Research Papers: Gas Turbines: Structures and Dynamics

An Investigation on Dynamic Characteristics of a Gas Turbine Rotor Using an Improved Transfer Matrix Method

[+] Author and Article Information
Cheng Meng

e-mail: mcccwinter@sjtu.edu.cn

Ming Su

e-mail: msu@sjtu.edu.cn

Shaobo Wang

e-mail: bobo.kimi@ sjtu.edu.cn

College of Mechanical Engineering,
Shanghai Jiao Tong University,
No. 800 Dongchuan Road,
Minhang District, Shanghai 200240, China

Contributed by the Structures and Dynamics Committee of ASME for publication in the JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER. Manuscript received May 21, 2013; final manuscript received August 5, 2013; published online September 23, 2013. Editor: David Wisler.

J. Eng. Gas Turbines Power 135(12), 122505 (Sep 23, 2013) (8 pages) Paper No: GTP-13-1139; doi: 10.1115/1.4025234 History: Received May 21, 2013; Revised August 05, 2013

This paper presents an investigation on dynamic characteristics of a rod-fastened rotor. Based on the framework of a traditional Riccati transfer matrix method (TMM), an improved Riccati TMM considering contact effects brought by a face tooth is developed. A correction coefficient for equivalent stiffness imported from a three-dimensional (3D) finite element contact case analysis is defined to evaluate the contact effects, and then the dynamic model of the rod-fastened rotor including bearing support is established. A computer program is further developed to obtain the dynamic characteristics such as critical speeds of lateral vibration, mode shapes, and an unbalance response. The improved TMM is applied to investigate the dynamic characteristics of a real central tie rod rotor of the class-F gas turbine for verification of its effectiveness, and the calculated critical speeds are in good agreement with test measurement results, implying that the method is accurate and the dynamic model is reliable. This approach can also be applied to analyze other combined rotors with a homogeneous structure.

Copyright © 2013 by ASME
Your Session has timed out. Please sign back in to continue.


