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Studies in the theory of Michell structures

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Applied Mechanics

Abstract

The problem of designing the lightest framework which will equilibrate a system of given forces was first considered by A. G. M. Michell [1]. Structures designed according to his principles are therefore called “Michell structures”.

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References

  1. Michell, A. G. M.: The Limit of Economy of Material in Frame Structures. Phil. Mag., Ser. 6, Vol. 8, No. 47, London, Nov. 1904.

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  2. Hill, R.: The Mathematical Theory of Plasticity, Oxford: Clarendon Press 1950.

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  3. Prager, W.: On a Problem of Optimum Design. Brown University, Division of Applied Maths., Tech. Report 38, 1958.

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  4. Hemp, W. S.: Theory of Structural Design. College of Aeronautics Report 115, 1958.

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  5. Chan, A. S. L.: The Design of Micheli Optimum Structures. College of Aeronautics Report 142, 1960.

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  6. Drucker, D. C, and R. T. Shield: Design of Minimum Weight. 9th Internat. Cong. of Appl. Mech., Book 5, Brussels 1957.

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  7. Chan, H. S. Y.: Optimum Micheli Frameworks for Three Parallel Forces. College of Aeronautics Report Aero. 167, 1963.

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  8. Wagner, H. M.: The Dual Simplex Algorithm for Bounded Variables. Naval Research Logistics Quarterly, Vol. 5, No. 3, Sep. 1958.

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  9. Chan, H. S. Y.: Unpublished Work.

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© 1966 Springer-Verlag Berlin Heidelberg

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Hemp, W.S. (1966). Studies in the theory of Michell structures. In: Görtler, H. (eds) Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-29364-5_83

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  • DOI: https://doi.org/10.1007/978-3-662-29364-5_83

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-27863-5

  • Online ISBN: 978-3-662-29364-5

  • eBook Packages: Springer Book Archive

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