Graduate Aerospace Laboratories, California Institute of Technology, 1200 E California Blvd, Pasadena, CA 91125, USA.
Philos Trans A Math Phys Eng Sci. 2023 Apr 3;381(2244):20220024. doi: 10.1098/rsta.2022.0024. Epub 2023 Feb 13.
This paper studies the stability of space structures consisting of longitudinal, open-section thin-shells transversely connected by thin rods subjected to a pure bending moment. Localization of deformation, which plays a paramount role in the nonlinear post-buckling regime of these structures and is extremely sensitive to imperfections, is investigated through probing experiments. As the structures are bent, a probe locally displaces the edge of the thin shells, creating local dimple imperfections. The range of moments for which the early buckling of the structures can be triggered by this perturbation is determined, as well as the energy barrier separating the pre-buckling and post-buckling states. The stability of the local buckling mode is then illustrated by a stability landscape, and probing is extended to the entire structure to reveal alternate buckling modes disconnected from the structure's fundamental path. These results can be used to formulate efficient buckling criteria and pave the way to operating these structures close to their buckling limits, and even in their post-buckling regime, therefore significantly reducing their mass. This article is part of the theme issue 'Probing and dynamics of shock sensitive shells'.
本文研究了由纵向、开口薄壁壳和横向连接的细杆组成的空间结构在纯弯矩作用下的稳定性。通过探测实验研究了变形局部化,这在这些结构的非线性后屈曲阶段起着至关重要的作用,并且对缺陷非常敏感。随着结构的弯曲,探针局部地使薄壳的边缘移动,从而产生局部凹陷缺陷。确定了可以通过这种扰动触发结构早期屈曲的弯矩范围,以及分隔预屈曲和后屈曲状态的能量势垒。然后通过稳定性景观图来说明局部屈曲模式的稳定性,并将探测扩展到整个结构,以揭示与结构基本路径不相关的交替屈曲模式。这些结果可用于制定有效的屈曲准则,并为在接近屈曲极限甚至在后屈曲阶段操作这些结构铺平道路,从而显著减轻它们的质量。本文是“冲击敏感壳的探测和动力学”主题的一部分。