Dynamic analysis of geared rotor-bearing systems by the transfer matrix method

Siu Tong Choi, Sheng Yang Mau

Research output: Chapter in Book/Report/Conference proceedingChapter

4 Citations (Scopus)

Abstract

In this paper, an analytical study of the dynamic characteristics of geared rotor-bearing systems by the transfer matrix method is presented. Rotating shafts are modeled as Timoshenko beam with shear deformation and gyroscopic effects taken into account. The gear mesh is modeled as a pair of rigid disks connected by a spring-damper set and a transmission-error exciter. The transfer matrix of a gear mesh is developed. The coupling motions of the lateral and torsional vibration are studied. In free vibration analysis of geared rotor systems, natural frequencies and corresponding mode shapes, and the whirl frequencies under different spin speeds are determined. Effects of bearing stiffness, isotropic and orthotropic bearings, pressure angle of the gear mesh are studied. In steady-state vibration analysis, responses due to the excitation of mass unbalance and the transmission error are studied. Parametric characteristics of geared rotor systems are discussed.

Original languageEnglish
Title of host publication15th Biennial Conference on Mechanical Vibration and Noise
EditorsK.W. Wang, B. Yang, J.Q. Sun, K. Seto, K. Yoshida, al et al
Pages967-976
Number of pages10
Edition3 Pt B/2
Publication statusPublished - 1995 Dec 1
EventProceedings of the 1995 ASME Design Engineering Technical Conference. Part C - Boston, MA, USA
Duration: 1995 Sep 171995 Sep 20

Publication series

NameAmerican Society of Mechanical Engineers, Design Engineering Division (Publication) DE
Number3 Pt B/2
Volume84

Other

OtherProceedings of the 1995 ASME Design Engineering Technical Conference. Part C
CityBoston, MA, USA
Period95-09-1795-09-20

Fingerprint

Bearings (structural)
Transfer matrix method
Dynamic analysis
Gears
Rotors
Vibration analysis
Shear deformation
Vibrations (mechanical)
Natural frequencies
Stiffness

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Choi, S. T., & Mau, S. Y. (1995). Dynamic analysis of geared rotor-bearing systems by the transfer matrix method. In K. W. Wang, B. Yang, J. Q. Sun, K. Seto, K. Yoshida, & A. et al (Eds.), 15th Biennial Conference on Mechanical Vibration and Noise (3 Pt B/2 ed., pp. 967-976). (American Society of Mechanical Engineers, Design Engineering Division (Publication) DE; Vol. 84, No. 3 Pt B/2).
Choi, Siu Tong ; Mau, Sheng Yang. / Dynamic analysis of geared rotor-bearing systems by the transfer matrix method. 15th Biennial Conference on Mechanical Vibration and Noise. editor / K.W. Wang ; B. Yang ; J.Q. Sun ; K. Seto ; K. Yoshida ; al et al. 3 Pt B/2. ed. 1995. pp. 967-976 (American Society of Mechanical Engineers, Design Engineering Division (Publication) DE; 3 Pt B/2).
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Choi, ST & Mau, SY 1995, Dynamic analysis of geared rotor-bearing systems by the transfer matrix method. in KW Wang, B Yang, JQ Sun, K Seto, K Yoshida & A et al (eds), 15th Biennial Conference on Mechanical Vibration and Noise. 3 Pt B/2 edn, American Society of Mechanical Engineers, Design Engineering Division (Publication) DE, no. 3 Pt B/2, vol. 84, pp. 967-976, Proceedings of the 1995 ASME Design Engineering Technical Conference. Part C, Boston, MA, USA, 95-09-17.

Dynamic analysis of geared rotor-bearing systems by the transfer matrix method. / Choi, Siu Tong; Mau, Sheng Yang.

15th Biennial Conference on Mechanical Vibration and Noise. ed. / K.W. Wang; B. Yang; J.Q. Sun; K. Seto; K. Yoshida; al et al. 3 Pt B/2. ed. 1995. p. 967-976 (American Society of Mechanical Engineers, Design Engineering Division (Publication) DE; Vol. 84, No. 3 Pt B/2).

Research output: Chapter in Book/Report/Conference proceedingChapter

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AB - In this paper, an analytical study of the dynamic characteristics of geared rotor-bearing systems by the transfer matrix method is presented. Rotating shafts are modeled as Timoshenko beam with shear deformation and gyroscopic effects taken into account. The gear mesh is modeled as a pair of rigid disks connected by a spring-damper set and a transmission-error exciter. The transfer matrix of a gear mesh is developed. The coupling motions of the lateral and torsional vibration are studied. In free vibration analysis of geared rotor systems, natural frequencies and corresponding mode shapes, and the whirl frequencies under different spin speeds are determined. Effects of bearing stiffness, isotropic and orthotropic bearings, pressure angle of the gear mesh are studied. In steady-state vibration analysis, responses due to the excitation of mass unbalance and the transmission error are studied. Parametric characteristics of geared rotor systems are discussed.

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Choi ST, Mau SY. Dynamic analysis of geared rotor-bearing systems by the transfer matrix method. In Wang KW, Yang B, Sun JQ, Seto K, Yoshida K, et al A, editors, 15th Biennial Conference on Mechanical Vibration and Noise. 3 Pt B/2 ed. 1995. p. 967-976. (American Society of Mechanical Engineers, Design Engineering Division (Publication) DE; 3 Pt B/2).