"Plastic Instability Phenomena with Aspects of Chaos of Fixed-Edge Structures Subjected to Short Pulse Loading"

“短脉冲载荷下固定边缘结构混沌方面的塑性失稳现象”

• 批准号: 9024607
• 负责人: Paul Symonds
• 金额: $ 10万
• 依托单位: Brown University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-07-15 至 1994-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9024607&HistoricalAwards=false
• 关键词: Plastic; Instability; Phenomena; Aspects; Chaos

A fixed ended beam is subjected to a short pulse of transverse loading such that plastic deformations are imposed. Because of the end fixity, dynamic instabilities related to shallow arch action may occur. Anomalous phenomena (such a final deflections in the direction opposite that of the pulse and severe difficulty of prediction) have been studied in uniform beams (by finite element analysis) and in two-and single-degree of freedom special beam models. In the first two of these cases, indications of deterministic chaos appear. Their novelty and interest lie in their appearance with workless constraints and in the absence of harmonic or other sustained excitation. Research is proposed here which aims to confirm and amplify the preliminary results already obtained (outlined in the proposal), to gain deeper understanding by further analysis and extensions, and to provide methods for the estimation of parameter ranges in which they are likely to occur.

一端固定的梁受到横向短脉冲的作用 加载，以便施加塑性变形。 因为 端部固定，与浅拱作用相关的动力不稳定性 可能会出现 异常现象（例如， 与脉搏方向相反， 预测）进行了研究，在均匀梁（有限元 分析）和二自由度和单自由度特殊梁 模型 在前两种情况下， 确定性混沌出现。 他们的新奇和有趣在于 他们的外观与无工作的限制，并在没有 谐波或其他持续激励。 研究建议在此 旨在确认和扩大已经取得的初步成果， 获得（提案中概述），以获得更深入的了解 通过进一步的分析和扩展，并提供方法， 估计它们可能发生的参数范围。