Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Examples of the use of Fourier series in structural optimization

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.

References [Enhancements On Off] (What's this?)

  • [1] Hans Schamel and Klaus Elsässer, The application of the spectral method to nonlinear wave propagation, J. Computational Phys. 22 (1976), no. 4, 501–516. MR 0449164
  • [2] Ian N. Sneddon, Fourier Transforms, McGraw-Hill Book Co., Inc., New York, Toronto, London, 1951. MR 0041963
  • [3] S. Timoshenko, Vibration problems in engineering, Van Nostrand, New York (1937)
  • [4] James C. Frauenthal, Constrained optimal design of columns against buckling, J. Structural Mech. 1, no. 1, 79-89 (1972)
  • [5] S. Timoshenko, Strength of materials, Part 2, Advanced theory and problems, Robert E. Krieger, Huntington, New York (1976)
  • [6] Robert D. Blevins, Formulas for natural frequencies and mode shape, Van Nostrand Reinhold, New York (1979)

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DOI: https://doi.org/10.1090/qam/860905
Article copyright: © Copyright 1986 American Mathematical Society

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