Incremental inverse eigenmode problem for performance-based structural redesign

Abstract

A new analytical procedure is developed for an incremental inverse eigenmode problem and its application to performance-based structural redesign is presented. It is shown that the two-step redesign procedure proposed in this paper is appropriate for developing an efficient and flexible performance-based structural redesign method and is able to handle easily a design problem with design variable grouping. The preliminary redesign procedure (the first part) is implemented via the direct application of the incremental inverse eigenmode problem and the subsequent principal redesign procedure (the second part) in terms of two principal parameters enhances its efficiency together with simultaneous satisfaction of requirements on structural performances and cost. Dissatisfaction functions are introduced to represent fuzziness of constraint boundaries. Two examples of a four-storey single-span plane building frame and a stepped Timoshenko cantilever beam are introduced to demonstrate the efficiency and usefulness of the present design method.