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An optimality criteria-based algorithm for efficient design optimization of laminated composites using concurrent resizing and scaling

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Abstract

Numerical optimization is an indispensable part of the design process of laminated composite structures. Several optimality criteria-based algorithms exist which rely on a sequential resizing and scaling approach. This paper presents a novel design algorithm applicable for stiffness and eigenfrequency optimization of composite structures with concurrent consideration of resizing and scaling operations. A method is introduced that allows for an efficient consideration of nonlinear constraints. This is done by determining stable concurrent scaling parameters from first-order constraint change ratio estimations. Optimization is carried out using optimality criteria in three independent steps, namely with respect to fiber angles, ply thickness ratios, and total laminate thickness. Sensitivity analyses are performed analytically at low computational costs. Numerical examples demonstrate the efficiency and fast convergence of the method. Compared to established algorithms, the number of required function evaluations is reduced significantly.

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Acknowledgements

This work has been supported by the Swiss Commission for Technology and Innovation (CTI project 15096.1 PFIW-IW).

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Authors and Affiliations

  1. Laboratory of Composite Materials and Adaptive Structures, ETH Zurich, Leonhardstrasse 21, CH-8092, Zurich, Switzerland

    Ralph Kussmaul & Paolo Ermanni

  2. Inspire AG - Innovative Composite Structures, Zurich, Switzerland

    Markus Zogg

Authors
  1. Ralph Kussmaul
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  2. Markus Zogg
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  3. Paolo Ermanni
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Correspondence to Ralph Kussmaul.

Appendices

Appendix A: Transformation

$$ \boldsymbol{T} = \left[\begin{array}{lll} \cos(\theta)^{2} & \sin(\theta)^{2} & 2 \sin(\theta) \cos(\theta) \\ \sin(\theta)^{2} & \cos(\theta)^{2} & -2 \sin(\theta) \cos(\theta) \\ -\sin(\theta) \cos(\theta) & \sin(\theta) \cos(\theta) & \cos(\theta)^{2}-\sin(\theta)^{2} \\ \end{array}\right] $$
(69)

Appendix B: Material properties

Table 2 Material properties
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Kussmaul, R., Zogg, M. & Ermanni, P. An optimality criteria-based algorithm for efficient design optimization of laminated composites using concurrent resizing and scaling. Struct Multidisc Optim 58, 735–750 (2018). https://doi.org/10.1007/s00158-018-1927-1

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  • DOI: https://doi.org/10.1007/s00158-018-1927-1

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