Design Optimization of Response Amplitudes in Viscously Damped Structures

Abstract

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.