A Configuration-Space Interrogation Approach to the Understanding and Design of Critical Load-Bearing Structures Susceptible to Buckling

用于理解和设计易受屈曲影响的关键承载结构的配置空间询问方法

• 批准号: 1926672
• 负责人: Lawrence Virgin
• 金额: $ 37.64万
• 依托单位: Duke University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2019
• 资助国家: 美国
• 起止时间: 2019-08-15 至 2023-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1926672&HistoricalAwards=false
• 关键词: Configuration; Space; Interrogation; Approach; Understanding

Predicting the load that a structure can safely withstand before it collapses is challenging. During its useful life-time, a structure is expected to perform within an often severe, and changing environment, whether this is a solid-rocket booster during lift-off; a multi-story building during an earthquake; a grain silo during strong winds; an aircraft wing during turbulence; or an ocean submersible subject to great pressure at depth. The failure of slender cylindrical structures, in particular, is sensitively dependent on small changes in geometry, and when they do fail, usually due to buckling, it is often a sudden and catastrophic event. Due to their unpredictable behavior, they are typically over-designed. This award supports the development of an innovative approach to understanding the buckling of slender structures in general, and hollow cylindrical structures in particular. A more rational basis for assessing load-carrying capability, including appropriate safety factors, will allow more accurate predictions to be made concerning the anticipated useful lifetime of a given structure resulting in tremendous savings. This research is also important for optimizing component replacement, scheduling maintenance based on deteriorating performance, and minimizing material usage. Economic designs and the prevention of disaster are long-term benefits of the research. During the conduct of this research, graduate and undergraduate students will learn a variety of skills including structural testing, mathematical modeling, additive manufacturing, experimental design, and data analysis. Since hollow cylinders are widely used as containers, ranging from soda cans to pipelines to pressurized aircraft fuselages, this project has important impact on national defense and prosperity.Testing thin cylinders under axial load typically leads to large scatter in the measured buckling load. This has led engineers to rely on relatively conservative design guidelines based on empirical ?knockdown? factors. Rather than trying to predict the exact load at which a highly nonlinear structure will buckle, the major goal of the new approach is to assess the robustness of a structure to shocks or disturbances: a form of configuration-space interrogation. The identification of unstable equilibrium states, and their avoidance, is a key feature of the new stability criteria. 3D-printing will be used extensively. The geometric precision and versatility of 3D-printing is ideally suited to producing a range of high-resolution cylinders that will be thoroughly tested in the laboratory. Numerical simulations will also be conducted for verification purposes. The fundamental knowledge gained in this research will provide an important contribution to the understanding of structural stability and ultimately guide the design and use of critical load-bearing elements.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

预测一个结构在倒塌之前能够安全承受的载荷是一项挑战。在其使用寿命期间，一个结构预计将在通常严峻且不断变化的环境中发挥作用，无论是在发射期间的固体火箭助推器；地震时的多层建筑；强风时的粮仓；湍流中的机翼；或者是在深海中承受巨大压力的海洋潜水器。特别是细长的圆柱形结构的破坏，敏感地依赖于几何形状的微小变化，当它们发生破坏时，通常是由于屈曲，这往往是一个突然和灾难性的事件。由于它们不可预测的行为，它们通常是过度设计的。该奖项支持了一种创新方法的发展，以理解一般细长结构的屈曲，特别是空心圆柱形结构。评估承载能力的更合理的基础，包括适当的安全因素，将允许对某一结构的预期使用寿命作出更准确的预测，从而节省大量费用。该研究对于优化部件更换、基于性能恶化的维护计划以及最小化材料使用也具有重要意义。经济设计和预防灾害是研究的长期效益。在进行这项研究的过程中，研究生和本科生将学习各种技能，包括结构测试，数学建模，增材制造，实验设计和数据分析。由于从汽水罐到管道再到飞机增压机身，中空钢瓶被广泛用作容器，因此该项目对国防和繁荣具有重要影响。在轴向载荷下测试薄圆柱体通常会导致测量的屈曲载荷出现较大的散射。这导致工程师们依赖于基于经验的相对保守的设计准则。的因素。新方法的主要目标是评估结构对冲击或干扰的鲁棒性，而不是试图预测高度非线性结构将发生弯曲的确切载荷：一种构型空间询问形式。不稳定平衡状态的识别和避免是新稳定性准则的一个关键特征。3d打印将得到广泛应用。3d打印的几何精度和多功能性非常适合生产一系列高分辨率圆柱体，这些圆柱体将在实验室中进行彻底测试。还将进行数值模拟以进行核查。在本研究中获得的基础知识将为理解结构稳定性提供重要贡献，并最终指导关键承重元件的设计和使用。该奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

项目成果

Experiments on Probing the Configuration Space of Post-Buckled Panels

• DOI: 10.1115/1.4048197
• 发表时间: 2020-12
• 期刊: Journal of Applied Mechanics
• 作者: David A. Ehrhardt;L. Virgin;S. Spottswood

Comparative structural stiffness: Exploiting 3D-printing

比较结构刚度：利用 3D 打印

• DOI: 10.1119/10.0001756
• 发表时间: 2020
• 期刊: American Journal of Physics
• 影响因子: 0.9
• 作者: Virgin, Lawrence N.

On the elastic snapping of structural elements

• DOI: 10.1016/j.ijnonlinmec.2022.104329
• 发表时间: 2022-12
• 期刊: International Journal of Non-Linear Mechanics
• 影响因子: 3.2
• 作者: L. Virgin

3D-printing and cylinder buckling: challenges and opportunities

• DOI: 10.1098/rsta.2022.0035
• 发表时间: 2023-04-03
• 期刊: PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
• 影响因子: 5
• 作者: Cooley, S. A.;Yang, H.;Virgin, L. N.
• 通讯作者: Virgin, L. N.

A pyramidal lattice frame: Pathways to inversion

金字塔晶格框架：反转之路

• DOI: 10.1142/s0219455421500206
• 发表时间: 2021
• 期刊: International journal of structural stability and dynamics
• 影响因子: 3.6
• 作者: Guan, Y.;Virgin, L.N.
• 通讯作者: Virgin, L.N.