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面向复杂载荷工况下的横梁多分辨率拓扑优化

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针对复杂载荷条件下加工中心横梁结构的刚度优化问题,提出了一种可以有效降低模型计算规模的高精度拓扑优化方法.首先,对加工中心横梁这类结构复杂、求解规模大的拓扑优化问题进行分析,发现多分辨率拓扑优化方法可以显著降低此类问题的计算成本;其次,为进一步提高计算效率,将自适应梯度分区技术引入到多分辨率拓扑优化方法中,形成一种自适应梯度分区的多分辨率拓扑优化方法,该方法在模型拓扑更新过程中只对特定的低效离散区域进行处理,以达到进一步降低模型计算规模的目的;最后,在加工中心横梁多工况优化中,将自适应梯度分区的多分辨率拓扑优化与传统的优化方法进行对比研究,发现在相同单元网格数量条件下,新的拓扑优化方法的计算速度相较于传统的拓扑优化方法提高了约8 倍.
Multiresolution Topology Optimization Method for Beams Under Complex Loading Conditions
To improve the stiffness of the crossbeam structure of machining centers under complex loading conditions,this study proposes a topology optimization method that can effectively reduce the computational scale of the model and achieve high solution accuracy.Firstly,topology optimization problems,such as ma-chining center beams,which are structurally complex and have large solution scales,are analyzed.It is found that multiresolution topology optimization methods can significantly reduce the computational cost of these problems.Secondly,in order to further enhance computational efficiency,the self-adaptive sensitivity partitioning technique is incorporated into the multiresolution topology optimization method.This results in the proposal of a self-adaptive sensitivity partition and multiresolution topology optimization method,which specifically addresses inefficient discrete regions during the model topology updating process.This aims to further reduce the computational scale of the model.Finally,the multiresolution topology optimization with self-adaptive sensitivity partitioning was compared to the traditional optimization method in the multiple loading conditions optimization of machining center beams.It was found that,with the same number of ele-ments,the computational speed of the new topology optimization method was improved by approximately 8 times compared to the traditional topology optimization method.

machining centerbeamadaptive sensitivity partitioningmultiresolution topology optimiza-tionmultiple loading conditions optimization

饶刚、袁佳豪、夏胜军

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武汉科技大学 冶金装备及其控制教育部重点实验室,武汉 430081

武汉科技大学 机械传动与制造工程湖北省重点实验室,武汉 430081

武汉科技大学 机械自动化学院,武汉 430081

加工中心 横梁 自适应梯度分区 多分辨率拓扑优化 多工况优化

2024

组合机床与自动化加工技术
大连组合机床研究所 中国机械工程学会生产工程分会

组合机床与自动化加工技术

CSTPCD北大核心
影响因子:0.671
ISSN:1001-2265
年,卷(期):2024.(10)