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Chebyshev analysis of stress concentrations

Method of Chebyshev curve fitting is specialized for data obtained in the presence of stress concentrations

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Abstract

A specialized method of Chebyshev polynomial curve fitting is developed for stress-concentration analysis. The method is shown to be both economical and highly accurate.

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References

  1. See, for example, Hildebrand, F. B., Introduction to Numerical Analysis, McGraw-Hill Book Co., New York, 258–290 (1956),and Fröberg, C. E., Introduction to Numerical Analysis, Addison Wesley Publishing Co., Reading, Mass., 217–231 (1967). Many computationally useful results are to be found in Handbook of Mathematical Functions, Applied Math Series, 55, National Bureau of Standards, 771–802 (1964).

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  2. McKinley, J. W., andIshihara, T., “Chebyshev Polynomial Curvefitting Technique for Strain-gage Applications,”Proc. SESA, XXIV (1),276–278 (1967).

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Authors and Affiliations

  1. Department of Mechanical and Aerospace Sciences, University of Rochester, Rochester, N. Y.

    Edward B. Goldman (Assistant Professor)

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  1. Edward B. Goldman
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Goldman, E.B. Chebyshev analysis of stress concentrations. Experimental Mechanics 10, 127–129 (1970). https://doi.org/10.1007/BF02325117

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  • DOI: https://doi.org/10.1007/BF02325117

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