RIA: Development and Applications of the Distributed Elements Method for Analysis of Dynamic Systems

RIA：动态系统分析的分布式单元法的发展与应用

• 批准号: 9111246
• 负责人: Chin-An Tan
• 金额: $ 6万
• 依托单位: Wayne State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-09-01 至 1994-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9111246&HistoricalAwards=false
• 关键词: RIA; Development; Applications; Distributed; Elements

This project addresses the Distributed Element Method (DEM) for modeling dynamic systems. It attempts to remedy difficulties associated with the classical methods of modal analysis and eigenfunction expansion. The modal analysis technique models only a finite number of modes, whereas the eigenfunction expansion method has disadvantages in numerical simulations. The DEM method uses the transfer function concept, and is easily adapted for control problems. It is particularly suitable for symbolic computation and allows direct evaluation of the dynamic characteristics of complex systems including system spectrum and mode shapes, response and stability. Although vibration problems will be stressed in this project, the methodology has potential applications in other disciplines, including heat conduction and diffusion.

本项目介绍了分布式单元法（DEM）， 动态系统建模 它试图补救困难 与模态分析的经典方法相关联， 本征函数展开 模态分析技术模型 只有有限数量的模式，而本征函数 展开法在数值模拟中存在不足。 的 DEM方法采用了传递函数的概念， 适应控制问题。 它特别适用于 符号计算，并允许直接评估的动态 复杂系统的特性，包括系统谱和 振型、响应和稳定性。 虽然振动问题 将强调在这个项目中，该方法具有潜力 在其他学科中的应用，包括热传导和 扩散