A total understanding of rotating machinery vibration analysis requires evaluation of critical speed placement, forced response sensitivity to imbalance, linear onset of instability prediction and full non-linear response analysis. Of these four areas of analysis, only the first three are applied as a basic design tool in modern turbo-machinery analysis. The prediction of multi-mass flexible rotor steady-state elliptic orbit response, including bearing damping and support flexibility, has been and remains in this author’s opinion, to be the basic workhorse and keystone of machinery design. This has now been true for over 35 years. The person responsible for developing this basic method of analysis has been a longtime friend of many engineers worldwide. This paper is written to acknowledge this contribution, one of many in fact, made by Jørgen W. Lund and is presented in memory of his life’s work at this occasion of honoring his contributions to our profession. A short section on the methods and understanding gained from the basic analysis will be presented. Finally, some personal reflections will be given concerning Jørgen Lund.

Issue Section:
Technical Papers
Keywords:
machine theory, vibrations, damping, rotation, classical mechanics, Synchronous, Response, Imbalance, Modeling
Topics:
Bearings, Design, Machinery, Rotors, Vibration, Whirls, Damping, Modeling, Reflection, Engineers
1.
Jeffcott
,
H. H.
,
1919
, “
The Lateral Vibrations of Loaded Shafts in the Neighborhood of a Whirling Speed… The Effect of Want of Balance
,”
Philos. Mag.
,
37
(
6
), pp.
304
–
314
.
2.
Prohl
,
M. A.
,
1945
, “
A General Method for Calculating Critical Speeds of Flexible Rotors
,”
ASME J. Appl. Mech.
,
12
(
3
), pp.
142
–
148
.
3.
Tang
,
T. M.
, and
Trumpler
,
P. R.
,
1964
, “
Dynamics of Synchronous Precessing Turborotors With Particular Reference to Balancing; Part I, Theoretical Foundations
,”
ASME J. Appl. Mech.
,
31
(
1
), March, pp.
115
–
122
.
4.
Kirk, R. G., 1972, “Nonlinear Transient Analysis of Multi-Mass Flexible Rotors,” Ph.D. Dissertation, University of Virginia, June.
5.
Lund
,
J. W.
, and
Sternlicht
,
B.
,
1962
, “
Rotor-Bearing Dynamics With Emphasis on Attenuation
,”
ASME J. Basic Eng.
,
84
(
4
), pp.
491
–
502
.
6.
Rouch
,
K. E.
, and
Kao
,
J. S.
,
1979
, “
A Tapered Beam Finite Element for Rotor Dynamics Analysis
,”
J. Sound Vib.
,
66
, pp.
119
–
140
.
7.
Nelson
,
H. D.
,
1980
, “
A Finite Rotating Shaft Element Using Timoshenko Beam Theory
,”
ASME J. Mech. Des.
,
102
(
10
), pp.
793
–
803
.
8.
Nelson
,
H. D.
, and
McVaugh
,
J. M.
,
1975
, “
The Dynamics of Rotor-Bearing Systems Using Finite Elements
,”
ASME J. Eng. Ind.
,
98
(
2
), pp.
593
–
600
.
9.
Lund
,
J. W.
, and
Orcutt
,
F. K.
,
1967
, “
Calculations and Experiments on the Unbalance Response of a Flexible Rotor
,”
ASME J. Eng. Ind.
,
89
(
4
), pp.
785
–
796
.
10.
Lund, J. W., 1965, Rotor-Bearing Dynamics Technology, Part V, AFAPL-TR-65-45, Aero Propulsion Lab, Wright-Patterson Air Force Base, Dayton, Ohio, May.
11.
Lund, J. W., 1988, “Keynote Paper: Topics in Rotor Dynamics,” The Second International Symposium on Transport Phenomena, Dynamics and Design of Rotating Machinery, Honolulu, Hawaii, pp. 205–211.
12.
Kirk, R. G., and Gunter, E. J., 1973, “Nonlinear Transient Analysis of Multi-Mass Flexible Rotors-Theory and Applications,” NASA CR 2300.
13.
Yamamoto, T., 1954, “On the Critical Speeds of a Shaft,” Memoirs of the Faculty of Engineering, Nagoya University, Japan.
14.
Kirk
,
R. G.
,
Raju
,
K. V. S.
, and
Ramesh
,
K.
,
1999
, “
PC-Based Analysis of Turbomachinery Vibration
,”
Shock Vib. Dig.
,
31
(
6
), pp.
449
–
454
.
15.
Faulkner, H., Strong, W., and Kirk., R. G., 1997, “Thermally Induced Synchronous Instability of a Radial Inflow Overhung Turbine PART I,” Proceedings of ASME Design Technical Vibrations Conference, Sacramento, CA., Sept.
16.
Faulkner, H., Strong, W., and Kirk., R. G., 1997, “Thermally Induced Synchronous Instability of a Radial Inflow Overhung Turbine PART II,” Proceedings of ASME Design Technical Vibrations Conference, Sacramento, CA, Sept.
17.
Kirk
,
R. G.
, and
Gunter
,
E. J.
,
1972
, “
The Effect of Support Flexibility and Damping on the Synchronous Response of a Single-Mass Flexible Rotor
,”
ASME J. Eng. Ind.
,
94
(
1
), pp.
221
–
232
.
18.
Kirk, R. Gordon, 1998, “Observation of Disk Axial Face Instability,” Proceedings of 1998 IFTOMM Conference, Darmstadt Technical University Germany, Sept., pp. 595–604.
Copyright © 2003
 by ASME
You do not currently have access to this content.