连续体重建模型应力集中消除的方法
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摘要
在进行连续体拓扑优化时,若根据点云数据重建模型常有应力集中的现象。在分析结构内单元应力集中程度的基础上,基于单元间相对位置关系得到应力集中程度的分布情况,提取出应力集中区域。采用计算机辅助优化(CAO)方法的思想,将应力分布等效为温度场,根据单元的热膨胀效应在过载区域增加材料,对应力集中区域进行局部优化。优化实例表明,在寻找出结构的应力集中区域后,每次优化都会使局部结构趋于平缓,有效降低了优化区域的应力集中程度,最终可得到边缘光滑、无应力集中的结构。
As the topology optimization of continuum,there is stress concentration phenomenon in model reconstructed from the point cloud. By analyzing the stress concentration of structural units and obtaining the distribution of stress concentration based on relative positional relationship between units,got the stress concentration area. Based on the Computer-Aided Optimization( CAO) method,the stress distribution was equivalent to the temperature field,and the material was added to the overload region according to the thermal expansion effect of the units,which optimized the local stress concentration area. The example shows that the local structure is flattened by each optimization after the stress concentration region of the structure is found,which effectively reduces the stress concentration in the optimized area. The resulting structure is smooth and has no stress concentration.
As the topology optimization of continuum,there is stress concentration phenomenon in model reconstructed from the point cloud. By analyzing the stress concentration of structural units and obtaining the distribution of stress concentration based on relative positional relationship between units,got the stress concentration area. Based on the Computer-Aided Optimization( CAO) method,the stress distribution was equivalent to the temperature field,and the material was added to the overload region according to the thermal expansion effect of the units,which optimized the local stress concentration area. The example shows that the local structure is flattened by each optimization after the stress concentration region of the structure is found,which effectively reduces the stress concentration in the optimized area. The resulting structure is smooth and has no stress concentration.
引文
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[5]刘路.基于ESO算法的L型区域结构拓扑优化及应用[D].重庆:重庆大学,2013.
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[2]杜春江,钱林方,李守成.平面连续体结构拓扑优化及结果重构[J].机械设计,2007,24(1):40-42.
[3]王霄,刘会霞,刘东雷,等. CATIA逆向工程实用教程[M].北京:化学工业出版社,2005:14-15.
[4]陈义厚,周思柱,彭三河.基于薄壁圆孔平板应力集中的优化设计[J].长江大学学报(自然科学版),2010,3(7):83-85.
[5]刘路.基于ESO算法的L型区域结构拓扑优化及应用[D].重庆:重庆大学,2013.
[6] BAUD R V. Fillet profiles for constant stress[J]. Product Engineering,1934,5(4):133-134.
[7] MATTHECK C. Design in nature:learning from trees[M].Berlin:Springer,1998:29-35.
[8] MATTHECK C. Design and growth rule for biological structure and their application to engineer[J]. Fatigue and Fracture of Engineering Materials and Structures,1990,13(5):535-550.
[9]丁晓红,程莉.基于SKO方法的满应力结构拓扑优化设计[J].中国机械工程,2009,20(15):1765-1770.