一种基于最小响应点的结构拓扑优化设计方法及装置

By determining the initial minimum response frequency and solving the characteristic matrix, and combining iterative updates of design variables, the robustness and adaptability issues of the topology optimization method when the external excitation frequency shifts are solved, thereby improving the stability and vibration reduction performance of the structure.

CN122221614BActive Publication Date: 2026-07-17NORTHWESTERN POLYTECHNICAL UNIV
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Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
NORTHWESTERN POLYTECHNICAL UNIV
Filing Date
2026-05-21
Publication Date
2026-07-17

AI Technical Summary

Technical Problem

Existing topology optimization methods cannot maintain the robustness of vibration reduction performance when the external excitation frequency shifts. Their stability and adaptability are poor, making it difficult to meet the needs of actual engineering environments.

Method used

By determining the initial minimum response frequency, using the null space method and characteristic matrix to solve the problem, and combining iterative updates of design variables with the introduction of multi-dimensional constraints, the structural topology design is optimized to achieve precise control of the minimum response frequency.

Benefits of technology

It significantly improves the stability and adaptability of the target structure in complex engineering environments. The optimized structure has a clear topology, reduces the difficulty of engineering manufacturing, gives full play to the material properties, and achieves the best balance between vibration reduction effect and mechanical properties.

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Abstract

本申请公开了一种基于最小响应点的结构拓扑优化设计方法及装置,该方法包括:确定初始最小响应频率,并构建拓扑优化数学列式;基于设计变量更新初始有限元模型的基础信息,并确定目标静柔顺度;求解频响函数中的最小响应频率的特征矩阵,得到多个当前特征对;计算各当前特征对与历史目标向量的相似度,确定目标特征向量的最小响应频率;若最小响应频率的位移幅值满足约束条件,则确定设计变量的位移幅值灵敏度;否则,确定设计变量的函数灵敏度;更新设计变量,得到目标结构的最优设计构型。解决了现有的拓扑优化方法在外部激励频率发生偏移时无法保持减振性能的鲁棒性,其稳定性和适应性较差,难以满足实际工程环境的需求的问题。
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