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TECHNICAL PAPERS

Dynamic Condensation and Synthesis of Unsymmetric Structural Systems

[+] Author and Article Information
G. Visweswara Rao

Engineering Mechanics Research India (P) Ltd., 607/907 M. G. Road, Bangalore 560001, India

J. Appl. Mech 69(5), 610-616 (Aug 16, 2002) (7 pages) doi:10.1115/1.1432988 History: Received October 07, 2000; Revised August 10, 2001; Online August 16, 2002
Copyright © 2002 by ASME
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References

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Guyan,  R. J., 1965, “Reduction of Stiffness and Mass matrices,” AIAA J., 3, p. 380.
Suarez,  L. E., and Singh,  M. P., 1992, “Dynamic Condensation Method for Structural Eigenvalue Analysis,” AIAA J., 30, pp. 1046–1054.
Qu,  Z. Q., and Fu,  Z. F., 1998, “New Structural Dynamic Condensation Method for Finite Element Models,” AIAA J., 36, pp. 1320–1324.
Kane,  K., and Torby,  B. J., 1991, “The Extended Modal Reduction Method Applied to Rotor Dynamic Problems,” ASME J. Vibr. Acoust., 113, pp. 79–84.
Glasgow,  D. A., and Nelson,  H. D., 1980, “Stability Analysis of Rotor-Bearing Systems Using Component Mode Synthesis,” ASME J. Mech. Des., 102, pp. 352–359.
Li,  D. F., and Gunter,  E. J., 1982, “Component Mode Synthesis of Large Rotor Systems,” ASME J. Eng. Power, 104, pp. 552–560.
Rajakumar,  C., and Rogers,  C. R., 1991, “The Lanczos Algorithm Applied to Unsymmetric Generalized Eigenvalue Problems,” Int. J. Numer. Methods Eng., 32, pp. 1009–1026.
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Chapra, S. c., and Canale, R. P., 1989, Numerical Methods for Engineers, McGraw-Hill, London.
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Gunter, E. J., Jr., 1966, “Dynamic Stability of Rotor Bearing Systems,” NASA SP-113.
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Nelson,  H. D., and McVaugh,  J. M., 1976, “The Dynamics of Rotor-Bearing Systems Using Finite Elements,” J. Eng. Ind., 98, pp. 593–600.
Rao, J. S., 1996, Rotor Dynamics, 3rd Ed., New Age International (p) Ltd., New Delhi.

Figures

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Example Problem 2. Campbell diagram for dual rotor-bearing system after dynamic condensation (with undamped isotropic bearings).
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Substructures and coupling elements
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Rotor bearing system and finite element model for Example Problem 1
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(a) Example Problem 1. Percentage error between full and reduced-order model whirl frequencies. Case 1. System with isotropic bearings. (b) Example Problem 1. Percentage error between full and reduced-order model whirl frequencies. Case 2. System with orthotropic bearings.
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Example Problem 1. Campbell diagram for rotor-bearing system after dynamic condensation with 12 master degrees-of-freedom. –isotropic bearings, [[dashed_line]]orthotropic bearings.
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Example Problem 2. (a) Dual rotor-bearing system. (b) Two substructures. Finite element model for the inner and outer shafts of dual rotor, disk, and bearings.

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