任意角度复合材料厚壁管的轴对称问题分析方法  

A method to analyze the axially symmetric problem of composite thick tubes with arbitrary angles

作　　者：顾付伟 朱晓磊[1] 陆晓峰[1] 刘杨 方岱宁 李鲤 GU Fuwei;ZHU Xiaolei;LU Xiaofeng;LIU Yang;FANG Daining;LI Li(School of Mechanical and Power Engineering,Nanjing Tech University,Nanjing 211816,China;Institute of Advanced Structure Technology,Beijing Institute of Technology,Beijing 100081,China;China Ship Development and Design Center,Shanghai 201108,China)

机构地区：[1]南京工业大学机械与动力工程学院,南京211816 [2]北京理工大学先进结构技术研究院,北京100081 [3]中国船舰研究设计中心,上海201108

出　　处：《复合材料学报》2022年第2期802-811,共10页Acta Materiae Compositae Sinica

基　　金：国家自然科学基金面上项目(11772147);国家自然科学基金国家重大科研仪器研制项目(12027901);江苏省高校自然科学研究重大项目(20KJA460001);江苏省自然科学基金青年项目(BK20200706)。

摘　　要：提出了一种任意角度复合材料厚壁管的轴对称问题的分析方法。传统的Lekhnitskii理论能够获得普通缠绕层复合材料厚壁管的精确弹性解,但是,当厚壁管内存在0°缠绕层或者各项同性材料层时,该两种特殊层都会出现奇异参数,从而导致特殊层与普通层界面的连续性条件不能被满足。因此,讨论了特殊层存在奇异参数的原因,并对这类参数进行连续性分析和极限计算,从而解决了参数奇异的问题,使Lekhnitskii理论的应用范围扩展到任意缠绕角的复合材料厚壁管。最后,通过有限元计算软件ABAQUS分析了不同复合材料组合管的力学响应,有限元计算结果与改进理论结果基本一致。A method was proposed to analysis the axisymmetric problem of composite tubes made up of winding layers with arbitrary angles.The traditional Lekhnitskii theory can obtain the exact elastic solution of the thick composite tubes with common winding layers.However,when there are 0°winding layers or isotropic layers in the thick walled tubes,singular parameters will appear in the both special layers.And the discontinuity condition between the special layer and the common layer could not be satisfied.Therefore,the reasons for the existence of singular parameters in special layers were discussed.Then,the continuity analysis and limit calculation of these parameters were carried out,so that the problem of parameter singularity was solved and the application of Lekhnitskii theory was extended to composite thick tubes with arbitrary angles.Finally,the mechanical responses of different composite tubes were analyzed by ABAQUS,and the results of finite element calculation were basically consistent with the developed theoretical results.

关 键 词：复合材料 轴对称问题 缠绕角 厚壁管 理论分析 

分 类 号：TB330.1[一般工业技术—材料科学与工程]