摘要
薄宽带钢的倾斜浪是一种产生机理与解决对策都未知的板形缺陷.通过有限元仿真结合现场实测分析提出了一种倾斜浪产生机理的新解释,并且基于Airy应力函数和Timoshenko最小功原理建立了倾斜浪前屈曲变形的力学模型,获得了其前屈曲应力场分布的表达式;运用伽辽金虚位移原理解法获得了其临界屈曲载荷;推导建立了薄宽带钢倾斜浪的后屈曲摄动求解方法,计算获得的后屈曲模态与有限元计算获得的后屈曲模态符合良好.
The herringbone buckling（double rib buckling） of strips is a kind of serious flatness defect,but little is known about its mechanism of production.A new explanation about herringbone buckling is proposed in this paper.Based on Airy stress function and S.Timoshenko＇s principle of least work,a new mechanical model of herringbone buckling is established,and the prebuckling stress field in the strip is obtained.The critical buckling stress is also obtained by Galerkin＇s principle of virtual displacement.The post-buckling modal shape is obtained with perturbation-variational solution,and is in good agreement with the buckling mode obtained by finite element method.The results of the analysis could be used in prediction of herringbone buckling and its angle of inclination on a strip rolling line.
出处
《力学与实践》
CSCD
北大核心
2010年第1期54-59,36,共7页
Mechanics in Engineering
基金
国家自然科学基金资助项目(50675021)
关键词
倾斜浪
临界应力
屈曲
摄动法
带钢
herringbone buckling critical stress buckling perturbation-variational solution strip
