This work examines the model updating technique for both conservative and nonproportionally damped systems. In model updating, also referred to as model correction, the analytical model is updated until it agrees with the experimental data available. In this paper it is assumed that the measured modal data, i.e., natural frequencies and in some instances mode shapes, disagrees in part with the modal parameter predicted by the analytical model. Many model updating schemes tend to produce nonsymmetric updated stiffness (and damping) matrices. The methods presented here focus on retaining the desired symmetry in the updated model

1.
Ahmadian
M.
, and
Chou
S-H.
,
1987
, “
A New Method for Finding Symmetric Form of Asymmetric Finite-Dimensional Dynamic Systems
,”
ASME Journal of Applied Mechanics
, Vol.
54
, No.
3
, pp.
700
704
.
2.
Imregun, M., and Visser, W. J., 1991, “A Review of Model Updating Techniques,” Shock and Vibration Bulletin, pp. 9–20.
3.
Inman
D. J.
,
1983
, “
Dynamics of Asymmetric Non-Conservative Systems
,”
ASME Journal of Applied Mechanics
, Vol.
50
, No.
1
, pp.
199
203
.
4.
Inman
D. J.
, and
Minas
C.
,
1990
, “
Matching Analytical Models with Experimental Data in Mechanical Systems
,”
Control and Dynamic Systems
, Vol.
37
, C. T. Leondes, ed., Academic Press, pp.
327
363
.
5.
Juang
J.-N.
, and
Pappa
R. S.
,
1985
, “
An Eigensystem Realization Algorithm for Modal Parameter Identification and Model Reduction
,”
Journal of Guidance, Control and Dynamics
, Vol.
8
, No.
5
, pp.
620
627
.
6.
Kress, A., 1991, “Model Correction and Control by Inverse Methods,” M.S. Thesis, State University of New York at Buffalo.
7.
Lam, M. J., Inman, D. J., and Kress, A., 1993, “Symmetric Model Updating of Mechanical Systems,” Vibration, Shock, Damage, and Identification of Mechanical Systems, Proceedings of the 14th Biennial Conference On Mechanical Vibration and Noise, DE-Vol. 64, pp. 65–72.
8.
Mottershead
J. E.
, and
Friswell
M. I.
,
1993
, “
Model Updating in Structural Dynamics: A Survey
,”
Journal of Sound and Vibration
, Vol.
167
, pp.
347
375
.
9.
Natke
H. G.
,
1988
, “
Updating Computational Models in the Frequency Domain Based on Measured Data: A Survey
,”
Probabilistic Engineering Mechanics
, Vol.
3
, No.
1
, pp.
28
35
.
10.
Schulz, M. J., and Inman, D. J., 1994, “Model Updating Using Constrained Eigenstructure Assignment,” Journal of Sound and Vibration, in press.
11.
Shahruz
S. M.
, and
Ma
F.
,
1991
, “
Symmetrizability of Asymmetric Systems
,”
Journal of Mathematical Analysis and Applications
, Vol.
148
, No 1, pp.
175
190
.
12.
Starek, L., and Inman, D. J., 1991a, “Solution of the Model Correction Problem via Inverse Methods,” Proceedings of the 9th International Modal Analysis Conference, pp. 352–355.
13.
Starek
L.
, and
Inman
D. J.
,
1991
b, “
On Inverse Problems with Rigid Body Modes
,”
ASME Journal of Applied Mechanics
, Vol.
50
, pp.
1101
1104
.
14.
Zimmerman, D. C, and Smith, S. W., 1992, “Model Refinement and Damage Location for Intelligent Structures,” Intelligent Structural Systems, Tzou, T. S., and Anderson, G. L., eds., pp. 403–451, Kluwer Academic, Boston.
This content is only available via PDF.
You do not currently have access to this content.