郝贠洪,张飞龙,宣姣羽,刘艳晨.涂层风沙冲蚀损伤表面分形维数预测模型[J].表面技术,2022,51(4):127-138, 156.
HAO Yun-hong,ZHANG Fei-long,XUAN Jiao-yu,LIU Yan-chen.Fractal Dimension Prediction Model of Coating Damage Surface by Wind-sand Erosion[J].Surface Technology,2022,51(4):127-138, 156
涂层风沙冲蚀损伤表面分形维数预测模型
Fractal Dimension Prediction Model of Coating Damage Surface by Wind-sand Erosion
投稿时间:2021-04-19  修订日期:2021-08-30
DOI:10.16490/j.cnki.issn.1001-3660.2022.04.012
中文关键词:  风沙冲蚀  形貌  分形维数  赫兹接触理论  分形分布理论  预测模型
英文关键词:wind-sand erosion  morphology  fractal dimension  Hertz contact theory  fractal distribution theory  prediction model
基金项目:国家自然科学基金(11862022);内蒙古自治区自然科学基金项目(2018MS0547);内蒙古自治区青年科技英才支持计划(NJYT-17-A09)
作者单位
郝贠洪 内蒙古工业大学 土木工程学院,呼和浩特 010051 ;内蒙古工业大学内蒙古自治区土木工程结构与力学重点试验室,呼和浩特 010051 ;内蒙古自治区建筑检测鉴定与安全评估工程技术研究中心,呼和浩特 010051 
张飞龙 内蒙古工业大学 土木工程学院,呼和浩特 010051 
宣姣羽 内蒙古工业大学 理学院,呼和浩特 010051 
刘艳晨 内蒙古工业大学 理学院,呼和浩特 010051 
AuthorInstitution
HAO Yun-hong School of Civil Engineering, Hohhot 010051, China ;The Inner Mongolia Key Laboratory of Civil Engineering Structure and Mechanics, Hohhot 010051, China ;The Inner Mongolia Research Center for Building Inspection, Identification and Safety Assessment, Hohhot 010051, China 
ZHANG Fei-long School of Civil Engineering, Hohhot 010051, China 
XUAN Jiao-yu School of Science, Inner Mongolia University of Technology, Hohhot 010051, China 
LIU Yan-chen School of Science, Inner Mongolia University of Technology, Hohhot 010051, China 
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中文摘要:
      目的 建立涂层风沙冲蚀损伤表面分形维数预测模型,重构冲蚀损伤表面形貌,为涂层风沙冲蚀损伤表面形貌研究提供基础。方法 进行了聚氨酯防腐面漆涂层风沙冲蚀损伤试验,建立了多粒径粒子冲击模型,利用赫兹接触理论求解冲击损伤面积及其分布概率,分析表面损伤的演化规律得到损伤面积增长迭代关系式,结合分形分布理论求解损伤表面分形维数,分析不同参数对理论模型的影响。利用理论模型重构损伤表面形貌、预测表面分形维数并与试验结果进行对比分析。结果 冲蚀试验中,随冲蚀时间、角度的增加,随机均匀分布的损伤区域逐渐叠加联通,分形维数也随之增大;表面分形维数存在最大值,斜角度下单粒子冲击损伤区域为彗星形。理论模型中,主导粒子粒径越大,分形维数初期增长速度越慢;冲击损伤面积越大,分形维数初期增长速度越快;损伤尺度系数越大,分形维数最大值越大;冲蚀前损伤面积越大,初始分形维数越大。对比理论模型与试验结果,重构损伤表面形貌损伤演化规律与试验结果相似,表面形貌余弦相似性及分形维数相关性系数均大于0.9。结论 通过分析固体粒子冲蚀现象特点和试验结果,发现风沙冲蚀是非线性的反馈的动力学系统,涂层冲蚀表面形貌具有迭代的损伤演化过程。基于此建立涂层风沙冲蚀损伤表面分形维数预测模型,可利用风沙流参数有效预测不同冲蚀时间下损伤表面分形维数、重构损伤表面形貌。理论模型预测结果与试验结果具有较高的相似性,可以为涂层风沙冲蚀损伤表面形貌研究提供基础。
英文摘要:
      In this paper, the fractal dimension prediction model of coating damage surface by wind-sand erosion was established, and the erosion damage surface morphology was reconstructed, which provides the basis for the study of coating wind-sand erosion damage surface morphology. The sand erosion damage test of polyurethane anticorrosive topcoat coating was carried out, the impact model of multi-particle was established, particle impact damage area and distribution probability were solved by using the Hertz contact theory. By described the evolution law of surface damage, the iterative relationship of the increase of damage area was obtained. And combined with the theory of fractal distribution, the fractal dimension of damaged surface was solved. Finally, analyzes the influence of different parameters on the theoretical model, The theoretical model was used to reconstruct the surface morphology of erosion damage, predict the fractal dimension of damage surface, and compared it with experimental results. In the erosion experiment, with the increase of erosion time and angle, the random and evenly distributed damage areas will overlap and connect with each other, and the fractal dimension will also increase. The surface fractal dimension has a maximum value, and the single-particle impact damage area under oblique angle is a comet. In the theoretical model, the larger the dominant particle size, the slower the initial growth rate of the fractal dimension. The larger the impact damage area, the faster the growth rate of the fractal dimension. The larger the damage scale factor, the larger the maximum value of the fractal dimension. The larger the damage area before erosion, the larger the initial fractal dimension. Comparing the theoretical model with the experimental results, the damage evolution law of the reconstructed damage surface morphology was similar to the experimental results, and the cosine similarity of surface topography and the correlation coefficient of fractal dimension were both greater than 0.9. By analyzing the characteristics of solid particle erosion and experimental results, it was found that wind-sand erosion is a nonlinear feedback dynamic system, and coating erosion surface morphology has iterative damage evolution process. Based on this, the fractal dimension prediction model of coating wind-sand erosion damage surface was established. The wind-sand flow parameters can be used to effectively predict the fractal dimension of the damage surface and reconstruct the damage surface morphology under different erosion time. The predicted results of the theoretical model have a high similarity with the experimental results, which can provide a basis for the study of the surface morphology of wind-sand erosion damage.
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