Diverse discrete material optimization for multi-patch laminates under vibration environment
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RESEARCH PAPER
Diverse discrete material optimization for multi-patch laminates under vibration environment Xiangtao Ma 1 & Kuo Tian 1 & Hongqing Li 1 & Fayao Wang 1 & Peng Hao 1 Received: 16 November 2019 / Revised: 19 March 2020 / Accepted: 27 March 2020 # Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract In practical engineering, the design scheme is generally a compromise solution that meets various requirements. In most cases, the traditional optimization method provides a single optimized solution, which may be prone to fail during the subsequent design stage because some unpredictable requirements may be not considered in the preliminary optimization process. For example, maximizing fundamental frequency is generally regarded as the optimization objective for aerospace structures under the vibration environment in the preliminary design stage. However, the optimized solution may fail for strength, buckling, or other requirements during the subsequent detailed design stage. Therefore, it is crucial to provide multiple alternative solutions for insurance. In this paper, a diverse discrete material optimization (DDMO) framework is proposed for multi-patch laminates. It can optimize the material topology layout and fiber orientations of composite structures simultaneously and provide multiple alternative solutions that have diversity in design space and different potential performance. In this paper, a diversity index for discrete variables is proposed and the discrete material optimization (DMO) method with the diversity index constraint is employed to perform the DDMO. Two illustrative examples are used to verify the effectiveness of the proposed optimization framework, including a simple example of a composite plate and a complex engineering example of an S-shaped curved shell. Results indicate that, the proposed method can provide multiple diverse alternative solutions with similar performance in the optimization objective, which are verified to have better potential performance than the single solution by the traditional single design method. Moreover, multiple design options by the diverse optimization method can contribute to reducing the probability of redesign and shortening the design cycle. Keywords Diverse discrete material optimization (DDMO) . Diverse design . Multi-patch laminates . Hybrid composite materials
1 Introduction Composite laminates are widely used in the aerospace industries, due to the superior mechanical properties of composite materials. The common structural configurations of composite structures are plates and shells. Over the past decades, the demand for stronger and lighter structures has resulted in a rapid increase in the use of advanced composite materials. For example, the ratio of composite materials in Airbus A350
Responsible Editor: Jianbin Du * Kuo Tian [email protected] 1
Department of Engineering Mechanics, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China
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