【作者】 段尊义； 阎军；

【Author】 Zunyi Duan;Jun Yan;Northwestern Polytechnical University;Dalian University of Technology;

【机构】 西北工业大学； 大连理工大学；

【摘要】 本文提出了一种考虑基频约束的复合材料框架并发多尺度拓扑优化设计方法。为了克服强奇异最优解和传统多项式材料插值(PLMP)方案分析误差所带来的挑战,提出了一种新的惯性密度插值方案,该方案被标记为自适应PLMP (APLMP)。采用APLMP方案和离散材料优化(DMO)方法,同时优化框架结构的宏观拓扑结构和微观纤维缠绕角度的选择。所提出的APLMP方法和求解程序也通过数值算例进行验证。数值算例表明,所提出的APLMP插值格式能够有效解决考虑基频约束的复合材料框架多尺度拓扑优化设计中的奇异最优问题。所提出的考虑基频约束的结构材料用量最小化的多尺度优化模型有望为工程应用中的复合材料框架设计提供新的选择。更多还原

【Abstract】 This paper proposes an efficient methodology for concurrent multi-scale design optimization of composite frames considering specific design constraints to obtain the minimum structure cost when the fundamental frequency is considered as a constraint.To overcome the challenge posed by the strongly singular optimum and the weakness of the conventional polynomial material interpolation(PLMP) scheme,a new area/moment of inertia-density interpolation scheme,which is labeled as adapted PLMP(APLMP) is proposed.The APLMP scheme and discrete material optimization(DMO) approach are employed to optimize the macroscopic topology of a frame structure and microscopic composite material selection concurrently.The corresponding optimization formulation and solution procedures are also developed and validated through numerical examples.Numerical examples show that the proposed APLMP scheme can effectively solve the singular optimum problem in the multi-scale design optimization of composite frames with fundamental frequency constraints.The proposed multi-scale optimization model for obtaining the minimum cost of structures with a fundamental frequency constraint is expected to provide a new choice for the design of composite frames in engineering applications.更多还原