基于有限质点法的薄壳结构非线性屈曲分析  

Non-linear buckling analysis of thin shell structure based on finite particle method

作　　者：任育辉 濮嘉铭 刘龙[1] REN Yuhui;PU Jiaming;LIU Long(School of Logistics Engineering,Shanghai Maritime University,Shanghai 201306,China)

机构地区：[1]上海海事大学物流工程学院,上海201306

出　　处：《计算机辅助工程》2023年第1期39-45,52,共8页Computer Aided Engineering

基　　金：上海科委创新行动计划重大专项(18DZ1100802)。

摘　　要：为解决薄壳结构非线性屈曲问题,使用无须构建刚度矩阵可以直接求解几何非线性问题的有限质点法,并引入双线性强化模型分析材料的非线性特性,以工字梁为例分析加筋工字梁腹板屈曲过程。结果表明:在集中载荷作用下,载荷较小时加筋工字梁腹板呈现倾角约为45°的半波曲面,随着载荷增加,结构发生侧向变形,出现整体失稳;在局部载荷作用下,随着载荷增加,加筋工字梁腹板最大变形位置从受压段下方的腹板处变化到翼缘板处,结构出现整体失稳。有限质点法能分析结构弹塑性屈曲的全过程,体现有限质点法在分析结构弹塑性屈曲中的优势。To solve the non-linear buckling problem of thin shell structures,the finite particle method,which can directly solve the geometric non-linear problem without building a stiffness matrix,is used to analyze the material non-linear characteristics by introducing bilinear strengthening model.Taking the I-beams as example,the web buckling process of the reinforced I-beam is analyzed.The results show that:under the concentrated load,the I-beam web presents a half-wave surface with an inclination angle of about 45°while the load is small,and with the load increase,the structure undergoes lateral deformation,and the overall instability occurs;under the local load,with the load increase,the web maximum deformation location changes from below the compression section to the flange plate,and the structure lost as overall instability.The finite particle method can analyze the whole process of structural elastic-plastic buckling,which reflects the advantages of the finite particle method on the structural elastic-plastic buckling analysis.

关 键 词：有限质点法 薄壳结构 弹塑性屈曲 几何非线性 

分 类 号：V414.4[航空宇航科学与技术—航空宇航推进理论与工程] TB115.1[理学—数学]