Development of a regressive finite element model optimization technique making use of transmissibilities

Optimization of vibrating structures by means of finite element models usually requires a high number of optimization runs, where the finite element analysis time itself is often already a serious issue. The total optimization time consists of the finite element (FE) analysis calculation time multiplied by the number of optimization iterations. In this paper a computationally efficient strategy for optimization of structures is presented. Transmissibility functions are introduced to speed-up the FE analysis step, making use of the modal model. The method demonstrates it usefulness in the case of random response analysis where the external loading types are defined statistically by means of power spectral density functions. The relationship between random response displacement power spectral density and input base acceleration power spectral density is written in terms of a transmissibility function between response and excitation. An important feature of the presented method is its numerical efficiency with respect to calculation times. A comparison will be made with existing methods available in commercial FE software. The effectiveness of the proposed procedure is illustrated by means of a case study.

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