航空学报 > 2023, Vol. 44 Issue (13): 227900-227900   doi: 10.7527/S1000-6893.2022.27900

基于全局POD降阶模型的复杂薄壁结构减振优化

可钊1,2, 时永鑫1, 张鹏3, 田阔1(), 王博1   

  1. 1.大连理工大学 工程力学系 工业装备结构分析国家重点实验室,大连 116024
    2.航天科工火箭技术有限公司,武汉 430040
    3.中国空间技术研究院 北京空间飞行器总体设计部,北京 100094
  • 收稿日期:2022-08-06 修回日期:2022-10-20 接受日期:2022-11-16 出版日期:2023-07-15 发布日期:2022-11-29
  • 通讯作者: 田阔 E-mail:tiankuo@dlut.edu.cn
  • 基金资助:
    国家重点研发计划(2022YFB3400245);国家自然科学基金(11902065);中央高校基本科研业务费专项资金(DUT21RC(3)013)

Vibration reduction optimization of complex thin-walled structures based on global POD reduced-order model

Zhao KE1,2, Yongxin SHI1, Peng ZHANG3, Kuo TIAN1(), Bo WANG1   

  1. 1.State Key Laboratory of Structural Analysis for Industrial Equipment,Department of Engineering Mechanics,Dalian University of Technology,Dalian 116024,China
    2.Expace Technology Co. ,Ltd. ,Wuhan 430040,China
    3.Institute of Spacecraft System Engineering,China Academy of Space Technology,Beijing 100094,China
  • Received:2022-08-06 Revised:2022-10-20 Accepted:2022-11-16 Online:2023-07-15 Published:2022-11-29
  • Contact: Kuo TIAN E-mail:tiankuo@dlut.edu.cn
  • Supported by:
    National Key Research and Development Program(2022YFB3400245);National Natural Science Foundation of China(11902065);Basic Research Funds for Central Universities(DUT21RC(3)013)

摘要:

为了提高航空航天复杂薄壁结构频响分析效率及减振优化效率,提出了一种基于全局POD降阶模型的高效减振优化方法。离线阶段,通过CV-Voronoi序列采样方法增加样本构型,其相比于传统直接采样方法能够自适应确定加点数目,并且全局精度更高,进而结合POD技术进行减缩基矩阵更新,构建面向优化设计空间的全局减缩基矩阵,实现对结构刚度阵、质量阵、阻尼阵的模型降阶,形成全局POD降阶模型。在线阶段,采用全局POD降阶模型替代全阶模型进行快速频响分析以提升分析效率,进而采用基于代理模型的高效全局优化方法开展减振优化设计,进一步提升优化效率。通过开展圆柱壳及S弯曲面加筋壳减振优化算例研究,验证了提出方法具有模型降阶精度高、寻优高效等优势。

关键词: 薄壁结构, 本征正交分解, 减振优化, 全局减缩基, 频响分析

Abstract:

An efficient vibration reduction optimization method based on the global POD reduced-order model is proposed to improve the efficiency of frequency response analysis and vibration reduction optimization for complex thin-walled aerospace structures. In the offline stage, the sample configurations are increased by the CV-Voronoi sequence sampling method, which can adaptively determine the appropriate number of model updating with higher prediction accuracy than the traditional direct sampling method. The reduced basis matrix is updated with the POD method to construct a global reduced basis matrix for the optimized design space, then realizing the order reduction of the structural stiffness matrix, mass matrix, and damping matrix. In the online stage, the reduced-order model is used to replace the full-order model for rapid frequency response analysis to improve the analysis efficiency. Then the efficient global optimization method based on the surrogate model is used to quickly solve the optimized configuration parameters in the design space to further improve the optimization efficiency. The vibration reduction optimization examples of the cylindrical shells and S-shaped curved stiffened shells verify that the proposed method has advantages of high accuracy of the reduced-order model and high efficiency of optimization.

Key words: thin-walled structure, proper orthogonal decomposition, vibration reduction optimization, global reduction basis, frequency response analysis

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