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Orthotropy as a driver for complex stability phenomena in cylindrical shell structures

机译：正交各向异性作为圆柱壳结构中复杂稳定性现象的驱动因素

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摘要

By applying a quasi-static transverse load, shallow cylindrical shells can be snapped between two inverted stable states. This dynamic transition, initiated at either a limit point (fold) or a subcritical bifurcation, traverses a region of instability. The ensuing large displacements are attractive for shape adaptation of multi-functional engineering structures. Previous research on isotropic cylindrical shells has indicated the presence of isolated regions of stability in the otherwise unstable transition region. While these regions are theoretically attractive for multi-stage snap-morphing, they are difficult to attain in practice by means of a single control parameter. In this paper, we study the effect of orthotropic material properties on the structural stability and snap-through behavior of shallow cylindrical shells. In addition, we explore complex stability phenomena created by material orthotropy, which are attractive for multi-stage morphing. The problem is analyzed in a robust manner using a technique known as generalized path-following, which combines the mathematical domains of finite element analysis and numerical continuation. The present study shows, in particular, that laminates comprising layers of different directional material properties provide the ability to tailor the elastic bifurcation behavior of cylindrical shells. For example, the lamination scheme can be varied to add isolated regions of stability or entirely remove them; to induce snaking that allows transitioning between the two inverted cylindrical shapes through a series of snaps; and finally, to create groupings of multiple unique stable configurations that can be attained via additional shape control.
机译：通过施加准静态横向载荷，浅圆柱壳可以卡在两个倒置的稳定状态之间。从极限点（折点）或亚临界分叉处开始的这种动态过渡会穿越不稳定区域。随之而来的大位移对于多功能工程结构的形状适应具有吸引力。对各向同性圆柱壳的先前研究表明，在否则不稳定的过渡区域中存在孤立的稳定区域。尽管这些区域在理论上对多阶段捕捉变形很有吸引力，但实际上很难通过单个控制参数来实现。在本文中，我们研究了正交各向异性材料特性对浅圆柱壳的结构稳定性和快速击穿行为的影响。此外，我们探索了由材料正交性产生的复杂稳定性现象，这种现象对于多阶段变形具有吸引力。使用称为通用路径跟踪的技术以健壮的方式分析了该问题，该技术结合了有限元分析和数值连续化的数学域。本研究尤其表明，包含不同方向材料特性的层的层压板提供了定制圆柱壳的弹性分叉行为的能力。例如，可以改变层压方案以增加隔离的稳定区域或将其完全去除；诱发蛇行，使蛇行通过一系列的按扣在两个倒置的圆柱形状之间过渡；最后，创建可以通过其他形状控制获得的多个独特稳定配置的分组。

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  • 来源
    《Composite Structures》 |2018年第8期|63-72|共10页
  • 作者

    Groh R. M. J.; Pirrera A.;

  • 作者单位

    Univ Bristol, Univ Walk, Bristol Composites Inst ACCIS, Queens Bldg, Bristol BS8 1TR, Avon, England;

    Univ Bristol, Univ Walk, Bristol Composites Inst ACCIS, Queens Bldg, Bristol BS8 1TR, Avon, England;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Multi-stability; Bifurcations; Nonlinearity; Composites; Morphing;

    机译：多稳定性;分叉;非线性;复合材料;变形;

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