An optimization technique is presented which reduces the response of damped linear systems without neglecting the cost of the required design changes. A two-part function represents the design objective as a weighted sum of a function of the response levels at important locations on the structure in critical frequency ranges, and a function of the cost of potential design changes. Numerical examples are included, and experimental verification of the technique’s ability to reduce response at a specified location on a beam is also included. The technique is shown by these examples to be an effective design tool.

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