Substructuring and component mode synthesis

Shock and Vibration

Volumn 4, Issue 3, 1997, Pages 199-210

  Seshu, P ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY BOMBAY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); FINITE ELEMENT METHOD; MATHEMATICAL MODELS;

COMPONENT MODE SYNTHESIS (CMS);

STRUCTURAL ANALYSIS;

EID: 0031329441     PISSN: 10709622     EISSN: None     Source Type: Journal    
DOI: 10.1155/1997/147513     Document Type: Review

References (93)

1. Abdallah, A. A., and Huckelbridge, A. A., 1990, "Boundary Flexible Method of Component Mode Synthesis Using Static Ritz Vectors," Computers and Structures, Vol. 35, pp. 51-61.
2. Arnold, R. R., Citerley, R. L., Chargin, M., and Gallant, D., 1985, "Application of Ritz Vectors for Dynamic Analysis of Large Structures," Computers and Structures, Vol. 21, pp. 461-467.
3. Arora, J. S., and Nguyen, D. T., 1980, "Eigensolution for Large Structural Systems with Substructures," International Journal for Numerical Methods in Engg., Vol. 15, pp. 333-341.
4. Bathe, K. J., 1982, Finite Element Procedures in Engineering Analysts, Prentice Hall, Englewood Cliffs, N.J.
5. Bathe, K. J., and Gracewski, S., 1981, "On Non-Linear Dynamic Analysis Using Substructuring and Mode Superposition," Computers and Structures, Vol. 13, pp. 699-707.
6. Beliveau, J.-G., and Soucy, Y., 1985, "Damping Synthesis Using Complex Substructure Modes and a Hermitian System Representation," AIAA Journal, Vol. 23, pp. 1952-1956.
7. Benfield, W. A., and Hruda, R. F., 1971, "Vibration Analysis of Structures by Component Mode Substitution," AIAA Journal, Vol. 9, pp. 1255-1261.
8. Bennighof, J. K., 1987, "Component Mode Iteration for Frequency Calculations," AIAA Journal, Vol. 25, pp. 996-1002.
9. Bouhaddi, N., and Filled, R., 1992a, "Substructuring Using a Linearized Dynamic Condensation Method," Computers and Structures, Vol. 45, pp. 679-683.
10. Bouhaddi, N., and Fillod, R., 1992b, "A Method for Selecting Master DOF in Dynamic Substructuring Using the Guyan Condensation Method," Computers and Structures, Vol. 45, pp. 941-946.
11. Bourquin, F., and d'Hennezel, F., 1992a, "Intrinsic Component Mode Synthesis and Plate Vibrations," Computers and Structures, Vol. 44, pp. 315-324.
12. Bourquin, F., and d'Hennezel, F., 1992b, "Numerical Study of an Intrinsic Component Mode Synthesis Method," Computer Methods in Applied Mechanics and Engineering, Vol. 97, pp. 49-76.
13. Craig, R. R., Jr., and Bampton, M. C. C., 1968, "Coupling of Substructures for Dynamic Analysis," AIAA Journal, Vol. 6, pp. 1313-1319.
14. Craig, R. R., Jr., and Chang, C. J., 1976, "Free Interface Methods of Substructure Coupling for Dynamic Analysis," AIAA Journal, Vol. 14, pp. 1633-1635.
15. Craig, R. R., Jr., 1977, "Methods of Component Mode Synthesis," Shock and Vibration Digest, Vol. 9, No. 11, pp. 3-10.
16. Craig, R. R., Jr., and Chung, Y. T., 1982, "Generalised Substructure Coupling Procedure for Damped Systems," AIAA Journal, Vol. 20, pp. 442-444.
17. Craig, R. R., Jr., 1987, "A Review of Time Domain and Frequency Domain Component Mode Synthesis Methods," International Journal of Analytical and Experimental Modal Analysis, Vol. 2, No. 2, pp. 59-72.
