首页|拓扑优化结构中棋盘格式的光滑及等面积处理方法

拓扑优化结构中棋盘格式的光滑及等面积处理方法

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为了解决拓扑优化后出现的边缘棋盘格式问题,提出了用线性最小二乘法对边缘棋盘格式进行线性化处理.在拓扑优化棋盘格式边界线性化处理后,出现了小梁结构端面面积在长度方向不相等和不均匀等问题,对实际工程应用带来不便.针对此问题提出了首先用常规的单边中心分割等面积处理方法对线性光滑处理后的模型进行优化,使重构模型趋于均匀化、规则化,但是发现单边中心分割等面积法处理后重构模型的小梁中心出现了偏离.为了保证小梁结构端面面积相等、同时保证小梁中心线不偏离,又提出了双边中心分割等面积法,这种方法避免了小梁结构等面积变化后的中心线偏离问题,保证拓扑优化结构的完整性.通过计算对比分析,发现双边中心分割等面积法处理后的重构模型在静力学分析中的性能均优于其他两种方法,验证了双边中心分割等面积法处理的可行性.
Smoothing Method of Chessboard Format in Topology Optimization
In order to solve the problem of edge chessboard format after topology optimization,it proposes a linear least square method to linearize the edge chessboard format.After the linearization of the boundary of the chessboard format,the problem of unequal and uneven end area of the beam structure is presented,which is inconvenient for the practical engineering application.In order to solve this problem,the paper proposes that the model after linear smoothing is optimized by the conventional method of equal area processing of single center division,which makes the reconstruction model more uniform and regular.However,it is found that the center of the beam of the reconstructed model deviates after the treatment of the method.In order to ensure the area of the end face of the beam structure is equal and the center line of the beam is not deviated,the method of equal area of the center line of the beam is proposed.This method avoids the deviation of the center line after the change of the equal area of the beam structure and ensures the integrity of the topology optimization structure.Through the calculation and comparison,it is found that the performance of the reconstruction model after the treatment by the two-way Center Division equal area method is better than the other two methods in statics analysis,which proves the feasibility of the two-way method.

Topology OptimizationChessboard FormatLinear Least Square MethodEqual Area MethodFinite Element Analysis

曹陆建、买买提明·艾尼

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新疆大学机械工程学院,新疆维吾尔自治区 乌鲁木齐 830047

拓扑优化 棋盘格式 最小二乘法 等面积法 有限元分析

柔性机座-转子轴承系统动力学参数时变性及全局最优匹配方法研究—国家自然科学基金资助项目

11772289

2024

机械设计与制造
辽宁省机械研究院

机械设计与制造

CSTPCD北大核心
影响因子:0.511
ISSN:1001-3997
年,卷(期):2024.395(1)
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