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Obtaining derivatives from experimental data using smoothed-spline functions

The smoothed cubic spline is presented for use in obtaining high-quality derivatives from experimental data and example applications are shown for scattered-light photoelasticity and the bending of beams

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Abstract

The smoothed spline is presented as a method for obtaining high-quality derivatives in experimental-mechanics problems. The smoothed spline is discussed and methods for controlling the amount of smoothing and for avoiding derivative approximation deficiencies at the spline boundaries are presented. Applications are examined for scattered-light photoelasticity and the bending of beams.

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Authors and Affiliations

  1. Engineering Science and Mechanics, Georgia Institute of Technology, 30332, Atlanta, Ga

    D. G. Berghaus (Assistant Professor)

  2. Solid Mechanics, Structures and Mechanical Design, Case Western Reserve University, 44106, Cleveland, Ohio

    J. P. Cannon (Associate Professon)

Authors
  1. D. G. Berghaus
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  2. J. P. Cannon
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Berghaus, D.G., Cannon, J.P. Obtaining derivatives from experimental data using smoothed-spline functions. Experimental Mechanics 13, 38–42 (1973). https://doi.org/10.1007/BF02319311

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  • DOI: https://doi.org/10.1007/BF02319311

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