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
Your Session has timed out. Please sign back in to continue.


Kidder,  R. L., 1973, “Reduction of Structural Frequency Equations,” AIAA J., 11, p. 892.
Paz,  M., 1982, “Practical Reduction of Structural Eigenproblems,” J. Struct. Eng., 109, pp. 2591–2599.
Friswell,  M. I., Garvey,  S. D., and Penny,  J. E. T., 1995, “Model Reduction Using Dynamic and Iterated IRS Techniques,” J. Sound Vib., 186, pp. 311–323.
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.
Manoj,  K. G., and Bhattacharya,  S. K., 1997, “A Block Solver for Large, Unsymmetric, Sparse, Banded Matrices with Symmetric Profiles,” Int. J. Numer. Methods Eng., 40, pp. 3279–3295.
Chapra, S. c., and Canale, R. P., 1989, Numerical Methods for Engineers, McGraw-Hill, London.
Dimentberg, F. M., 1961, Flexural Vibrations of Rotating Shafts, Butterworths, London.
Gunter, E. J., Jr., 1966, “Dynamic Stability of Rotor Bearing Systems,” NASA SP-113.
Zorzi,  E. S., and Nelson,  H. D., 1977, “Finite Element Simulation of Rotor-Bearing Systems With Internal Damping,” ASME J. Turbines Power, 99, Ser. A, pp. 71–76.
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.


Grahic Jump Location
Substructures and coupling elements
Grahic Jump Location
Rotor bearing system and finite element model for Example Problem 1
Grahic Jump Location
(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.
Grahic Jump Location
Example Problem 1. Campbell diagram for rotor-bearing system after dynamic condensation with 12 master degrees-of-freedom. –isotropic bearings, [[dashed_line]]orthotropic bearings.
Grahic Jump Location
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.
Grahic Jump Location
Example Problem 2. Campbell diagram for dual rotor-bearing system after dynamic condensation (with undamped isotropic bearings).




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In