Zhang, S., and Wang, A., 2009, “Analysis of Vibration Characteristics of a Disk-Rod-Fastening Rotor,” Chin. J. Vib. Shock., 28(4), pp. 117–120. Available at: http://en.cnki.com.cn/Article_en/CJFDTOTAL-ZDCJ200904031.htm
Antony, S. J., Moreno-Atanasio, R., and Hassanpour, A., 2006, “Influence of Contact Stiffnesses on the Micromechanical Characteristics of Dense Particulate Systems Subjected to Shearing,” Appl. Phys. Lett., 89(21), pp. 1–3. [CrossRef]
Zhang, X., Wen, S., and Wu, M., 2004, “Intelligent Modeling of Contact Stiffness of Machine Joint Interfaces,” Proceedings of the 2004 International Conference on Information Acquisition, Hefei, China, June 21–25, pp. 5–8.
Banerjee, J. R., 2003, “Dynamic Stiffness Formulation and Its Application for a Combined Beam and a Two Degree-of-Freedom System,” ASME J. Vibr. Acoust., 125(3), pp. 231–358. [CrossRef]
Hariri, A., Zu.J. W., and Mrad, R. B., 2006, “Modeling of Elastic/Plastic Contact Between Nominally Flat Rough Surfaces Using an N-Point Asperity Model,” ASME J. Tribol., 128(4), pp. 873–878. [CrossRef]
Nélias, D., Boucly, V., and Brunet, M., 2006, “Elastic-Plastic Contact Between Rough Surfaces: Proposal for a Wear or Running-In Model,” ASME J. Tribol., 128(2), pp. 236–244. [CrossRef]
Zhang, Y. C., Du, Z. G., Shi, L. M., and Liu, S. Q., 2010, “Determination of Contact Stiffness of Rod-Fastened Rotors Based on Modal Test and Finite Element Analysis,” ASME J. Gas Turbines Power, 132(9), pp. 47–49. [CrossRef]
Gao, J., Yuan, Q., Li, P., and Feng, Z. P., 2012. “Effects of Bending Moments and Pretightening Forces on the Flexural Stiffness of Contact Interfaces in Rod-Fastened Rotors,” ASME J. Gas Turbines Power, 134(10), pp. 17–19. [CrossRef]
Zhong, Y., He, Y., and Wang, Z., 1987, Rotor Dynamics, 1st ed., Tsinghua University Press, Beijing, China.
Yuan, Q., Gao, R., and Fang, Z., 2008, “Analysis of Dynamic Characteristics of Gas Turbine Rotor Considering Contact Effects and Pre-Tightening Force,” Proceedings of the ASME Turbo Expo 2008, Berlin, Germany, June 9–13, pp. 983–998.
Abdul-Aziz, A., Baaklini, G. Y., and Trudell, J. J., 2001, “An Integrated NDE and FEM Characterization of Composite Rotors,” Proceedings of the Society of Photo-Optical Instrumentation Engineers, Newport Beach, CA, March 5–7, pp. 43–54.
Wang, A. L., and Luo, Z., 2009, “Study on Rod-Fastened Rotor's Torsional Vibration,” Chin. J. Vib. Shock., 28(5), pp. 165–168. Available at: http://en.cnki.com.cn/Article_en/CJFDTotal-ZDCJ200905039.htm
Choi, S., and Mau, S., 2001, “Dynamic Analysis of Geared Rotor-Bearing Systems by the Transfer Matrix Method,” ASME J. Mech. Design, 123(4), pp. 562–568. [CrossRef]
Lu, M. J., Geng, H. P., and Yang, B. S., 2010, “Finite Element Method for Disc-Rotor Dynamic Characteristics Analysis of Gas Turbine Rotor Considering Contact Effects and Rod Preload,” Proceedings of the 2010 IEEE International Conference on Mechatronics and Automation (ICMA), Xi'an, China, August 4–7, pp. 1179–1183. [CrossRef]
Gunter, E., and Chen, W., 2005, “Dynamic Analysis of an 1150 MW Turbine-Generator,” Proceedings of the ASME Power Conference 2005, Chicago, IL, April 5–7, ASME Paper No. PWR2005-50142, pp. 437–443. [CrossRef]
Yu, S., and Yuan, J., 2010, “Calculation of Rotor Critical Speeds From Permanent Magnet Synchronous Machine,” 2010 International Conference on Electrical and Control Engineering (ICECE), Wuhan, China, June 25–27, pp. 3439–3442. [CrossRef]


Grahic Jump Location
Fig. 1

Discretization of the rotor

Grahic Jump Location
Fig. 2

Mechanical model of the rod-fastened rotor

Grahic Jump Location
Fig. 3

The connection of a face tooth

Grahic Jump Location
Fig. 4

Simplified model of the bearing

Grahic Jump Location
Fig. 5

Finite element model of the meshing between a face tooth

Grahic Jump Location
Fig. 6

An equivalent normal stress–linear strain curve

Grahic Jump Location
Fig. 7

Relationship between the equivalent stiffness and the original stiffness

Grahic Jump Location
Fig. 8

Computation flow chart

Grahic Jump Location
Fig. 9

Dynamic model of a rod-fastened rotor

Grahic Jump Location
Fig. 10

Amplitude–frequency and phase–frequency curve

Grahic Jump Location
Fig. 11

Mode shape of 1380 rpm

Grahic Jump Location
Fig. 12

Mode shape of 2718 rpm

Grahic Jump Location
Fig. 13

Mode shape of 3727 rpm

Grahic Jump Location
Fig. 14

Response curve when adding weight on the first stage of the compressor

Grahic Jump Location
Fig. 15

Response curve when adding weight on the last stage of the compressor

Grahic Jump Location
Fig. 16

Response curve when adding weight on the first stage of the turbine

Grahic Jump Location
Fig. 17

Response curve when adding weight on the last stage of the turbine



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