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Optimum Design of Thick Laminated Anisotropic Plates via Frequency Regulation. A BEM Approach

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Advances in Mechanics of Materials and Structural Analysis

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 80))

Abstract

The optimum design of a thick laminated anisotropic plate in order to regulate its dynamic response is studied. The optimization problem consists in establishing the ply orientation of each layer for which the fundamental frequency is maximized, minimized or forced to reach a prescribed value. The evaluation of the objective function requires the solution of the dynamic bending problem of a thick laminated plate which is solved using the Analog Equation Method (AEM) in conjunction with the Boundary Element Method (BEM). A nonlinear optimization problem is formulated and the optimum solution is obtained through the sequential quadratic programming algorithm. Several plate optimization problems have been studied giving realistic and meaningful optimum designs.

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Authors and Affiliations

  1. School of Civil Engineering, National Technical University of Athens Zografou Campus, Athens, 15773, Greece

    J. T. Katsikadelis & N. G. Babouskos

Authors
  1. J. T. Katsikadelis
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  2. N. G. Babouskos
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Correspondence to J. T. Katsikadelis .

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Editors and Affiliations

  1. Institute of Mechanics Faculty of Mechanical Engineering, Otto-von-Guericke-University Magdeburg, Magdeburg, Sachsen-Anhalt, Germany

    Holm Altenbach

  2. Fakultät 5, Abt. 1, Hochschule Bremen, Bremen, Bremen, Germany

    Frank Jablonski

  3. Institut für Mechanik, Technische Universität Berlin, Berlin, Germany

    Wolfgang H. Müller

  4. Institute of Mechanics, Faculty of Mechanical Engineering, Otto-von-Guericke-University Magdeburg, Magdeburg, Sachsen-Anhalt, Germany

    Konstantin Naumenko

  5. Institute for Lightweight Construction and Design (KLuB), Technische Universität Darmstadt, Darmstadt, Germany

    Patrick Schneider

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Katsikadelis, J.T., Babouskos, N.G. (2018). Optimum Design of Thick Laminated Anisotropic Plates via Frequency Regulation. A BEM Approach. In: Altenbach, H., Jablonski, F., Müller, W., Naumenko, K., Schneider, P. (eds) Advances in Mechanics of Materials and Structural Analysis. Advanced Structured Materials, vol 80. Springer, Cham. https://doi.org/10.1007/978-3-319-70563-7_10

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  • DOI: https://doi.org/10.1007/978-3-319-70563-7_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-70562-0

  • Online ISBN: 978-3-319-70563-7

  • eBook Packages: EngineeringEngineering (R0)

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