Research Initiation: The Application of Multivariate Error Analysis to the Estimation of Pole-Zero Models

该项目致力于改进结构建模的程序。这种建模在机械系统的设计中是至关重要的。在设计过程中不使用高保真模型只会损害最终产品的可靠性。目前存在用于确定单输入/输出系统的频率响应函数的技术。用于更现实的多输入/输出系统的技术尚未开发。这项活动解决了这一需求。这是一项针对多输入/输出系统的四阶段研究，其理论能够为结构的动力响应生成精确的零极点模型。该方法除了对系统参数进行估计外，还可以对每个估计参数的误差进行量化。所开发的理论方法将针对代表与模态测试相关的常见问题的结构进行测试。这项工作的结果将具有超越结构建模的应用。它们也将适用于结构部件和系统的控制技术。

This project addresses improving the procedures for modeling structures. Such modeling is critical in the design of mechanical systems. Failure to use high fidelity models in the design process will only compromise the reliability of the final product. Techniques currently exist for determining the frequency response function for single input/output systems. The technique for more realistic multiple input/output systems is not yet developed. This activity addresses that need. This is a four phase research study which develops for multiple input/output systems a theory capable of generating accurate pole-zero models for the dynamic response of structures. In addition to estimating the system parameters, the method can quantify the error of each estimated parameter. The theoretical methods developed will be tested for a structure representative of the common problems associated with modal testing. Results of this work will have application beyond structural modeling. They will also be applicable to the technology of control of structural components and systems.