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A generalized residuals model for the unified matrix polynomial approach to frequency domain modal parameter estimation.

机译：用于频域模态参数估计的统一矩阵多项式方法的广义残差模型。

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摘要

The purpose of this dissertation is twofold: to generalize residuals for frequency domain modal parameter estimation and to introduce the notion of a consistency diagram for residuals. Residuals are simplified expressions included in an FRF model to account for the influence of out-of-band modes. The development of most frequency domain algorithms have had some consideration of residuals, but only as fixed set of terms. A consistency diagram, which is a widely popular technique in modal parameter estimation, has historically been generated by varying only the number of poles in the model. However, there are other conditions of the parameter estimation process, such as the residuals, that can be varied to produce consistent estimates of the system poles.; An overview of the residual models and applications illustrates the need for a more systematic approach. The limitations of the physical residual model are established, which verifies that a more generalized residual model is justified. A power polynomial of frequency, with positive and negative orders, is proposed, developed and implemented as a generalized residual model for frequency domain modal parameter estimation. It is demonstrated that a polynomial function is able to sufficiently describe the off-resonance frequency response characteristics. The generalized residual polynomial is then combined with the rational fraction polynomial FRF model to derive the frequency domain UMPA model with generalized residuals.; Algorithms for residue estimation with generalized residuals are also given. In addition, a method for determining the residues directly from the UMPA model poles and numerator polynomial coefficients is developed. A procedure is also derived to deconvolve the estimated denominator polynomial coefficients into their constituent parts.; The concept of a consistency diagram has been extended allowing the residuals to be varied in the parameter estimation process. In methods such as CMIF and EMIF, the model order is fixed, but a consistency diagram for residuals is implemented. For the general UMPA model, both the denominator and numerator model order is varied in different permutations to generate a consistency diagram. The ideas introduced in this dissertation should lead to further study of other variable conditions in the parameter estimation process.
机译：本文的目的是双重的：概括用于频域模态参数估计的残差，并引入残差一致性图的概念。残差是FRF模型中包含的简化表达式，用于说明带外模式的影响。大多数频域算法的开发都考虑了残差，但仅考虑了固定项。一致性图是模态参数估计中广泛使用的一种技术，过去一直是通过仅改变模型中的极点数来生成的。但是，参数估计过程还有其他条件，例如残差，可以改变以产生一致的系统极点估计。残差模型和应用程序的概述说明了对更系统方法的需求。建立了物理残差模型的局限性，这证明了更广义的残差模型是合理的。提出，开发和实现具有正负阶次的频率幂多项式，作为用于频域模态参数估计的通用残差模型。证明了多项式函数能够充分描述失谐频率响应特性。然后，将广义残差多项式与有理分数多项式FRF模型相结合，以推导具有广义残差的频域UMPA模型。还给出了带有广义残差的残差估计算法。此外，开发了一种直接根据UMPA模型极点和分子多项式系数确定残差的方法。还导出了将估计的分母多项式系数解卷积为其组成部分的过程。一致性图的概念已经扩展，允许残差在参数估计过程中变化。在诸如CMIF和EMIF之类的方法中，模型顺序是固定的，但是会实现残差的一致性图。对于一般的UMPA模型，分母和分子模型的阶次都以不同的排列变化，以生成一致性图。本文所提出的思想应引起对参数估计过程中其他可变条件的进一步研究。

著录项

  • 作者

    Fladung, William Austin.;

  • 作者单位

    University of Cincinnati.;

  • 授予单位 University of Cincinnati.;
  • 学科 Engineering Mechanical.
  • 学位 Ph.D.
  • 年度 2001
  • 页码 146 p.
  • 总页数 146
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 机械、仪表工业;
  • 关键词

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