18. Craig, R. R., Jr., and Hale, A. L., 1988, "Block-Krylov Component Synthesis Method for Structural Model Reduction, Journal of Guidance, Control, Dynamics, AIAA, Vol. 11, pp. 562-570.
19. Craig, R. R., Jr., and Ni, Z., 1989, "Component Mode Synthesis for Model Order Reduction of Nonclassically Damped Systems," Journal of Guidance, Control and Dynamics, Vol. 12, pp. 577-584.
20. Curnier, A., 1983, "On Three Modal Synthesis Variants," Journal of Sound and Vibration, Vol. 90, pp. 527-540.
21. de Kraker, A., and van Campen, D. H., 1996, "Rubin's CMS Reduction Methods for General State Space Models," Computers and Structures, Vol. 58, pp. 597-606.
22. Dowell, E. H., 1980, "Component Mode Analysis of Nonlinear and Nonconservative Systems," ASME Journal of Applied Mechanics, Vol. 47, pp. 172-176.
23. El-Sayed, M. E. M., and Hsiung, C. K., 1990, "Parallel Finite Element Computation with Separate Substructures," Computers and Structures, Vol. 36, pp. 261-265.
24. Engels, R. C., 1992, "Convergence Improvement for Component Mode Synthesis," AIAA Jounal, Vol. 30, pp. 490-495.
25. Farhat, C., and Geradin, M., 1994, "On a Component Mode Synthesis Method and Its Application to Incompatible Substructures," Computers and Structures, Vol. 51, pp. 459-473.
26. Flashner, H., 1986, "An Orthogonal Decomposition Approach to Modal Synthesis," International Journal for Numerical Methods in Engineering, Vol. 23, pp. 471-493.
27. Ginsberg, J. H., and McDaniel, J. G., 1991, "An Acoustic Variational Principle and Component Mode Synthesis Applied to the Analysis of Acoustic Radiation from a Concentrically Stiffened Plate," ASME Journal of Vibration and Acoustics, Vol. 113, pp. 401-408.
28. Gladwell, G. M. L., 1964, "Branch Mode Analysis of Vibrating Systems," Journal of Sound and Vibration, Vol. 1, pp. 41-59.
29. Glasgow, D. A., and Nelson, H. D., 1980, "Stability Analysis of Rotor-Bearing Systems Using Component Mode Synthesis," ASME Journal of Mechanical Design, Vol. 102, pp. 352-359.
30. Goldman, R. L., 1969, "Vibration Analysis by Dynamic Partitioning," AIAA Journal, Vol. 7, pp. 1152-1154.
31. Grief, R., 1986, "Substructuring and Component Mode Synthesis," The Shock and Vibration Digest, Vol. 18, pp. 3-8.
32. Haggblad, B., and Eriksson, L., 1993, "Model Reduction Methods for Dynamic Analysis of Large Structures," Computers and Structures, Vol. 47, pp. 735-749.
33. Hale, A. L., and Meirovitch, L., 1980, "A General Substructures Synthesis Method for Dynamic Simulation of Complex Structures," Journal of Sound and Vibration, Vol. 69, pp. 309-326.
34. Hale, A. L., and Meirovitch, L., 1982, "A Procedure for Improving Discrete Substructure Representation in Dynamic Synthesis," AIAA Journal, Vol. 20, pp. 1128-1136.
35. Hale, A. L., 1984, "Substructure Synthesis and Its Iterative Improvement for Large Nonconservative Vibratory Systems," AIAA Journal, Vol. 22, pp. 265-272.
36. Hasselman, T. K., and Kaplan, A., 1974, "Dynamic Analysis of Large Systems by Complex Mode Substitution," ASME Journal of Dynamic Systems, Measurement and Control, Vol. 96, pp. 327-333.
37. Hintz, R. M., 1975, "Analytical Methods in Component Mode Synthesis," AIAA Journal, Vol. 13, pp. 1007-1016.
38. Hou, S., 1969, "Review of Modal Synthesis Techniques and New Approach," Shock and Vibration Bulletin, Vol. 40, pp. 25-39.
