Accession Number:

ADA195146

Title:

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

Descriptive Note:

Final rept. Nov 1983-Jan 1987

Corporate Author:

CINCINNATI UNIV OH DEPT OF MECHANICAL AND INDUSTRIAL ENGINEERING

Personal Author(s):

• Allemang, Randall J.
• Brown, David L.

Report Date:

1987-12-01

Pagination or Media Count:

131.0

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.

Descriptors:

• *VIBRATION
• *STRUCTURAL ANALYSIS
• *STRUCTURAL ENGINEERING
• MATHEMATICAL MODELS
• ALGORITHMS
• FUNCTIONS
• SYNTHESIS
• THEORY
• ESTIMATES
• RESPONSE
• COMPLEX VARIABLES
• ORTHOGONALITY
• FREQUENCY RESPONSE
• TIME DOMAIN
• DECOMPOSITION
• FAST FOURIER TRANSFORMS
• PATTERNS
• LEAST SQUARES METHOD
• POLYNOMIALS
• PULSES
• CONSISTENCY
• PARAMETERS
• DYNAMICS
• LITERATURE SURVEYS
• SPATIAL DISTRIBUTION
• METHODOLOGY

Subject Categories:

• Structural Engineering and Building Technology

Distribution Statement:

APPROVED FOR PUBLIC RELEASE