Identification of the dynamic characteristics of nonlinear structures


Chapter  q POSSIBILITIES AND LIMITATIONS OF ANALYTICAL



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Dynamic characteristics of non-linear system.

Chapter 
q
POSSIBILITIES AND LIMITATIONS OF ANALYTICAL
7.1
7.2
7.3
7.4
7.5
7.6
MODEL IMPROVEMENT
INTRODUCTION .......................................................................
2 0 6
REVIEW OF FULL MATRIX UPDATING PRACTICE .......................... 2 0 7
7.2.1
Berman’s
Method.. ..............................................................
7.2.2
The Error Matrix Method ........................................................
209
7.2.3 Mathematical Illustrations ........................................................
210
CONDENSED MODEL BASED ON
REDUCTION.. ..................
10
7.3.1
The GARTEUR Structure.. ....................................................
7.3.2
The 
Reduction Technique ...............................................
211
7.3.3
Location of Modelling Errors ...................................................
215
7.3.4
Updating of Analytical Model Based on Location Results.. ................
STRUCTURALCONNECTMTIESINANANALYTICALMODEL.. ........ 221
MINIMAL DATA REQUIRED 
UPDATE AN ANALYTICAL MODEL
2 4
7.5.1
The Eigendynamic Constraint Method ......................................... 225
7.5.2
The Inverse Eigensensitivity Analysis ......................................... 227
7.5.3
Number of Modes and Coordinates Required to Update
an Analytical Model ..............................................................
230
7.5.4 Numerical Case Studies ..........................................................
231
7.5.5
Generalisation of the Criteria.. .................................................
7.5.6
Application of the Methods to the GARTEUR Structures
CONCLUSIONS ......................................................................... 2 4 8



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