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基于等几何分析和材料场级数展开模型的简谐激励结构拓扑优化
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作者 王培金 刘宏亮 +2 位作者 张业伟 雷振增 杨迪雄 《计算力学学报》 CAS CSCD 北大核心 2024年第5期864-872,共9页
考虑简谐激励的结构拓扑优化具有重要的研究意义和工程应用价值,尤其对于飞速发展的航空航天领域。为了方便优化设计结果的几何特征提取和控制,同时兼顾计算精度、效率和设计迭代稳定性,本文基于等几何分析和材料场级数展开模型发展一... 考虑简谐激励的结构拓扑优化具有重要的研究意义和工程应用价值,尤其对于飞速发展的航空航天领域。为了方便优化设计结果的几何特征提取和控制,同时兼顾计算精度、效率和设计迭代稳定性,本文基于等几何分析和材料场级数展开模型发展一套等几何优化方法用于简谐激励结构拓扑优化。由于等几何分析具有几何建模精确和跨单元高阶连续的特点,在不需要极其细密网格的情况下就可以保证响应分析和灵敏度计算的精度。通过结合材料场级数展开模型,采用降维技术大幅减少了设计参数的数量,提高了设计优化的求解效率,同时能够获得不依赖单元细分且具有清晰几何边界的优化构型。针对动力学拓扑优化可能出现的迭代振荡和不收敛问题,通过采用稳定化方案获得了稳定迭代的收敛设计解。数值算例表明,本文方法能够有效避免灰度模糊区域、锯齿形边界、单元细分依赖性和棋盘格现象等,可以高精度高效率地求解简谐激励结构拓扑优化问题。 展开更多
关键词 等几何分析 拓扑优化 简谐激励 稳定化方案 材料场级数展开模型
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Effects of wind input and wave dissipation formulations on the steady Ekman current solution
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作者 徐俊丽 宋金宝 《Chinese Journal of Oceanology and Limnology》 SCIE CAS CSCD 2014年第3期709-719,共11页
The effects of different wind input and wave dissipation formulations on the steady Ekman current solution are described. Two formulations are considered: one from the wave modeling(WAM) program proposed by Hasselmann... The effects of different wind input and wave dissipation formulations on the steady Ekman current solution are described. Two formulations are considered: one from the wave modeling(WAM) program proposed by Hasselmann and Komen and the other provided by Tsagareli and Babanin. The solution adopted for our study was presented by Song for the wave-modifi ed Ekman current model that included the Stokes drift, wind input, and wave dissipation with eddy viscosity increasing linearly with depth. Using the Combi spectrum with tail effects, the solutions are calculated using two formulations for wind input and wave dissipation, and compared. Differences in the results are not negligible. Furthermore, the solution presented by Song and Xu for the eddy viscosity formulated using the K-Profi le Parameterization scheme under wind input and wave dissipation given by Tsagareli and Babanin is compared with that obtained for a depth-dependent eddy viscosity. The solutions are further compared with the available well-known observational data. The result indicates that the Tsagareli and Babanin scheme is more suitable for use in the model when capillary waves are included, and the solution calculated using the K-Profi le Parameterization scheme agrees best with observations. 展开更多
关键词 Combi spectrum Stokes drift wind input wave dissipation steady Ekman current solution
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