Dynamic substructuring of damped structures using singular value decomposition

Journal of Applied Mechanics, Transactions ASME

Volumn 64, Issue 2, 1997, Pages 292-298

  Ohayon, R ^a   Sampaio, R ^b   Soize, C ^c  

^a University of Paris Cité   (France)

^b PONTIFICAL CATHOLIC UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^c ONERA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DAMPING; DEGREES OF FREEDOM (MECHANICS); EIGENVALUES AND EIGENFUNCTIONS; ELASTICITY; FREQUENCY DOMAIN ANALYSIS; FREQUENCY RESPONSE; FUNCTIONS; INTERFACES (MATERIALS); LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; MODAL ANALYSIS; VARIATIONAL TECHNIQUES;

DYNAMIC SUBSTRUCTURING METHOD; SINGULAR VALUE DECOMPOSITION (SVD); STRUCTURE COUPLING;

STRUCTURAL ANALYSIS;

EID: 0031161943     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.2787306     Document Type: Article

References (26)

1. Argyris, J., and Meljnek, H. P., 1991, Dynamics of Structures, North-Holland, Amsterdam.
2. Brezzi, F., and Fortin, M., 1991, Mixed and Hybrid Finite Element Methods, Springer, Berlin.
3. Craig, R. R., Jr., 1985, “A Review of Time Domain and Frequency Domain Component Mode Synthesis Method,” Combined Experimental-Analytical Modeling of Dynamic Structural Systems, D. R. Martinez and A. K. Miller, eds., ASME, New York.
4. Craig, R. R., Jr., and Bampton, M. C. C., 1968, “Coupling of Substructures for Dynamic Analysis,” A1AA Journal, Vol. 6, pp. 1313-1319.
5. Dautray, R., and Lions, J.-L., 1992, Mathematical Analysis and Numerical Methods for Science and Technology, Springer-Verlag, Berlin.
6. Farhat, C., and Geradin, M., 1994, “On a Component Mode Method and its Application to Incompatible Substructures,” Computer and Structures, Vol. 51, No. 5, pp. 459-473.
7. Farstad, J. E., and Singh, R., 1995, “Structurally Transmitted Dynamic Power in Discretely Joined Damped Component Assemblies,” J. Acoust. Soc. Am., Vol. 97, No. 5, pp. 2855-2865.
8. Flashner, H., 1986, “An Orthogonal Decomposition Approach to Modal Synthesis,” Int. J. Num. Meth, Eng., Vol. 23, No. 3, pp. 471-493.
9. Golub, G. H. and Van Loan, C. F., 1989, Matrix Computations, 2nd ed., The John Hopkins University Press, Baltimore.
10. Guyan, R. J., 1965, “Reduction of Stiffness and Mass Matrices,” AIAA Journal, Vol. 3.
11. Hale, A. L., and Meirovitch, L., 1980, “A General Substructure Synthesis Method for the Dynamic Simulation of Complex Structures,” Journal of Sound and Vibration, Vol. 69, No. 2, pp. 309-326.
12. Hurty, W. C., 1965, “Dynamic Analysis of Structural Systems Using Component Modes,” AIAA Journal, Vol. 3, No. 4, pp. 678-685.
13. Jen, C. W., and Johnson, D. A., and Dubois, F., 1995, “Numerical Modal Analysis of Structures Based on a Revised Substructure Synthesis Approach,” Journal of Sound and Vibration, Vol. 180, No. 2, pp. 185-203.
14. Klein, L. R., and Dowell, E. H., 1974, “Analysis of Modal damping by Component Modes Method Using Lagrange Multipliers,” ASME Journal of Applied Mechanics, Vol. 39, pp. 727-732.
15. Kree, P., and Soize, C., 1986, Mathematics of Random Phenomena, Reidel, Dordrecht.
16. Leung, A. Y. T., 1993, Dynamic Stiffness and Substructures, Springer-Verlag, New York.
17. MacNeal, R. H., 1971, “A Hybrid Method of Component Mode Synthesis,” Computers and Structures, Vol. 1, pp. 581-601.
18. Marsden, J. E., and Hughes, T. J. R., 1983, Mathematical Foundations of Elasticity, Prentice-Hall, Englewood Cliffs, NJ.
19. Min, K. W., Igusa, T., and Achenbach, J. D., 1992, “Frequency Window Method for Strongly Coupled and Multiply Connected Structural Systems: Multiple-Mode Windows,” ASME Journal of Applied Mechanics, Vol. 59, pp. 244-252.
20. Morand, H. J. P., and Ohayon, R., 1995, Fluid Structure Interaction, John Wiley and Sons, New York.
21. Rubin, S., 1975, “Improved Component Mode Representation for Structural Dynamic Analysis,” AIAA Journal, Vol. 18, No 8, pp. 995-1006.
22. Rook, T. E., and Singh, R., 1995, “Power Flow Through Multidimensional Compliant Joints Using Mobility and Modal Approaches,” J. Acoust. Soc. Am., Vol. 97, No. 5, pp. 2882-2891.
23. Schmidt, Th., and Müller, P. C., 1993, “A Parameter Estimation Method for Multibody Systems with Constraints,” Advanced Multibody System Dynamics, W. Schiehlen, ed., Kluwer Academic Publishers, Dordrecht, pp. 427-433.
24. Shabana, A. A., 1991, “Constrained Motion of Deformable Bodies,” Int. J. Num. Meth. Eng., Vol. 32, pp. 1813-1831.
25. Singh, R. P., and Likins, P. W., 1985, “Singular Value Decomposition for Constrained Dynamical Systems,” ASME Journal of Applied Mechanics, Vol. 52, pp. 943-948.
26. Soize, C., Desanti, A., and David, J. M., 1992, “Numerical Methods in Elasto-acoustic for Low and Medium Frequency Ranges,” La Recherche Aérospatiale (English Edition), Vol. 5, pp. 25-44.