This paper presents a new method to calculate the so-called Craig-Bampton component mode synthesis (CMS) matrices from measured frequency response functions. The procedure is based on a modified residual flexibility method, from which the Craig-Bampton CMS matrices are recovered. Experimental implementation of the method requires estimating the modal parameters corresponding to the measured free boundary modes and the Maclaurin series expansion coefficients corresponding to the omitted modes. Theoretical developments are presented in the present paper, Part 1. The performance of the new method is then demonstrated in Part 2 (Morgan et al., 1998) by comparison of experiment and analysis for a simple two-beam system.

1.
Admire
J. R.
,
Tinker
M. L.
, and
Ivey
E. W.
,
1994
, “
Residual Flexibility Test Method for Verification of Constrained Structural Models
,”
AIAA Journal
, Vol.
32
, pp.
170
175
.
2.
Alvin, K. F., Peterson, L. D., and Park, K. C., 1993, “A Method for Determining Minimum-Order Mass and Stiffness Matrices form Modal Data,” Proceedings, Eleventh International Modal Analysis Conference, pp. 1287–1293.
3.
Balmes, E., 1993, “A Finite Element Updating Procedure Using Frequency Response Functions. Applications to the MIT/SERC Interferometer Testbed,” Proceedings, Eleventh International Modal Analysis Conference, pp. 176–182.
4.
Craig, R. R. Jr., Blades, E. L., and Cutshall, W. K., 1996, “A Reduced-Order Substructure System Identification Method,” Proceedings, AIAA Dynamics Specialist Conference, Salt Lake, UT, pp. 12–20.
5.
Craig
R. R.
, and
Bampton
M. C. C.
,
1968
, “
Coupling of Substructures for Dynamic Analyses
,”
AIAA Journal
, Vol.
6
, No.
7
, pp.
1313
1319
.
6.
Ewins, D. J., 1986, Modal Testing: Theory and Practice, Research Studies Press Ltd., Letchworth, Hertfordshire, England, pp. 174–180.
7.
Foster, C. D., and Mottershead, J. E., 1990, “A Method for Improving Finite Element Models by Using Experimental Data: Application and Implications for Vibration Monitoring,” International Journal of Mechanical Sciences, pp. 191–203.
8.
Gockel, M. A., editor, 1983, Handbook for Dynamic Analysis—MSC/NASTRAN Version 63, MacNeal-Schwendler Corporation, Los Angeles, pp. (4.1-5)–(4.1-10).
9.
Guyan
R. J.
,
1965
, “
Reduction of Stiffness and Mass Matrices
,”
AIAA Journal
, Vol.
3
, No.
2
, p.
380
380
.
10.
Kammer
D. C.
,
Baker
M.
,
1987
, “
A Comparision of the Craig-Bampton and Residual Flexibility Methods for Component Substructure Representation
,”
AIAA Journal of Aircraft
, Vol.
24
, No.
4
, pp.
262
267
.
11.
Martinez, D. R., Came, T. G., Gregory, D. L., and Miller, 1984, “Combined Experimental/Analytical Modeling Using Component Mode Synthesis,” AIAA Paper 84–0941, pp. 140–152.
12.
Morgan, J. A., Pierre, C., and Hulbert, G. M., 1995, “Calculation of Component Mode Synthesis Matrices from Measured Frequency Response Functions,” Proceedings, 1995 ASME Design Engineering Technical Conferences, DE-Vol. 84–2, pp. 861–876.
13.
Morgan, J. A., 1996, “Dynamic Analysis of Coupled Substructures Using Experimentally-Based Component Mode Synthesis,” Ph.D. Dissertation, The University of Michigan, Ann Arbor, MI.
14.
Morgan
J. A.
,
Pierre
C.
, and
Hulbert
G. M.
,
1998
, “
Calculation of Component Mode Synthesis Matrices from Measured Frequency Response Functions Part 2: Application
,”
ASME JOURNAL OF VIBRATION AND ACOUSTICS
, Vol.
120
, Jan., pp.
509
516
.
15.
Rubin
S.
,
1975
, “
Improved Component-Mode Representation for Structural Dynamic Analysis
,”
AIAA Journal
, Vol.
13
, No.
8
, pp.
995
1006
.
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