39. Hurty, W. C., 1965, "Dynamic Analysis of Structural Systems Using Component Modes," AIAA Journal, Vol. 3, pp. 678-685.
40. Hurty, W. C., Collins, J. D., and Hart, G. C., 1971, "Dynamic Analysis of Large Structures by Modal Synthesis Technique," Computers and Structures, Vol. 1, pp. 535-563.
41. Irretier, H., and Schmidt, K. J., 1982, "Mistuned Bladed Disks - Dynamical Behavior and Computation," International Conference on Rotor Dynamics Problems in Power Plants, Sept. 28-Oct. 1, Rome, Italy.
42. Irretier, H., 1983, "Spectral Analysis of Mistuned Bladed Disk Assemblies by Component Mode Synthesis," Vibrations of Blades and Bladed Disks, ASME, pp. 115-120.
43. Jezequel, L., 1985, "A Hybrid Method of Modal Synthesis Using Vibration Tests," Journal of Sound and Vibration, Vol. 100, pp. 191-200.
44. Jezequel, L., and Seito, H. D., 1994, "Component Modal Synthesis Methods Based on Hybrid Models, Parts 1 and 2," ASME Journal of Applied Mechanics, Vol. 61, pp. 100-116.
45. Kubomura, K., 1982, "A Theory of Substructure Modal Synthesis," ASME Journal of Applied Mechanics, Vol. 49, pp. 903-909.
46. Kubomura, K., 1987, "Component Mode Synthesis for Damped Structures," AIAA Journal, Vol. 25, pp. 740-745.
47. Kuhar, E. J., and Stahle, C. V., 1974, "Dynamic Transformation Method for Modal Synthesis," AIAA Journal, Vol. 12, pp. 672-678.
48. Li, D. F., and Gunter, E. J., 1982, "A Study of the Modal Truncation Error in the Component Mode Analysis of a Dual-Rotor System," ASME Journal of Engineering for Power, Vol. 104, pp. 525-532.
49. Lou, M., Ghobarah, A., and Aziz, T. S., 1993, "Application of Wilson-Ritz Vectors in Dynamic Substructuring," International Journal of Solids and Structures, Vol. 30, pp. 3159-3170.
50. MacNeal, R. H., 1971, "A Hybrid Method of Component Mode Synthesis," Computers and Structures, Vol. 1, pp. 581-601.
51. Meirovitch, L., and Kwak, M. K., 1991, "Rayleigh-Ritz Based Substructure Synthesis for Flexible Multibody Systems," AIAA Journal, Vol. 29, pp. 1709-1719.
52. Meirovitch, L., and Kwak, M. K., 1992, "Inclusion Principle for the Rayleigh-Ritz Based Substructure Synthesis," AIAA Journal, Vol. 30, pp. 1344-1351.
53. Moon, J. D., and Cho, D. W., 1992, "Component Mode Synthesis Applied to Mechanisms for an Investigation of Vibration," Journal of Sound and Vibration, Vol. 157, pp. 67-79.
54. Nagamatsu, A., and Ookuma, M., 1981. "Analysis of Vibration by Component Mode Synthesis Method, (Part 1, Natural Frequency and Natural Mode)," Bulletin of JSME, Vol. 24, pp. 1448-1453.
55. Nelson, F. C., 1979, "A Review of Substructure Analysis of Vibrating Systems," The Shock and Vibration Digest, Vol. 11, pp. 3-9.
56. Nelson, H. D., Meacham, W. L., Fleming, D. P., and Kascak, A. F., 1983, "Nonlinear Analysis of Rotor Bearing Systems Using Component Mode Synthesis," ASME Journal of Engineering for Power, Vol. 105, pp. 606-614.
57. Noor, A. K., 1994, "Recent Advances and Applications of Reduction Methods," Applied Mechanics Reviews, Vol. 47, No. 5, pp. 125-146.
