摘要
翻转管作为一种理想的防碰撞吸能元件在工程设计、航空航天等领域有着很广泛的应用.研究了由一类可压缩超弹性材料组成的薄壁圆柱管的翻转有限变形问题,并将其归结为求解一类二阶非线性常微分方程边值问题.由于无法得到该边值问题的解析解,并且传统的数值求解方法也不适用,提出一种改进的打靶法对其进行有效数值求解,并分析解的定量行为.数值结果显示翻转后圆柱管厚度和轴向伸长率随着初始厚度的增大而增大,且圆柱管处于压缩状态;轴向伸长率随着泊松比的增大而减小.此外,还与不可压缩材料的圆柱管翻转问题进行了对比.
The everted tubes,which can be regarded as an ideal anti-collision energy absorbing component,are widely applied to engineering design,aerospace and many other fields of real life.The problem of finite deformation is examined for a thin-walled everted cylindrical tube composed of a class of compressible hyperelastic materials,and then it is described as a class of boundary value problems （BVPs）of a certain second-order nonlinear ordinary differential equation （ODE）.Since the exact solution can not be obtained,and the classical numerical methods are not suitable,a modified shooting method is proposed to solve this class of BVPs effectively,and the quantitative behaviors of the solutions are analyzed.The numerical results reveal the thickness and the axial stretch rate of the everted cylindrical tube increase with the increasing initial thickness,and the cylindrical tube is in the state of compression;the axial stretch rate decreases with the increasing Possio＇s ratio.Moreover, the obtained conclusions are also compared with those for the incompressible cases.
出处
《大连理工大学学报》
EI
CAS
CSCD
北大核心
2016年第4期331-334,共4页
Journal of Dalian University of Technology
基金
辽宁省教育厅省高校优秀人才支持计划资助项目(LR2012044)
中央高校基本科研业务费专项资金资助项目(DC201502050203)
关键词
可压缩超弹性材料
圆柱管
翻转
改进打靶法
compressible hyperelastic material
cylindrical tube
eversion
modified shooting method
