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。
An efficient vibration reduction optimization method based on the global POD reduced-order model is pro⁃posed to improve the efficiency of frequency response analysis and vibration reduction optimization for complex thinwalled aerospace structures.In the offline stage,the sample configurations are increased by the CV-Voronoi se⁃quence sampling method,which can adaptively determine the appropriate number of model updating with higher pre⁃diction 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 effi⁃cient global optimization method based on the surrogate model is used to quickly solve the optimized configuration pa⁃rameters in the design space to further improve the optimization efficiency.The vibration reduction optimization ex⁃amples 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.
作者
可钊
时永鑫
张鹏
田阔
王博
KE Zhao;SHI Yongxin;ZHANG Peng;TIAN Kuo;WANG Bo(State Key Laboratory of Structural Analysis for Industrial Equipment,Department of Engineering Mechanics,Dalian University of Technology,Dalian 116024,China;Expace Technology Co.,Ltd.,Wuhan 430040,China;Institute of Spacecraft System Engineering,China Academy of Space Technology,Beijing 100094,China)
出处
《航空学报》
EI
CAS
CSCD
北大核心
2023年第13期143-158,共16页
Acta Aeronautica et Astronautica Sinica
基金
国家重点研发计划(2022YFB3400245)
国家自然科学基金(11902065,11825202)
中央高校基本科研业务费专项资金(DUT21RC(3)013)。
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
thin-walled structure
proper orthogonal decomposition
vibration reduction optimization
global reduc⁃tion basis
frequency response analysis
