细长压杆二阶屈曲临界态的数值模拟  

Numerical simulation of secondary mode for compressed smart slender rod

作　　者：汪洋[1] 姜建华[1] 

机构地区：[1]同济大学航空航天与力学学院,上海200092

出　　处：《应用力学学报》2016年第5期744-748,930,共5页Chinese Journal of Applied Mechanics

基　　金：同济大学教改项目(同教改1330104092)

摘　　要：竹子轻盈坚韧的特性源自于竹子特殊的天然构造。根据对竹子构造观察所获得的启示,认识到细长压杆二阶屈曲的物理存在性,并通过数值模拟技术加以验证。针对细长压杆潜在的屈曲多向性,设计了一种含有双向引导槽的细长压杆,当杆件受到轴向压力时可以沿着二阶屈曲方向自动产生微曲,继而对细长压杆的二阶屈曲临界态进行探讨和数值模拟,从而进一步从物理角度揭示了细长压杆二阶屈曲临界态的潜在性。计算机数值模拟结果表明:两端铰支二阶屈曲态细长压杆的临界力为一阶屈曲态临界力的3.24倍;经过特殊设计的智能压杆可以自动向着压杆二阶曲线形态屈曲,从而大幅提了高细长压杆的临界压力。关注和挖掘细长压杆高阶屈曲的潜能对某些需使用昂贵材料制作压杆的特殊领域而言,可以大大降低工程成本,并具有着很好的启示意义。As a slender rod, the bamboo grows so specially that its body can automatically bend in the shape of high buckling mode, which reminds us that it is necessary to consider the physical potential existence of second or higher buckling mode of bamboo rod. An intelligent slender rod which can automatically bend in the shape of second buckling mode is designed, and the numerical simulation of second buckling mode for compressed slender rod is further made in this paper. As the appearing of various intelligent materials, the rod is so specially designed that the rod can automatically bend in the shape of high mode buckling, the buckling load for compressed intelligent slender rod will increase greatly.

关 键 词：压杆稳定 屈曲引导槽 二阶屈曲 临界压力 高阶屈曲 

分 类 号：O341[理学—固体力学]