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首页> 外文会议>ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2007 >FLOQUET EXPERIMENTAL MODAL ANALYSIS FOR SYSTEM IDENTIFICATION OF LINEAR TIME-PERIODIC SYSTEMS
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FLOQUET EXPERIMENTAL MODAL ANALYSIS FOR SYSTEM IDENTIFICATION OF LINEAR TIME-PERIODIC SYSTEMS

机译：线性时间周期系统系统辨识的Floquet实验模态分析

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摘要

A variety of systems can be faithfully modeled as linear with coefficients that vary periodically with time or Linear Time-Periodic (LTP). Examples include anisotropic rotor-bearing systems, wind turbines, satellite systems, etc... A number of powerful techniques have been presented in the past few decades, so that one might expect to model or control an LTP system with relative ease compared to time varying systems in general. However, few, if any, methods exist for experimentally characterizing LTP systems. This work seeks to produce a set of tools that can be used to characterize LTP systems completely through experiment. While such an approach is commonplace for LTI systems, all current methods for time varying systems require either that the system parameters vary slowly with time or else simply identify a few parameters of a pre-defined model to response data. A previous work presented two methods by which system identification techniques for linear time invariant (LTI) systems could be used to identify a response model for an LTP system from free response data. One of these allows the system's model order to be determined exactly as if the system were linear time-invariant. This work presents a means whereby the response model identified in the previous work can be used to generate the full state transition matrix and the underlying time varying state matrix from an identified LTP response model and illustrates the entire system-identification process using simulated response data for a Jeffcott rotor in anisotropic bearings.
机译：可以将各种系统忠实地建模为线性系数，其系数随时间而周期性变化，或者线性时间周期（LTP）。例子包括各向异性的转子轴承系统，风力涡轮机，卫星系统等。在过去的几十年中，已经提出了许多强大的技术，因此人们可能希望对LTP系统进行建模或控制与时间相比相对容易。各种系统。但是，很少有（如果有的话）用于实验表征LTP系统的方法。这项工作试图产生一套可以通过实验完全表征LTP系统的工具。尽管这种方法在LTI系统中很常见，但是所有当前的时变系统方法都要求系统参数随时间缓慢变化，或者简单地确定预定义模型的一些参数以响应数据。先前的工作提出了两种方法，通过这些方法，可以将线性时不变（LTI）系统的系统识别技术用于从自由响应数据中识别LTP系统的响应模型。其中之一允许准确确定系统的模型顺序，就好像系统是线性时不变的一样。这项工作提出了一种手段，通过该手段，可以使用在先前工作中确定的响应模型从所标识的LTP响应模型生成完整状态转换矩阵和底层时变状态矩阵，并说明使用模拟响应数据进行建模的整个系统识别过程。各向异性轴承中的Jeffcott转子。

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