58. Ookuma, M., and Nagamatsu, A., 1984a, "Vibration Analysis by Multiple Component Mode Synthesis Method," Bulletin of JSME, Vol. 27, pp. 1288-1293.
59. Ookuma, M., and Nagamatsu, A., 1984b, "Comparison of Component Mode Synthesis with MSC-NAS-TRAN," Bulletin of JSME, Vol. 27, pp. 1294-1298.
60. Ookuma, M., and Nagamatsu, A., 1984c, "Analysis of Vibration by Component Mode Synthesis Method, (Part 4, Natural Frequency and Natural Mode)," Bulletin of JSME, Vol. 27, pp. 529-533.
61. Ookuma, M., and Nagamatsu, A., 1985, "Vibration Analysis by Substructure Synthesis Method, (Part 4, Calculation of Residual Compliance Matrix)," Bulletin of JSME, Vol. 28, pp. 905-910.
62. Parszewski, Z. A., and Krynicki, K., 1989, "Rotor-Bearing Systems Stability: Composition Approach with Bearing Shape Function Presentation," Tribology Transactions, Vol. 32, pp. 517-523.
63. Perlman, A. B., and Schaeffer, M. T., 1979, "The Application of Component Mode Synthesis to Covered Groups of Blades," ASME Design Engg. Technical Conf., St. Louis, Sept. 10-12.
64. Prakash, B. G., and Prabhu, M. S. S., 1986, "Reduction Techniques in Dynamic Substructures for Large Problems," Computers and Structures, Vol. 22, pp. 539-552.
65. Przemieniecki, J. S., 1963, "Matrix Structural Analysis of Substructures," AIAA Journal, Vol. 1, pp. 138-147.
66. Qian, D., and Hansen, J. S., 1995, "Substructure Synthesis Method for Frequency Response of Viscoelastic Structures," AIAA Journal, Vol. 33, pp. 520-527.
67. Reynoso, A. G., and Seering, W., 1991, "Dynamic Modeling of Systems with Translating Components," ASME Journal of Mechanical Design, Vol. 113, pp. 248-252.
68. Rubin, S., 1975, "Improved Component Mode Representation for Structural Dynamic Analysis," AIAA Journal, Vol. 13, pp. 995-1006.
69. Setareh, M., and Hanson, R. D., 1992, "Tuned Mass Dampers to Control Floor Vibration from Humans," ASCE Journal of Structural Engineering, Vol. 118, pp. 741-762.
70. Setareh, M., Hanson, R. D., and Peek, R., 1992, "Using Component Mode Synthesis and Static Shapes for Tuning TMDs," ASCE Journal of Structural Engineering, Vol. 118, pp. 763-782.
71. Shabana, A., and Wehage, R. A., 1983, "Variable Degree-of-Freedom Component Mode Analysis of Inertia Variant Flexible Mechanical Systems," ASME Journal of Mechanisms, Transmissions and Automation in Design, Vol. 105, pp. 371-378.
72. Sheu, C.-H., Roeck, G. D., Laethem, M. V., and Geyskens, P., 1989, "Multilevel Substructuring and an Experimental Sell-Adaptive Newton-Raphson Method for Two-Dimensional Nonlinear Analysis," Computers and Structures, Vol. 33, pp. 489-497.
73. Sheu, C.-H., Roeck, G. D., Laethem, M. V., and Geyskens, P., 1990, "Application of the Substructuring Technique to Nonlinear Dynamic Structural Analysis," Computers and Structures, Vol. 35, pp. 593-601.
74. Singh, M. P., and Suarez, L. E., 1992. "Dynamic Condensation with Synthesis of Substructure Eigenproperties," Journal of Sound and Vibration, Vol. 159, pp. 139-155.
75. Smet, M. D., Liefooghe, C., Sas, P., and Snoeys, P., 1989, "Dynamic Analysis of Flexible Structures Using Component Mode Synthesis," ASME Journal of Applied Mechanics, Vol. 56, pp. 874-880.
