Experimental Modal Analysis and Dynamic Component Synthesis. Volume 3. Modal Parameter Estimation

Abstract

This report documents the area of modal parameter estimation in terms of reviewing efforts over the past twenty-five years, in developing several new multiple reference methods, and in attempting to provide a common basis and understanding for all of the modal parameter estimation methods developed to date. The review of modal parameter estimation includes a substantial literature review and the presentation of previous methods, such as the Least Squares Complex Exponential, as special cases of general methods, such as the Polyreference Time Domain method. Several new modal parameter estimation methods are developed and presented using consistent theory and nomenclature. The methods that are presented in this manner include: Polyreference Time Domain, Polyreference Frequency Domain, Multiple Reference Ibrahim Time Domain, Multiple Reference Orthogonal Polynomial, and Multi MAC. These methods, in terms of general characteristics, are also compared to other methods such as the Least Squares Complex Exponential, Ibrahim Time Domain, Eigen system Realization Algorithm, and Direct Parameter Estimation methods. These methods are all similar in that the methods involve the decomposition of impulse response functions (time domain), frequency response functions (frequency domain), or forced response patterns (spatial domain) into characteristic functions in the appropriate domain. These characteristic functions are the single degree of freedom information in the respective domain.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1987
Accession Number
ADA195146

Entities

People

  • David L. Brown
  • Randall J. Allemang

Organizations

  • University of Cincinnati

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Computational Science
  • Computer Programs
  • Databases
  • Difference Equations
  • Differential Equations
  • Frequency Bands
  • Frequency Response
  • Least Squares Method
  • Measurement
  • Mechanical Engineering
  • Mechanical Structure
  • Modal Analysis
  • Resonant Frequency
  • Software Development
  • Test Methods

Readers

  • Theoretical Analysis.
  • Wave Propagation and Nonlinear Chaotic Dynamics.