A Note on Computational Rotor Dynamics

Author:

Chen W. J.1

Affiliation:

1. Centrifugal Compressor Division, Ingersoll-Rand Company, Mayfieid, Kentucky

Abstract

Concise equations for improvements in computational efficiency on dynamics of rotor systems are presented. Two coordinate ordering methods are introduced in the element equations of motion. One is in the real domain and the other is in the complex domain. The two coordinate ordering algorithms lead to compact element matrices. A station numbering technique is also proposed for the system equations during the assembly process. The proposed numbering technique can minimize the matrix bandwidth, the memory storage and can increase the computational efficiency. Numerical examples are presented to demonstrate the benefit of the proposed algorithms.

Publisher

ASME International

Subject

General Engineering

Reference12 articles.

1. Childs D. W. , and GravissK., 1982, “A Note on Critical-Speed Solutions for Finite-Element-Based Rotor Models,” ASME Journal of Mechanical Design, Vol. 104, pp. 412–416.

2. Chen, W. J., Zeidan, F. Y., and Jain, D., 1994, “Design, Analysis, and Testing of High Performance Bearings in a High Speed Integrally Geared Compressor,” Proceedings of 23rd Turbomachinery Symposium, Texas A&M University, Texas.

3. Ehrich, F. F., 1992, Handbook of Rotor-dynamics, McGraw-Hill, New York, Chapter 2.

4. Genta G. , 1988, “Whirling of Unsymmetrical Rotors: A Finite Element Approach based on Complex Co-ordinates,” Journal of Sound and Vibration, Vol. 124, No. 1, pp. 27–53.

5. Gunter, E. J., Fang, Z., and Henderson, J. R., 1994, “Static and Dynamic Analysis of a 1150 MW Turbine-Generator System—Part I: Static Analysis,” Proceedings of Eighteenth Annual Meeting, Vibration Institute, Illinois.

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