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TECHNICAL PAPERS

A New Approach for Reduced Order Modeling of Mechanical Systems Using Vibration Measurements

[+] Author and Article Information
H. Luş

Dept. of Civil Eng., Boǧazi̇çi̇ University, Bebek, 34342, Istanbul, Turkey

M. De Angelis

Dip. Ing. Strutt. e Geotecnica, Univ. di Roma “La Sapienza,” Rome, Italy

R. Betti

Dept. of Civil Eng. and Eng. Mechanics, Columbia University, New York, NY 10027

J. Appl. Mech 70(5), 715-723 (Oct 10, 2003) (9 pages) doi:10.1115/1.1602482 History: Received June 05, 2002; Revised January 28, 2003; Online October 10, 2003
Copyright © 2003 by ASME
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References

Agbabian,  M. S., Masri,  S. F., Miller,  R. K., and Caughey,  T. K., 1991, “System Identification Approach to Detection of Structural Changes,” J. Eng. Mech., 117, pp. 370–390.
Mottershead,  J. E., and Friswell,  M. I., 1993, “Model Updating in Structural Dynamics: A Survey,” J. Sound Vib., 165, pp. 347–375.
Berman,  A., 1979, “Mass Matrix Correction Using an Incomplete Set of Measured Modes,” AIAA J., 17, pp. 1147–1148.
Baruch,  M., 1982, “Optimal Correction of Mass and Stiffness Matrices Using Measured Modes,” AIAA J., 20, pp. 1623–1626.
Beck,  J. L., and Katafygiotis,  L. S., 1998, “Updating Models and Their Uncertainties. I: Bayesian Statistical Framework,” J. Eng. Mech., 124, pp. 455–461.
Alvin,  K. F., and Park,  K. C., 1994, “Second-Order Structural Identification Procedure Via State-Space-Based System Identification,” AIAA J., 32, pp. 397–406.
Alvin,  K. F., Peterson,  L. D., and Park,  K. C., 1995, “Method for Determining Minimum-Order Mass and Stiffness Matrices From Modal Test Data,” AIAA J., 33, pp. 128–135.
Tseng,  D. H., Longman,  R. W., and Juang,  J. N., 1994, “Identification of Gyroscopic and Nongyroscopic Second Order Mechanical Systems Including Repeated Root Problems,” Adv. Astronaut. Sci., 87, pp. 145–165.
Tseng,  D. H., Longman,  R. W., and Juang,  J. N., 1994, “Identification of the Structure of the Damping Matrix in Second Order Mechanical Systems,” Adv. Astronaut. Sci., 87, pp. 166–190.
Balmès,  E., 1997, “New Results on the Identification of Normal Modes From Experimental Complex Modes,” Mech. Syst. Signal Process., 11, pp. 229–243.
Luş, H., 2001, “Control Theory Based System Identification,” Ph.D. thesis, Columbia University, New York.
DeAngelis,  M., Luş,  H., Betti,  R., and Longman,  R. W., 2002, “Extracting Physical Parameters of Mechanical Models From Identified State Space Representations,” ASME J. Appl. Mech., 69, pp. 617–625.
Luş, H., Betti, R., Yu, J., and DeAngelis, M., “Investigation of a System Identification Methodology in the Context of the ASCE Benchmark Problem,” J. Eng. Mech., to appear.
Sestieri,  A., and Ibrahim,  S. R., 1994, “Analysis of Errors and Approximations in the Use of Modal Coordinates,” J. Sound Vib., 177, pp. 145–157.
Juang,  J. N., Cooper,  J. E., and Wright,  J. R., 1988, “An Eigensystem Realization Algorithm Using Data Correlations (ERA/DC) for Modal Parameter Identification,” Control Theory and Adv. Technol., 4(1), pp. 5–14.
Juang,  J. N., Phan,  M., Horta,  L. G., and Longman,  R. W., 1993, “Identification of Observer/Kalman Filter Markov Parameters: Theory and Experiments,” J. Guid. Control Dyn., 16, pp. 320–329.
Luş,  H., Betti,  R., and Longman,  R. W., 1999, “Identification of Linear Structural Systems Using Earthquake-Induced Vibration Data,” Earthquake Eng. Struct. Dyn., 28, pp. 1449–1467.
Luş,  H., Betti,  R., and Longman,  R. W., 2002, “Obtaining Refined First Order Predictive Models of Linear Structural Systems,” Earthquake Eng. Struct. Dyn., 31, pp. 1413–1440.
Guyan,  Robert J., 1965, “Reduction of Stiffness and Mass Matrices,” AIAA J., 3, p. 380.
Bernal, D., and Gunes, B., 2000, “Extraction of Second Order System Matrices From State Space Realizations,” 14th ASCE Engineering Mechanics Conference.

Figures

Grahic Jump Location
4 DOF lumped mass system
Grahic Jump Location
Example truss structure

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