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Optimal Design with Advanced Materials

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Engineering Optimization in Design Processes

Part of the book series: Lecture Notes in Engineering ((LNENG,volume 63))

Abstract

Recent results from sensitivity analysis for strain energy with anisotropic elasticity are applied to thickness and orientational design of laminated membranes. Primarily the first order gradients of the total elastic energy are used in an optimality criteria based method. This traditional method is shown to give slow convergence with respect to design parameters, although the convergence of strain energy is very good. To get a deeper insight into this rather general characteristic, second order derivatives are included and it is shown how they can be obtained by first order sensitivity analysis. Examples of only thickness design, only orientational design and combined thickness-orientational design will be presented.

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References

  1. Banichuk, N.V.: Problems and Methods of Optimal Structural Design, Plenum Press, New York, 1983.

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  2. Pedersen, P.: On Optimal Orientation of Orthotropic Materials, Structural Optimization, Vol. 1, 101–106, 1989.

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  3. Pedersen, P.: Bounds on Elastic Energy in Solids of Orthotropic Materials, Structural Optimization, Vol. 2, 55–63, 1990.

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  4. Landriani, G.S. & Rovati, M.: Optimal Design for 2—D Structures made of Composite Materials, subm. to J. of Engineering Materials and Technology.

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Author information

Authors and Affiliations

  1. Department of Solid Mechanics, The Technical University of Denmark, Lyngby, Denmark

    Pauli Pedersen

Authors
  1. Pauli Pedersen
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Editor information

Editors and Affiliations

  1. Institute of Mechanics and Control Engineering, University of Siegen, D-5900, Siegen, Germany

    Hans A. Eschenauer

  2. Karlsruhe Nuclear Research Center, Institute of Materials and Solid State Research IV, D-7500, Karlsruhe, Germany

    Claus Mattheck

  3. Institute of Mechanical Engineering, Aalborg University, DK-9220, Aalborg, Denmark

    Niels Olhoff

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© 1991 Springer-Verlag Berlin, Heidelberg

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Pedersen, P. (1991). Optimal Design with Advanced Materials. In: Eschenauer, H.A., Mattheck, C., Olhoff, N. (eds) Engineering Optimization in Design Processes. Lecture Notes in Engineering, vol 63. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84397-6_9

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  • DOI: https://doi.org/10.1007/978-3-642-84397-6_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53589-8

  • Online ISBN: 978-3-642-84397-6

  • eBook Packages: Springer Book Archive

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