Collaborative Research: Dynamics of Snapping of Tethers

合作研究：系绳折断动力学

• 批准号: 2310665
• 负责人: James Hanna
• 金额: $ 20.25万
• 依托单位: Board of Regents, NSHE, obo University of Nevada, Reno
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2024
• 资助国家: 美国
• 起止时间: 2024-01-01 至 2025-12-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2310665&HistoricalAwards=false
• 关键词: Collaborative; Research; Dynamics; Snapping; Tethers

This grant will fund research that enables accurate design for performance, reliability, and safety of flexible ropes used in parachutes, mooring lines, towing cables, safety harnesses, and energy harvesting devices, thereby promoting the progress of science, and advancing the national prosperity. Whether free-ended or tethered to payloads, the behavior of flexible ropes in engineering applications can be properly understood only by accounting for potentially damage-inducing snapping-like dynamics whereby a slack object is suddenly pulled taut. Even mild yanking at one end of a cable can easily amplify accelerations and tensions by several orders of magnitude, as kinetic energy is focused on a small region near the cable’s other end. The temporal brevity of the snapping process and the corresponding strong spatial localization of energy may lead to structural failures but can also be a way to manipulate a payload. To allow researchers and engineers to quantify, explain, and predict snapping phenomena across a range of applications, this project will build theoretical and computational models that are informed by experimental observations and validated against physical tests. To encourage participation in STEM, an educational module on bungee jump dynamics will be developed for summer camp programs for high school students at the University of Nevada and the University of Texas at Austin.This research aims to develop the foundations of a modeling method for rapid, nonlinear, slack-taut transitions between effectively inextensible inertial motion to stretching and elastic wave generation of flexible objects, and to translate this method into efficient simulation techniques. It will accomplish these outcomes by deriving new boundary-layer asymptotics and scaling analyses that capture a sudden onset of large spatial gradients in tension and rapid exchange of kinetic energy to elastic potential energy and back again. It then builds on such techniques in the development of reduced order models and asynchronous time integrators that overcome unique numerical challenges associated with the nearly singular snapping dynamics. Finally, experiments on gravity-driven snapping will be performed to explore different regimes of behavior and to obtain data for comparison with theory and simulation.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.

这项赠款将资助研究，以实现降落伞，系泊线，牵引电缆，安全带和能量收集设备的柔性绳索的绩效，可靠性和安全性的准确设计，从而促进了科学的进步并促进了国家繁荣。无论是自由式还是束缚在有效载荷上，只有通过考虑可能引起折断的动力学的可能造成损坏的动态，才能正确理解柔性绳索在工程应用中的行为，从而突然将松弛的物体拉紧。即使是电缆的一端轻度猛拉也可以轻松地通过几个数量级扩大加速度和紧张局势，因为动能集中在电缆附近的另一端附近的一个小区域上。捕捉过程的暂时简洁和相应的强大能量定位可能会导致结构性故障，但也可能是操纵有效载荷的一种方法。为了允许研究人员和工程师在一系列应用中量化，解释和预测捕捉现象，该项目将构建理论和计算模型，这些模型通过实验观察结果来告知并针对物理测试进行了验证。为了鼓励参与STEM，将为内华达大学和德克萨斯大学奥斯汀分校的夏令营计划开发一个有关蹦极跳跃动态的教育模块。这项研究旨在为快速，非线性，非线性，轻松的taut过渡到可有效地进行局部性的动作，从而使该方法具有较高的启发和弹性的能力，从而为快速的，轻松的tauut过渡到柔韧性浪潮，并促进了柔韧性，并开发了一种实质性的，无线性，轻松的tauut过渡性，并具有柔韧性，并具有柔韧性。它将通过得出新的边界层次渐近剂和缩放分析来实现这些结果，从而捕获张力和动能快速交换在弹性势能中突然发作，然后再次恢复。然后，它建立在开发减少的顺序模型和异步时间集成商中的此类技术的基础上，从而克服了与几乎奇异的捕捉动力学相关的独特数值挑战。最后，将进行有关重力驱动的捕捉的实验，以探索不同的行为制度，并获得与理论和仿真进行比较的数据。该奖项反映了NSF的法定任务，并认为使用基金会的智力优点和更广泛影响的审查标准，认为值得通过评估来获得支持。