In modal parameter identification, the damped complex exponential response methods extract modal parameters using free decay responses. Although there are several different complex exponential methods, they are based on the Prony method. The Prony method has some limitations, such as poor robustness
MODAL PARAMETER ESTIMATION: AN APPROACH USING CUMULANTS
β Scribed by LARDIES JOSEPH; LARBI NOUREDDINE
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 115 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0888-3270
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β¦ Synopsis
A cumulant-based approach for the estimation of eigenfrequencies and damping coe$cients of a vibrating system excited by a random force is presented. Cumulants of sensors output of the system are used with a state-space representation to provide a method for modal parameter estimation. This method uses properties of a shifted Hankel matrix formed with cumulants to estimate the transition matrix of the state-space model. The transition matrix is related to modal parameters. A simulation example is included to demonstrate the e!ectiveness of the use of cumulants when the signals are corrupted by a Gaussian noise.
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