𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Best Matrix Approximation Method for Updating the Analytical Model

✍ Scribed by Zhang Xianmin

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
178 KB
Volume
223
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

✦ Synopsis

A best matrix approximation technique for updating the analytical model is developed using the known modal parameters. Firstly, the known modal matrix is decomposed by means of the singular-value decomposition technique. Secondly, the general updating equations for the analytical model are obtained on the basis of the singular-value decomposition results, the eigenequation, and the modal orthogonality relations. Thirdly, the best updating solution is de®ned according to the best approximation theory, and the existence and uniqueness of the best modi®cation results relative to the analytical model are studied. Finally, the concrete form of the best modi®cation and two updating algorithms are presented. Numerical examples demonstrate that the proposed method possesses high modi®catory accuracy compared with some other methods, and it possesses the ability to modify larger error models.

📜 SIMILAR VOLUMES

APPROXIMATING THE HYSTERETIC DAMPING MAT
APPROXIMATING THE HYSTERETIC DAMPING MATRIX BY A VISCOUS MATRIX FOR MODELLING IN THE TIME DOMAIN
✍ D.J. HENWOOD 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 487 KB

The paper is concerned with modelling the dynamic behaviour of a structure with damping. Hysteretic damping is commonly accepted to be reasonably accurate in some circumstances, but can only be applied directly in the frequency domain. Dynamic (time) behaviour, however, is most conveniently predicte

A STRATEGY FOR THE ENRICHMENT OF EXPERIM
A STRATEGY FOR THE ENRICHMENT OF EXPERIMENTAL DATA AS APPLIED TO AN INVERSE EIGENSENSITIVITY-BASED FE MODEL UPDATING METHOD
✍ D.A. Rade; G. Lallement 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 227 KB

A strategy for the enrichment of experimental data is examined in connection with the problem of finite element model updating. The strategy is based on the simultaneous exploitation of the dynamic responses of various structural configurations, obtained by deliberate changes of the original boundar

Analytical Solution to the Lipari–Szabo
Analytical Solution to the Lipari–Szabo Model Based on the Reduced Spectral Density Approximation Offers a Novel Protocol for Extracting Motional Parameters
✍ Christian Renner; Luis Moroder; Tad A. Holak 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 193 KB

An analytical solution to the Lipari-Szabo model is derived for isotropic overall tumbling. The parameters of the original Lipari-Szabo model, the order parameter S2 and the effective internal correlation time tau(e), are calculated from two values of the spectral density function. If additionally t