The purpose of this paper is to present the results of an analytical study on optimization problems involving large structures subjected to impulse type loading. The impact due to aircraft landing, aerodynamic gust, and the effect of blast waves are a few examples of impulse-type loadings on aerospace structures. The method of optimization presented in this paper is called designing in the dynamic mode. The dynamic mode may be a single natural mode of the structure or a combination of a set of natural modes depending on the spatial distribution and dynamic characteristics of the forcing function. The aperiodic forcing function is represented by Fourier integral in determining the dynamic response. A procedure for determining the participating modes in the dynamic response is discussed. The illustrative examples are a wing structure and a circular arch.
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Venkayya et al. (1975) studied this question.
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