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ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 2012, Vol. 33 ›› Issue (12): 2221-2229.

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Design Optimization of Composite Materials Based on Improved Discrete Materials Optimization Model

DUAN Zunyi1, YAN Jun1, NIU Bin2, XIN Xing3, ZHAO Guozhong1   

  1. 1. State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China;
    2. Department of Mechanical Engineering, Aalborg University, Aalborg DK-9220, Denmark;
    3. 41st Institute of the Fourth Academy, China Aerospace Science and Technology Corporation, Xi’an 710025, China
  • Received:2011-12-22 Revised:2012-02-21 Online:2012-12-25 Published:2012-12-24
  • Supported by:

    National Natural Science Foundation of China (90816025, 10902018, 11072049); Major National Science and Technology Project (2011ZX02403-002); National Basic Research Program of China (2011CB610304); Science Research Foundation of Dalian University of Technology (DUT11LK05).

Abstract:

An improved discrete materials optimization (DMO) model, HPDMO (Heaviside Penalization of Discrete Materials Optimization) model, is established in this paper with continuous penalization and Heaviside penalization to improve the convergence rate of the optimization results of composite materials using traditional DMO. A minimum structural compliance design model is built to optimize the distribution of ply angles of composite materials. A sensitivity analysis is carried out via the direct method based on the HPDMO model. The convergence rate of optimization results, the value of objective function and the iteration history of the traditional DMO, continuous DMO and HPDMO models are compared. Numerical example shows that the HPDMO model can not only improve significantly the convergence rate of optimization of the ply angles of composite materials and provide a clear optimization result, but also do so with a relatively small number of optimization iterations. Thus the paper presents a new approach for the optimization of composite materials in engineering structures.

Key words: composite materials, discrete materials optimization, penalization model, fiber ply angle, convergence rate

CLC Number: