粗糙表面接触刚度模型的研究进展  

Research Progress of Contact Stiffness Models for Rrough Surfaces

作　　者：艾延廷 解松霖 刘玉 田晶 赵丹 刘俊男 AI Yan-ting;XIE Song-lin;LIU Yu;TIAN Jing;ZHAO Dan;LIU Jun-nan(School of Aeroengine,Shenyang Aerospace University,Shenyang 100136,China;Liaoning Key Laboratory of Advanced Measurement and Test Technology for Aircraft Propulsion System,Shenyang 100136,China;AECC Sichuan Gas Turbine Establishment,Chengdu 610550,China)

机构地区：[1]沈阳航空航天大学航空发动机学院,沈阳100136 [2]辽宁省航空推进系统先进测试技术重点实验室,沈阳100136 [3]中国航发四川燃气涡轮研究院,成都610550

出　　处：《航空发动机》2022年第6期82-91,共10页Aeroengine

基　　金：国家自然科学基金(11702177);辽宁省自然科学基金(2020-BS-174);辽宁省教育厅项目(JYT2020019)资助。

摘　　要：航空发动机结构存在许多机械结合面,这些结合面间的接触在微观尺度上是各粗糙峰的接触,而由粗糙峰接触所产生的接触刚度具有随机性,开展粗糙表面接触刚度模型研究,对有效分析发动机部件和整机结构的动力特性及其稳定性与可靠性至关重要。主要从统计学和分形理论两方面归纳了粗糙表面接触刚度模型的建模方法。基于统计学的粗糙表面接触刚度模型描述简单明了,且能极大程度缩短求解过程;利用分形理论所描述的物体形貌特征不受空间的束缚,更接近客观物体的真实属性与状态。重点对接触刚度的计算过程进行了详细阐述。研究表明,目前粗糙表面接触刚度模型主要采用统计学描述与分形描述的解析模型,统计学描述接触刚度模型日渐成熟与完善,分形接触刚度模型能定量表达总的接触刚度与粗糙度的关系。但解析模型未考虑微尺度效应及材料基体变形对微凸体变形的影响,未来对基于纳米级粗糙表面接触刚度模型、考虑基体变形的粗糙表面接触刚度模型进行研究将具有重要意义,考虑微观接触的宏观接触有限元模型可弥补解析模型的不足,将成为研究热点。There are many mechanical joint surfaces in the aeroengine structure. The contact between the mechanical joint surfaces is the contact of various rough peaks on a microscopic scale. The contact stiffness produced by the contact of the rough peaks exhibits randomness. The research on the contact stiffness model of rough surfaces has a crucial impact on the structural stability and reliability of the aeroengine components and the complete machine. This paper mainly summarizes the modeling method of rough surfaces contact stiffness model from statistical description and fractal theory. The statistical description of rough surfaces characterization process is simple and clear,and can greatly shorten the solution process. The morphology features described by fractal theory are not bound by space and are closer to the real properties and states of the objects under research. This paper focuses on the calculation of contact stiffness in detail. The research shows that the current rough surfaces contact stiffness model mainly adopts the analytical model of statistical description and fractal description. The statistical description contact stiffness model is becoming mature and perfect, and the fractal contact stiffness model can quantitatively express the relationship between the total contact stiffness and roughness. However, the analytical model does not consider the microscale effect and the influence of substrate deformation on the deformation of the asperities. Future research on nanoscopic rough surfaces contact stiffness model and contact stiffness model of rough surfaces considering substrate deformation will be of great significance. The macro contact finite element model considering the microscopic scale contact can complement the deficiency of the analytical model and will become a research hotspot.

关 键 词：粗糙表面 统计分析 分形理论 接触刚度建模 航空发动机 

分 类 号：V214.32[航空宇航科学与技术—航空宇航推进理论与工程]