Application of POD Projection to Orientation Optimization of Laminated Composite Design


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In the context of laminated composite design, the integrated stiffness of the laminate depends on the number of plies, the material and the orientation of the material in each ply. The main issue of design is the prohibitive numerical simulation cost, the early technique (DMO, discrete material optimization; BCP, Bi-value Coding Parameterization Method) consists in transforming the continuous orientation angle variables to discrete design variables as multiphase material selection problems. In this work, a set of continuous orientation angle is directly considered. More precisely, the design task is the orientation of the orthotropic material in each element of the discretization and the ratio of ply thickness. In order to reduce the computational effort, Proper Orthogonal Decomposition (POD) applied to decrease the number of design variables. The numerical results in a simple case show that the proposed method is available.



Advanced Materials Research (Volumes 634-638)

Edited by:

Jianmin Zeng, Hongxi Zhu and Jianyi Kong




M. Y. Xiao et al., "Application of POD Projection to Orientation Optimization of Laminated Composite Design", Advanced Materials Research, Vols. 634-638, pp. 1890-1895, 2013

Online since:

January 2013




[1] S. Abrete: Optimal design of laminated plates and shells. Composite structures, 29: 269–286 (1994).

[2] Duffy KJ, Adali S: Optimal fibre orientation of antisymmetric hybrid laminates for maximum fundamental frequency and freqency separation. J Sound Vib 146(2): 181–190 (1991).


[3] Grenestedt JL: Layup optimization and sensitivity analysis of the fundamental eigenfrequency of composite plates. Compos Struct 12: 193–209 (1989).


[4] Luo JH, Gea HC: Optimal bead orientation of 3d shell/plate structures. Finite Elem Anal Des 31: 55–71 (1998).


[5] N. L. Pedersen: On design of fiber-nets and orientation for eigenfrequency optimization of plates. Comput. Mech. 39: 1–13 (2006).

[6] G. Berkooz, P. Holmes and J. L. Lumley: The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows. Annual Review of Fluid Mechanics. vol. 25, p.539–575 (1993).


[7] P.A. LeGresley and J.J. Alonso: Improving the performance of design decomposition methods with POD. In: 10th AIAA/ISSMO multidisciplinary analysis and optimization conference, 30 August–1er September, Albany, New York, USA, AIAA 2004, p.44–65.


[8] Y.C. Fung: Foundations of solid mechanics (International Series in Dynamics). Prentice Hall, June (1965).

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