and adjoint eigenvector sensitivities. Engineering applications of the theory are suggested.

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