航空轮胎帘线增强橡胶复合材料数学建模  

MATHEMATICAL MODELING OF CORD REINFORCED RUBBER COMPOSITE FOR AIRCRAFT TIRE

作　　者：白建涛 郭会强 王斌 霍富昌 单瑞彤 卢宇源[3] 左文杰 张然[1] Bai Jiantao;Guo Huiqiang;Wang Bin;Huo Fuchang;Shan Ruitong;Lu Yuyuan;Zuo Wenjie;Zhang Ran(School of Mathematics,Jilin University,Changchun 130012,China;School of Mechanical and Aerospace Engineering,Jilin University,Changchun 130025,China;ChangChun Institute of Applied ChemistryChinese Academy of Sciences,Changchun 130022,China)

机构地区：[1]吉林大学数学学院,长春130012 [2]吉林大学机械与航空航天工程学院,长春130025 [3]中国科学院长春应用化学研究所,长春130022

出　　处：《数值计算与计算机应用》2025年第1期60-72,共13页Journal on Numerical Methods and Computer Applications

基　　金：国家自然科学基金项目(22341302,12172148);吉林省科技发展计划项目(20240601053RC);国家重点研发计划(2023YFA1008803)资助。

摘　　要：航空轮胎是决定飞机起降安全的关键部件,被誉为轮胎工业“皇冠上的明珠”.航空轮胎设计是我国的“卡脖子”技术难题,亟待突破航空轮胎结构数学建模与CAE工业软件开发.航空轮胎结构主要由帘线增强橡胶复合材料构成,需要满足复杂的服役工况.因此,本文开展了航空轮胎帘线增强橡胶复合材料数学建模方法的研究,针对复合材料变形特点,提出了帘线增强橡胶复合材料建模方法,建立了帘线与橡胶结构的内埋约束关系.推导了橡胶结构与帘线结构的有限元方程,开发了航空轮胎结构设计工业软件SuperTire,实现了航空轮胎充气分析,并通过航空轮胎数值算例验证了建模精度与求解效率.Aircraft tires are crucial safety components during the takeoff and landing phases,which are widely recognized as the“crown jewel”of the tire industry.The design of aircraft tires is a“bottleneck”technical problem in our country.It is urgent to solve the mathematical modeling and CAE industrial software development.The aircraft tire is mainly composed of cord reinforced rubber composites,which needs to meet the complex conditions.Therefore,this paper studies the mathematical modeling of cord reinforced rubber composite for aircraft tire.According to the deformation characteristics of cord reinforced rubber composites,a modeling method of cord reinforced rubber composite is proposed to establish the embedded constraint relationship between cord and rubber structure.The finite element equations are derived for the rubber and cord structures,which are implemented in the industrial software of aircraft tire SuperTire to realize the inflation analysis.Numerical examples of aircraft tires demonstrate the modeling accuracy and solving efficiency.

关 键 词：航空轮胎 帘线增强橡胶 数学建模 有限元模型 

分 类 号：TQ3[化学工程]