长沙理工大学学报(自然科学版)
考虑自重影响和屈曲约束的结构拓扑优化方法
作者:
作者单位:

(1.长沙理工大学汽车与机械工程学院,湖南长沙 410114;2.长沙理工大学桥梁工程安全控制教育部重点实验室,湖南长沙 410114;3.中国建筑工程集团第五工程局有限公司,湖南长沙 410004)

作者简介:

李方义(1978-),男,副教授,主要从事结构优化方面的研究。

通讯作者:

李方义(1978-),男,副教授,主要从事结构优化方面的研究。

中图分类号:

TH122

基金项目:

国家自然科学基金资助项目(11772070);湖南省自然科学基金资助项目(2019JJ40296);长沙理工大学桥梁工程安全控制教育部重点实验室开放基金资助项目(19KB06);长沙理工大学青年教师成长计划项目(2019QJCZ032);中国建筑第五工程局有限公司科研项目(3030402)


A structural topology optimization method considering self-weight influences and buckling constraints
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Affiliation:

(1.School of Automobile and Mechanical Engineering,Changsha University of Science & Technology,Changsha 410114,China;2.Key Laboratory of Bridge Engineering Safety Control of Ministry of Education,Changsha University of Science & Technology,Changsha 410114,China;3.China Construction Fifth Engineering Division Corp.,Ltd.,Changsha 410004,China)

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    摘要:

    为综合解决考虑自重影响和屈曲约束的结构拓扑优化问题,提出一种新的拓扑优化设计方法。首 先,针对优化过程中低密度区域的伪屈曲模态问题和自重引起的寄生效应问题,同时为了减少计算量,提出 了改进的材料惩罚模型,并引入伪屈曲模态的识别和删除措施。其次,为克服常规应力单元的应力刚化问 题,采用混合应力单元对结构应力进行了精确评估。基于密度过滤及 Heaviside三场映射方案,建立了目标 函数为考虑自重影响的结构柔顺度最小、满足屈曲和体积主动约束的拓扑优化模型。利用伴随变量法对屈 曲约束的灵敏度进行了推导,并采用移动渐近线 (methodofmovingasymptotes,MMA)算法对模型进行了 优化求解。最后,通过算例说明了本研究方法的正确性和可行性。

    Abstract:

    In order to improve the service performance of the SiCp/Al composite materials, the method of ultraviolet laser etching combined with hydrochloric acidcorrosion was used to construct the two-level microstructures on the surfaces of the composite material samples,and the super-hydrophobic functional surfaces were prepared after low surface energy treatment.The micro morphology,composition,hydrophobicity,corrosion resistance, temperature stability and wear resistance of the super-hydrophobic functional surfaces of the prepared SiCp/Al composite materials were studied by using them icroscopy system,the instruments of scanningel ectron microscope(SEM),energy dispersive spectrometer(EDS), contact angle measurement etc.,and the methods of the electrochemistry test,temperature cycle test,frictiontest,etc.The test results show that the prepared samples possess good superhy drophobic properties.The contact angle of the sample with 10μm particlesize reaches163.8°,and its sliding angle is less than 1°.The prepared samples have excellent corrosion resistance,antifouling property,temperature stability,and certain wear resistance.Meanwhile,the larger the SiC particles ize,the more difficult the laser etching,and the better the corrosion resistance of the samples.The particle size also has little effecton the antifouling property,temperature stability and wear resistance of the samples.

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引用本文

李方义,卢志宏,易继军,等.考虑自重影响和屈曲约束的结构拓扑优化方法[J].长沙理工大学学报(自然科学版),2021,18(3):97-104.
LI Fang-yi, LU Zhi-hong, YI Ji-jun, et al. A structural topology optimization method considering self-weight influences and buckling constraints[J]. Journal of Changsha University of Science & Technology (Natural Science),2021,18(3):97-104.

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  • 在线发布日期: 2022-03-05
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