Optimum placements of the strain gages assure reliable vibration measurements of structural components such as rotating blades. Within the framework of cyclic vibration theory, a novel approach has been developed for computation of the optimum gage positions on tuned bladed disks regarding the determined sensitivity, orthogonality, gradient and distance criteria. The utilized genetic algorithm optimization tool allows for an effective numerical search of suitable solutions of the defined optimization function. A rotating impeller disk represented by a cyclic finite element model demonstrates the application of this method. The present technique can be easily applied to other structural components requiring optimal strain gage instrumentation.

1.
Kielb, J. J., and Abhari, R. S., 2001, “Experimental Study of Aerodynamic and Structural Damping in a Full-Scale Rotating Turbine,” ASME Paper 2001-GT-0262.
2.
Purcell, T. E., May 1996, “Dynamic Stress Analysis of Gas Turbine Rotor Airfoil Using Thermoelastic Techniques,” Exp. Tech., pp. 9–13.
3.
Studer, A., 1980, “Messortbestimmung fu¨r Schaufelschwingungsmessungen mit Dehnmesstreifen (Estimation of Strain Gauge Placements for Blade Vibration Measurement),” ABB Turbo Systems Ltd., Technischer Bericht HTX-ST 80024, Baden.
4.
Nichol, K. L., 1991, “Strain-Gage Placement Considerations for Dynamic Data Analysis,” American Institute of Aeronautics and Astronautics, AIAA-91-1250, Tennessee.
5.
Sensmeier, M. D., and Nichol, K. L., 1998, “Minimizing Vibratory Strain Measurement Error,” Proceedings of the 1998 International Gas Turbine & Aeroengine Congress & Exhibition, 98-GT-257, Stockholm.
6.
Sensmeier, M. D., and Nichol, K. L., 1998, “Numerical Strain Gage Representation,” American Institute of Aeronautics and Astronautics, AIAA-98-1720, Tennessee.
7.
Sensmeier, M. D., and Nichol, K. L., 1998, “Optimum Placement of Sensors for Vibration Measurements on Turbine Engine Blades,” American Institute of Aeronautics and Astronautics, AIAA-98-1849, Tennessee.
8.
Griffin
,
J. H.
, April
1992
, “
Optimizing Instrumentation When Measuring Jet Engine Blade Vibration
,”
ASME J. Eng. Gas Turbines Power
,
114
, pp.
217
221
.
9.
Thomas
,
D. L.
,
1974
, “
Standing Waves in Rotationally Periodic Structures
,”
J. Sound Vib.
,
37
, pp.
288
290
.
10.
Szwedowicz, J., 1999, “Cyclic Finite Element Modeling of Shrouded Turbine Blades Including Frictional Contact,” ASME Paper 99-GT-92.
11.
ABAQUS/Standard, 2001, User’s Manual Vol. I-III, Hibbit, Karlsson & Sorensen, Inc., USA.
12.
Zeng, F. L., 1991, “On Adaptive Finite Element Procedures for Static and Dynamic Problems,” Chalmers University of Technology, Ph.D. thesis, Publication 91:15, Goteborg, Sweden.
13.
Timoshenko, S. P., and Goodier, J. N., 1984, Theory of Elasticity, 3rd Ed., McGraw-Hill International Book Company, London.
14.
Goldberg, D. E., 1989, “Genetic Algorithms in Search, Optimization and Machine Learning,” Addison-Wesley, New York.
15.
Simpson, M. T., and Hansen, C. H., 1996, “Use of Genetic Algorithms for Optimizing Vibration Actuator Placement for Minimizing Sound Transmission Into Enclosed Spaces,” SPIE Vol. 2717, pp. 409–421.
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