As the fundamental cause of the slow convergence of a direct free-interface component mode synthesis method, we point out the inability of free-interface normal modes in representing the stress resultants near the free interface of a substructure. Although the effects of the residual flexibility of a substructure on the solution convergence are well known, the present theoretical analysis would help understand more clearly the convergence problems of the direct free-interface substructure coupling method. [S0739-3717(00)01704-9]
Issue Section:
Technical Papers
1.
Hurty
, W. C.
, 1965
, “Dynamic analysis of structural systems using component modes
,” AIAA J.
, 3
, No. 4
, pp. 678
–685
.2.
Craig
, Jr., R. R.
, and Bampton
, M. C. C.
, 1968
, “Coupling of substructures for dynamic analyses
,” AIAA J.
, 6
, No. 7
, pp. 1313
–1319
.3.
Suarez
, L. E.
, and Singh
, M. P.
, 1992
, “Improved fixed interface method for modal synthesis
,” AIAA J.
, 30
, No. 12
, pp. 2952
–2958
.4.
Qiu
, J-B.
, Ying
, Z-G.
, and Williams
, F. W.
, 1997
, “Exact modal synthesis techniques using residual constraint modes
,” Int. J. Numer. Methods Eng.
, 40
, pp. 2475
–2492
.5.
Goldman
, R. L.
, 1969
, “Vibration analysis by dynamic partitioning
,” AIAA J.
, 7
, No. 6
, pp. 1152
–1154
.6.
Hou, S., 1969, “Review of modal synthesis techniques and a new approach,” Shock Vibr. Bul., No. 40, Pt. 4, pp. 25–39.
7.
MacNeal
, R. H.
, 1971
, “A Hybrid Method of Component Mode Synthesis
,” Comput. Struct.
, 1
, pp. 581
–601
.8.
Rubin
, S.
, 1975
, “Improved Component-Mode Representation for Structural Dynamics Analysis
,” AIAA J.
, 13
, pp. 995
–1006
.9.
Craig, R. R., Jr., and Chang, C. J., 1977, “On the use of attachment modes in substructure coupling for dynamic analysis,” Proceedings AIAA/ASME 18th Structures, Structural Dynamics & Materials Conference, Vol. B, pp. 89–99.
10.
Chang, C. J., 1977, A General Procedure for Substructure Coupling in Dynamic Analysis, Ph.D. Dissertation, The University of Texas at Austin, Texas, Austin.
11.
Gu
, K.
, and Tongue
, B. H.
, 1987
, “A method to improve the model convergence for structures with external forcing
,” ASME J. Appl. Mech.
, 54
, pp. 904
–909
.12.
Meirovitch
, L.
, and Kwak
, M. K.
, 1991
, “Rayleigh-Ritz based substructure synthesis for flexible multibody systems
,” AIAA J.
, 29
, pp. 1709
–1719
.13.
Suarez
, L. E.
, and Matheu
, E. E.
, 1992
, “A modal synthesis technique based on the force derivative method
,” ASME J. Vibr. Acoust.
, 114
, pp. 209
–216
.14.
Benfield
, W. A.
, and Hruda
, R. F.
, 1971
, “Vibration analysis of structures by component mode substitution
,” AIAA J.
, 9
, No. 7
, pp. 1255
–1261
.15.
Jezequel
, L.
, 1980
, “A method of damping synthesis from substructure tests
,” ASME J. Mech. Des.
, 102
, pp. 286
–294
.16.
Craig, R. R., Jr., 1981, Structural Dynamics-An Introduction to Computer Methods, Wiley, New York.
17.
Kim, Y. Y., and Kang, J. H., 1998, “Hypothetically Extended Substructure Method for Component Mode Synthesis,” Proceedings of 16th IMAC, pp. 1139–1143.
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