An efficient method for the determination of the eigenvalues and eigenvectors of lightly damped systems is developed by means of a perturbation technique. The second order matrix differential equation containing mass, stiffness and damping matrices is normally transformed into a first-order state eq
The Temporal Correlation Method For Modal Identification Of Lightly Damped Structures
โ Scribed by M.A. Norris; S.P. Kahn; L.M. Silverberg; C.E. Hedgecock
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 367 KB
- Volume
- 162
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
โฆ Synopsis
This work represents an extension and experimental verification of earlier work proposed for modal identification of distributed structures in the time domain. The Temporal Correlation Method has been shown to be a constrained version of the Eigensystem Realization Algorithm. Furthermore, in this method, the configuration space has half the dimension of the state space, so that the technique has obvious computational advantages. Also, advantage is taken of the temporal correlation and spatial orthogonality properties of lightly damped nearly self-adjoint distributed systems. Extensions of unmodeled (residual) modes on the identification are discussed, in which the identified modes are now shown to obey an inclusion principle. The method is verified experimentally by considering a onedimensional cantilever beam and a two-dimensional grid structure.
๐ SIMILAR VOLUMES
The topic of structural damage identification is-for good reasons-of topical concern in structural dynamics. Indeed the theme of the 1997 International Modal Analysis Conference (IMAC) is structural damage assessment. The majority of research studies attribute the basic ideas to Cawley and Adams [1]
This paper presents a method for experimentally identifying the parameters of a lightly damped non-linear system with an odd restoring force, as represented by the Du$ng equation. It requires only a single free vibration test to determine the variation of the natural frequency with the decaying ampl