U.S.-France Cooperative Research: Shape Analysis of DampingProcesses for Elastic Systems in Structural Modelling

美法合作研究：结构建模中弹性系统阻尼过程的形状分析

• 批准号: 9218323
• 负责人: Irena Lasiecka
• 金额: $ 1.02万
• 依托单位: University of Virginia Main Campus
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-05-01 至 1997-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9218323&HistoricalAwards=false
• 关键词: U.S.; France; Cooperative; Research; Shape

This three-year award supports U.S.-France cooperative research in applied mathematics. The investigators are Irena Lasiecka and Roberto Triggiani from the University of Virginia and J.P. Zolesio and M. Souli from the University of Nice. The investigators will utilize partial differential equations, hyperbolic equations and numerical analysis in approaching a number of problems in structural mechanics. The project focuses on elastic structures whose dynamical behavior is effected by internal damping of vibrations. The objectives are to enhance stability properties by determining the optimal shape or design of the elastic structure so that undesirable vibrations are reduced. The U.S. investigators bring to this collaboration their expertise in mathematical modelling of structural damping, optimum control and related questions and the utilization of elastic partial differential equations for determining controllability and stabilization properties. This is complemented by French expertise in shape analysis and optimization. The research has important applications in the areas of space mechanics and control.

这个为期三年的奖项支持美国-法国合作研究 在应用数学中。 调查人员是伊雷娜·拉西卡 弗吉尼亚大学的Roberto Triggiani和J. P. Zolesio和M.来自尼斯大学的Souli。 的 研究人员将利用偏微分方程，双曲 方程和数值分析， 结构力学的问题。 该项目侧重于弹性 其动力学行为受内部 振动的衰减。 目标是加强稳定 通过确定的最佳形状或设计的属性， 弹性结构，从而减少了不期望的振动。 美国调查人员为这次合作带来了他们的专业知识 在结构阻尼数学模型中， 控制及相关问题和弹性偏微分方程的应用 确定可控性的微分方程， 稳定性能 这是补充法语 形状分析和优化方面的专业知识。 这项研究 在空间力学领域的重要应用， 控制