76. Suarez, L. E., and Singh, M. P., 1992, "Improved Fixed Interface Method for Modal Synthesis," AIAA Journal, Vol. 30, pp. 2952-2958.
77. Subbiah, R., Bhat, R. B., and Sankar, T. S., 1989, "Dynamic Response of Rotors Using Modal Reduction Techniques," ASME Journal of Vibration, Acoustics, Stress and Reliability in Design, Vol. 111, pp. 360-365.
78. Sunada, W. H., and Dubowsky, S., 1983, "On the Dynamic Analysis and Behavior of Industrial Robotic Manipulators with Elastic Members," ASME Journal of Mechanisms, Transmission and Automation in Design, Vol. 105, pp. 42-51.
79. Tavakoli, M. S., and Singh, R., 1989, "Eigensolutions of Joined/Hermetic Shell Structures Using the State Space Method," Journal of Sound and Vibration, Vol. 100, pp. 97-123.
80. Wang, J. H., and Chen, H. R., 1990, "A Substructure Modal Synthesis Method with High Computational Efficiency," Computer Methods in Applied Mechanics and Engineering, Vol. 79, pp. 203-217.
81. Wang, W., and Kirkhope, J., 1994a, "Component Mode Synthesis for Multi-Shaft Rotors with Flexible Inter-Shaft Bearings," Journal of Sound and Vibration, Vol. 173, pp. 537-556.
82. Wang, W., and Kirkhope, J., 1994b, "Component Mode Synthesis for Damped Rotor Systems with Hybrid Interfaces, "Journal of Sound and Vibration, Vol. 177, pp. 393-410.
83. Wilson, E. L., Yuan, M., and Dickens, J. M., 1982, "Dynamic Analysis by Direct Superposition of Ritz Vectors," Earthquake Engineering and Structural Dynamics, Vol. 10, pp. 813-821.
84. Wilson, E. L., and Bayo, E. P., 1986, "Use of Special Ritz Vectors in Dynamic Substructure Analysis," ASCE Journal of Structural Engineering, Vol. 112, pp. 1944-1954.
85. Wu, L., and Grief, R., 1983, "Substructuring and Modal Synthesis for Damped Systems," Journal of Sound and Vibration, Vol. 90, pp. 407-422.
86. Wu, S.-C., and Haug, E. J., 1990, "A Substructure Technique for Dynamics of Flexible Mechanical Systems with Contact-Impact," ASME Journal of Mechanical Design, Vol. 112, pp. 390-398.
87. Xu, M., and Marangoni, R. D., 1994, "Vibration Analysis of a Motor-Flexible Coupling-Rotor System Subject to Misalignment and Unbalance, Part 1: Theoretical Model and Analysis, Journal of Sound and Vibration, Vol. 176, pp. 663-679.
88. Yasui, Y., 1993, "Improved Mode Superposition Reanalysis Method," Computers and Structures, Vol. 48, pp. 711-717.
89. Yee, E. K. L., and Tsuei, Y. G., 1989, "Direct Component Modal Synthesis Technique for System Dynamic Analysis," AIAA Journal, Vol. 27, pp. 1083-1088.
90. Yee, E. K. L., and Tsuei, Y. G., 1990, "Transient Response by Component Modal Synthesis Method," ASME Journal of Vibration and Acoustics, Vol. 112, pp. 21-25.
91. Yee, V., 1990, "Reduction of Component Mode Synthesis Formulated Matrices for Correlation Studies," AIAA Journal, Vol. 28, pp. 1142-1143.
92. Zeng, Z. C., and Xie, G., 1992, "New Approach of the Dynamic Substructure Method," Acta Mechanica Solida Sinica, Vol. 5, pp. 407-418.
93. Zhong, W. X., Liu, Y. F., Lin, J. H., and Lu, X. 1988, "A 3D Analysis System of Jacket Platform DASOS-J," Proceeding of the International Conference on Computer Modeling in Ocean Engineering, Venice, pp. 81-88.