发表机构
Southwest Jiaotong University; China Railway Eryuan Engineering Group Co., Ltd.; Technology and Equipment of Rail Transit Operation and Maintenance Key Laboratory of Sichuan Province, Southwest Jiaotong University; State Key Laboratory of Bridge Intelligent and Green Construction, Southwest Jiaotong University; School of Mechanical and Electrical Engineering, Guang’an Institute of Technology（西南交通大学; 中铁二院工程集团有限责任公司; 四川省轨道交通运维装备重点实验室，西南交通大学; 桥梁智能与绿色建造全国重点实验室，西南交通大学; 广安理工学院机械电气工程学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究悬臂剪切下加筋板屈曲载荷对壳单元应力刚度截断的依赖性，发现不同单元及路径差异显著，并验证了完整二阶变分形式的准确性。
AI 中文摘要
加筋板的线性化屈曲载荷取决于其壳单元组装的应力刚度。我们根据导出的算子，针对二阶变分的三种截断形式对其进行了读取。ANSYS SHELL181的经典路径包含一个将钻孔自由度与弯曲转动配对起来的转动-转动块，而其扰动路径则不包含；移除该块可将扰动载荷因子恢复至0.02%的精度。SHELL281在两条路径中均包含该块及耦合项。Abaqus S4在平动自由度上与完整二阶变分的临界模态匹配度达1.0000，其载荷因子与完整形式相差1.7%，而其他两种形式则分别相差17%和34%。在悬臂剪切作用下的优化面板上，20节点连续体单元在最优网格下比该形式高3%至6%，S4和SHELL281分别比SHELL181两条路径低11%和23%，比Abaqus S8R高25%。在传统加筋板上，SHELL181两条路径分别比完整形式高1.0%和3.5%，在肋距减半时则高9%和21%；在剪切流作用下，对于圆柱壳、开口梁以及轴向压缩情况，三种形式结果一致，各路径差异不超过0.3%。
英文摘要
The linearized buckling load of a stiffened panel depends on the stress stiffness its shell element assembles. We read it from exported operators against three truncations of one second variation. The classic pass of ANSYS SHELL181 carries a rotation-rotation block pairing the drilling freedom with the bending rotations and its perturbation pass does not; removing the block recovers the perturbation load factor to 0.02%. SHELL281 carries block and couplings in both passes. Abaqus S4 matches the critical mode of the complete second variation to 1.0000 on the translations and its load factor to 1.7%, against 17% and 34% for the other two forms. On an optimized panel under cantilevered shear a 20-node continuum lies 3% to 6% above that form, S4 and SHELL281, 11% and 23% below both SHELL181 passes and 25% above Abaqus S8R, at the finest meshes. On a conventionally stiffened panel the SHELL181 passes stand 1.0% and 3.5% above the complete form, 9% and 21% at half the rib pitch; under a shear flow, on cylinders, open beams and under axial compression the three forms coincide and no pass parts by more than 0.3%.
Comments27 pages, 7 figures, 11 tables
