摘要
针对一类天然纤维增强复合(natural fiber reinforced composite,NFRC)圆柱壳的屈曲问题展开研究,基于Reissner壳体理论和辛方法,建立了轴压NFRC圆柱壳在Hamilton体系下的屈曲控制方程.将原问题归结为辛空间下的辛本征问题,通过求解辛本征值和本征解可以直接获得高精度的临界载荷和解析的屈曲模态.数值算例分析了NFRC材料的吸湿老化过程对辛本征解表达式的影响,并详细讨论了老化时间、纤维含量和几何参数对NFRC圆柱壳屈曲行为的影响.
The buckling analysis of natural fiber reinforced(NFRC) cylindrical shells was performed based on Reissner’s shell theory and the symplectic approach.The governing buckling equations for axially-compressed NFRC cylindrical shells were established in the Hamiltonian system.Therefore,the original problem was reduced to a symplectic eigenproblem in the symplectic space.Accurate critical loads and analytical buckling mode shapes were directly obtained from the symplectic eigenvalues and eigensolutions.With numerical examples,the effects of hygroscopic aging on the expressions of eigensolutions were investigated.In addition,the influences of the aging time,the fiber content and the geometric parameters on the buckling behavior of NFRC cylindrical shells were discussed in detail.
作者
张俊霖
倪一文
李庆东
仝真真
周震寰
徐新生
ZHANG Junlin;NI Yiwen;LI Qingdong;TONG Zhenzhen;ZHOU Zhenhuan;XU Xinsheng(State Key Laboratory of Structural Analysis oflndustrial Equipment,Department ofEngineering Mechanics,Dalian University of Technology,Dalian,Liaoning 116024,P.R.China;MOE Key Laboratory of Impact and Safety Engineering,Faculty of Mechanical Engineering&Mechanics,Ningbo University,Ningbo,Zhejiang 315211,P.R.China;College of Locomotive and Rolling Stock Engineering,Dalian Jiaotong University,Dalian,Liaoning 116028,P.R.China)
出处
《应用数学和力学》
CSCD
北大核心
2021年第12期1238-1247,共10页
Applied Mathematics and Mechanics
基金
国家自然科学基金(12002071)
中国航空科学基金(2018ZC63003)。
关键词
辛方法
圆柱壳
临界载荷
屈曲
天然纤维增强复合材料
湿热老化
symplectic method
cylindrical shell
critical load
buckling
natural fiber reinforced material
hygrothermal aging
