一种平纹编织复合材料的三维通用单胞模型  

A 3D general method of cells model for plain weave composites

作　　者：胡殿印 杨尧 郭小军 张龙[1] 王荣桥[1,2,3] HU Dianyin;YANG Yao;GUO Xiaojun;ZHANG Long;WANG Rongqiao(School of Energy and Power Engineering,Beijing University of Aeronautics and Astronautics,Beijing 100191,China;Beijing Key Laboratory of Aero-Engine Structure and Strength,Beijing University of Aeronautics and Astronautics,Beijing 100191,China;Collaborative Innovation Center for Advanced Aero-Engine,Beijing 100191,China;Hunan Aviation Powerplant Research Institute,Aero Engine Corporation of China,Zhuzhou Hunan 412002,China)

机构地区：[1]北京航空航天大学能源与动力工程学院,北京100191 [2]北京航空航天大学航空发动机结构强度北京市重点实验室,北京100191 [3]先进航空发动机协同创新中心,北京100191 [4]中国航空发动机集团有限公司湖南动力机械研究所,湖南株洲412002

出　　处：《航空动力学报》2019年第3期608-615,共8页Journal of Aerospace Power

基　　金：国家自然科学基金(51811540406;51675024);航空动力基金(6141B090314)

摘　　要：为了解决采用通用单胞(GMC)方法开展编织复合材料多尺度模拟的技术难题,发展了一种三维通用单胞模型,可用于二维平纹编织复合材料的多尺度模拟。概述了三维通用单胞方法的基本理论和求解流程;基于对二维平纹编织复合材料细观结构特征分析,建立了其三维通用单胞模型,并通过与传统有限元单胞模型的宏细观力学响应分析计算结果对比,验证了所建模型的正确性。采用基于通用单胞模型的有限元多尺度模拟方法,开展了二维平纹编织复合材料平板试件的模态分析。与试验结果对比表明,采用所建立的通用单胞模型预测得到的前五阶固有频率绝大部分的精度较传统有限元方法有了明显提升。该方法的优势在于可以基于通用单胞模型开展多尺度模拟,进而研究宏细观力学响应的相互关联。In order to solve the technical difficulty of applying the general method of cells(GMC)to develop braided composites’multiscale simulation,a 3D GMC model used to multiscale simulation for 2D plain weave composites were developed.The basic theory and solution flow of the 3D GMC were outlined.Then,on the basis of the study on the mesostructural characteristics of 2D plain weave composites,its 3D GMC model was established.The correctness of the model was verified by comparison with the caculated macro-and mesomechanical responses of the traditional finite element unit cell model.The GMC-based finite element multiscale simulation was performed on the modal analysis of 2D plain weave composites flat specimen.The test data revealed that the accuracy of the most of the first five natural frequencies predicted by the GMC model was significantly improved compared with the traditional finite element method.The advantage of this study is that multiscale simulation can be performed on the basis of the proposed 3D GMC model,helping to reveal the interaction between macro-and meso-mechanical response.

关 键 词：复合材料 平纹编织 多尺度模拟 模态分析 通用单胞模型 

分 类 号：V214.8[航空宇航科学与技术—航空宇航推进理论与工程]