Localization Phenomena in Structural Dynamics

结构动力学中的局域化现象

• 批准号: 8913196
• 负责人: Christophe Pierre
• 金额: $ 19.93万
• 依托单位: Regents of the University of Michigan - Ann Arbor
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-01-15 至 1993-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8913196&HistoricalAwards=false
• 关键词: Localization; Phenomena; Structural; Dynamics

This project continues work initiated in an earlier effort dealing with the phenomenon of vibration isolation in structures with parametric uncertainties and irregularities, and focusing on generating fundamental insights into the physical mechanisms of localization from the study of generic idealized models of periodic structures. The current project looks at three issues which are (a) the evaluation and prediction of the significance of localization effects in engineering structures, (b) the development of concise statistical tools for the analyst and designer confronted with uncertainties in structural dynamics applications, and (3) the use of these novel techniques and insights to develop a theory for vibration transmission in complex structures. An experimental verification of localization effects will be performed on a multi-span beam. The impact of the work is clear. Many large structures, i.e., truss beams, turbomachinery rotors, submarine hulls, overhead power lines, etc., are periodic. Their design and analysis is based on the assumption that the periodicity is perfect. This not the case, and often periodic structures can be highly sensitive to small irregularities in manufacturing tolerances. Neglecting these variations may lead to erroneous results and serious consequences. This research focuses on correcting this problem through development of new techniques for vibrational analysis of large periodic structures.

该项目继续了早期工作中启动的工作 处理结构中的隔振现象 参数的不确定性和不规则性， 产生对物理机制的基本见解， 从一般的理想化模型的研究本地化 周期结构 目前的项目着眼于三个问题 （a）评价和预测 局部化效应的工程结构，（B） 为分析人员开发简明的统计工具， 设计者面对结构动力学中的不确定性 应用，以及（3）这些新技术的使用， 洞察力，以发展一个理论，振动传输， 复杂的结构。 局部化的实验验证 将在多跨梁上执行效果。 的影响 工作是明确的。 许多大型建筑物，例如，桁架梁， 螺旋桨，潜艇外壳，架空电线， 等等，是周期性的。 它们的设计和分析是基于 假设周期是完美的。 但事实并非如此， 并且通常周期性结构可以对小的 制造公差不规则。 忽视这些 变化可能导致错误的结果， 后果 本研究旨在纠正这一问题 通过开发新技术的振动分析 大型周期性结构