Some Applications of Fourier Series in Structural Optimizationby William R. Spillers, Rensselaer Polytechnic Inst, Troy, NY, USA,
Abstract: This paper discusses the application of the method of truncated Fourier series to problems of structural optimization. It begins with a discussion of the range of the method which has by this time been applied to problems of beam vibration and both beam and plate buckling. It is then shown how the method applies equally well to the problem of the optimal design for transient vibrations of a shear beam.
Subject Headings: Fourier analysis | Beams | Vibration | Structural design | Transient loads | Optimization models | Plates | Buckling
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