Examples of the use of Fourier series in structural optimization

Balasubramanyam, K.; Spillers, W. R.

doi:10.1090/qam/860905

Authors: K. Balasubramanyam and W. R. Spillers
Journal: Quart. Appl. Math. 44 (1986), 559-566
MSC: Primary 73K40
DOI: https://doi.org/10.1090/qam/860905
MathSciNet review: 860905
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Abstract: This paper examines the use of Fourier series (finite integral transforms) in some beam-type problems of optimal structural design. In general, the series solution method reduces continuous mathematical programming problems to discrete ones. This is of particular interest when accurate results can be obtained with only a few terms of the series. Six problems of vibration and buckling are treated, most of which are not now available in the literature.

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