Coupled Torsional and Transverse Vibration of a Back-to-Back Gearbox Rig

Abstract

The coupled torsional and transverse vibration of a back-to-back gearbox system has been investigated experimentally and analytically. Receptance methods were used to model the system, and were shown to be effective. A detailed experimental modal analysis was performed using the swept-sine technique with an a.c. servomotor torsional exciter. Torsional excitation allowed for the dynamic response to be measured up to 1600 Hz. The model included a combination of lumped mass elements and continuous shafts with distributed inertia and damping. The bearings were modelled as having both radial and tilt stiffness and damping elements. The model simulated the experimental results well and predicted each of the first 11 natural frequencies to within 8 per cent. Of the 11 natural frequencies, 9 simulated deflected shapes matched very well, validating the modelling approach taken for the project together with the assumptions made in the derivation of the model. This paper presents the detailed results of a full torsional/transverse model analysis of the gearbox system.

Keywords

spur gears torsional vibration transverse vibration frequency domain receptance analysis

Get full access to this article

View all access options for this article.

References

Leishman

B. A.

Drew

S. J.

Stone

B. J.

Torsional vibration of a back-to-back gearbox rig. Part 1: Frequency domain modal analysis

Proc. Instn Mech. Engrs, Part K: J. Multi-body Dynamics, 2000, 214 (K3), 143–162.

Leishman

B. A.

Drew

S. J.

Stone

B. J.

Torsional vibration of a back-to-back gearbox rig. Part 2: Time domain modelling and verification

Proc. Instn Mech. Engrs, Part K: J. Multi-body Dynamics, 2000, 214 (K3), 163–179.

Sargeant

Stone

B. J.

Coupled torsional and transverse vibration of gearboxes

Conference on Multi-body Dynamics, Loughborough, 2004, 299–310.

Lund

J. W.

Critical speeds, stability and response of a geared train of rotors

J. Mech. Design, 1978, 100 (2), 535–539.

Iida

Tamura

Kikuch

Agata

Coupled torsional-flexural vibration of a shaft in a geared system of rotors (1st report)

Bull. JSME, 1980, 186, 2111–2117.

Iida

Tamura

Oonishi

Coupled torsional-flexural vibration of a shaft in a geared system (3rd report, dynamic characteristics of a counter shaft in a gear train system)

Bull. JSME, 1985, 245, 2694–2698.

Iida

Tamura

Yamamoto

Dynamic characteristics of a gear train system with softly supported shafts

Bull. JSME, 1986, 29, 1811–1816.

Simmons

H. R.

Smalley

A. J.

Lateral gear shaft dynamics control torsional stresses in turbine-driven compressor train

Trans ASME, J. Engng Gas Turbines and Power, 1984, 106, 946–951.

Neriya

S. V.

Bhat

R. B.

Sankar

T. S.

Coupled torsional-flexural vibration of a geared shaft system using finite element analysis

Shock and Vibration Bull., 1985, 55, 13–25.

10.

Kahraman

Ozguven

Nevzat H.

Houser

Zakrajsek

Dynamic analysis of geared rotors by finite elements

J. Mech. Design, 1992, 114, 507–514.

11.

Choi

S. H.

Glienicke

Han

D. C.

Urlichs

Dynamic gear loads due to coupled lateral, torsional and axial vibrations in a helical geared system

Trans ASME, J. Vibration and Acoustics, 1999, 121, 141–148.

12.

Drew

S. J.

Stone

B. J.

Torsional (rotational) vibration: Excitation of small rotating machines

J. Sound and Vibration, 1997, 201, 437–463.

13.

Bishop

R. E.D.

Johnson

D. C.

The mechanics of vibration, 1960 (Cambridge University Press, Cambridge).

14.

Hesterman

D. C.

Coding and receptance modelling of 6D systems, 2002. Private communication, University of Western Australia.

15.

Sargeant

M. A.

Coupled torsional and transverse vibration in geared rotors. Honours dissertation, School of Mechanical Engineering, University of Western Australia, 2003.

16.

Derry

Drew

S. J.

Stone

B. J.

The torsional vibration of a damped continuous bar

Proceedings of the VIII International Congress on Experimental Mechanics, Nashville, Tennessee, 1996, pp. 72–73.

17.

Drew

S. J.

Stone

B. J.

Torsional damping of a back-to-back gearbox rig: Experimental measurements and frequency domain modelling

Proc. Instn Mech. Engrs, Part K: J. Multi-body Dynamics, 2002, 216, 157–168.

18.

Yoon

K. Y.

Rao

S. S.

Dynamic load analysis of spur gears using a new tooth profile

Trans ASME, J. Mech. Design, 1996, 118, 1–6.

19.

Turnbull

The torsional vibration characteristics of bearings. Honours dissertation, University of Western Australia, 2001.

20.

Stone

B. J.

The state of the art in the measurement of the stiffness and damping of rolling element bearings. Keynote Paper, CIRP, 1982, Vol. 31/2/1982.