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TECHNICAL PAPERS

Optimum Strain Gage Application to Bladed Assemblies

[+] Author and Article Information
J. Szwedowicz

Thermal Machinery Lab, ABB Turbo Systems Ltd., CH-5401 Baden, Switzerlande-mail: jaroslaw.szwedowicz@ch.abb.com

S. M. Senn, R. S. Abhari

Turbomachinery Lab, Swiss Federal Institute of Technology, Zurich, Switzerland

J. Turbomach 124(4), 606-613 (Nov 07, 2002) (8 pages) doi:10.1115/1.1506957 History: Received October 30, 2001; Online November 07, 2002
Copyright © 2002 by ASME
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References

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.
Purcell, T. E., May 1996, “Dynamic Stress Analysis of Gas Turbine Rotor Airfoil Using Thermoelastic Techniques,” Exp. Tech., pp. 9–13.
Studer, A., 1980, “Messortbestimmung für Schaufelschwingungsmessungen mit Dehnmesstreifen (Estimation of Strain Gauge Placements for Blade Vibration Measurement),” ABB Turbo Systems Ltd., Technischer Bericht HTX-ST 80024, Baden.
Nichol, K. L., 1991, “Strain-Gage Placement Considerations for Dynamic Data Analysis,” American Institute of Aeronautics and Astronautics, AIAA-91-1250, Tennessee.
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Sensmeier, M. D., and Nichol, K. L., 1998, “Numerical Strain Gage Representation,” American Institute of Aeronautics and Astronautics, AIAA-98-1720, Tennessee.
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Szwedowicz, J., 1999, “Cyclic Finite Element Modeling of Shrouded Turbine Blades Including Frictional Contact,” ASME Paper 99-GT-92.
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Figures

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The spatially curved pressure side of the impeller vane with the eight calculated optimal strain gage placements (nodes on the surface indicated with a dashed line are used in the optimization)
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Values of population’s for the maximum (upper figure) and average (bottom figure) fitness from the GA process
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Comparison of the gage positions obtained from the GA procedure and qualitative technique (upper figure), where the lower figure presents the maximum and average fitness for the optimized gage locations
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Optimization function Ψ of a single node for different orientations φ (where values Ψ are multiplied by 1×103)—(a) values Ψ in the linear scale, (b) values Ψ in the logarithmic scale
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Example of the impeller instrumented with strain gages (a) and illustration of the strain variation along the gage (b)
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Orientation of the ‘measurement’ axis of the strain gage in the nodal local reference system xyz
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Illustration of nodal complex dynamic strain components of the cyclic FE system in the complex domain
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FE mesh on the airfoil contour with the indicated nodal local reference system xyz, where the bigger and smaller circles denote the corner and mid-nodes, respectively
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The rotational periodic structure of N=9 cyclic sectors (a) and its cyclic finite element representation (b), where n is a nodal diameter number and l indicates a number of a cyclic sector

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