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Optimization of Conical Shells for Static and Dynamic Loads

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Structural Optimization

Abstract

Optimization of conical shells under static or dynamic loads is treated herein. Volume minimization subject to constraints on either allowable stresses or fundamental frequency and frequency maximization subject to a constraint on volume are studied. Piecewise linear variation in shell thickness is allowed in the study. A numerical procedure incorporating the finite element method and direct search optimization techniques is used. Results indicate that considerable saving in material and elevation in frequency are possible.

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References

  1. O.E. Lev (Ed.), Structural Optimization, American Society of Civil Engineers, New York, 1981.

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  2. V. Thevendran, D.P. Thambiratnam, Minimum Weight Design of Cylindrical Water Tanks, International Journal of Numerical Methods in Engineering, Vol. 23, No. 9, 1986, pp. 1679–1691.

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  3. D.P. Thambiratnam, V. Thevendran, Maximization of Natural Frequencies of Cylindrical Shells, Engineering Optimization, to appear in 1988.

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  4. BS 5337 The Structural Use of Concrete for Retaining Aqueous Liquids, (formerly CP 2007). British Standards Institution, London, 1976.

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© 1988 Kluwer Academic Publishers

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Thambiratnam, D.P. (1988). Optimization of Conical Shells for Static and Dynamic Loads. In: Rozvany, G.I.N., Karihaloo, B.L. (eds) Structural Optimization. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1413-1_45

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  • DOI: https://doi.org/10.1007/978-94-009-1413-1_45

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7132-1

  • Online ISBN: 978-94-009-1413-1

  • eBook Packages: Springer Book Archive

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