Manual for Calibrating Sound Speed and Poisson’s Ratio of (Split) Hopkinson Bar via Dispersion Correction Using Excel ® and Matlab ® Templates

Hyunho Shin
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Hyunho Shin: Mechanics of Materials and Design Laboratory, Department of Materials Engineering, Gangneung-Wonju National University, 7 Jugheon-ghil, Gangneung 25457, Gangwon-do, Korea

Data, 2022, vol. 7, issue 5, 1-18

Abstract: This manual presents a procedure to calibrate the one-dimensional sound speed ( c o ) and Poisson’s ratio ( ν ) of a (split) Hopkinson bar using the open-source templates written in Excel ® and Matlab ® for dispersion correction. The Excel ® template carries out the Fourier synthesis and one-time dispersion correction of a traveling elastic pulse under a given set of c o and ν . The MATLAB ® template performs the Fourier synthesis and iterative dispersion correction of a traveling elastic pulse for a range of c o and ν sets. In the case of the iterative dispersion correction, a set of c o and ν is assumed at each iteration step, and the sound speed vs. frequency ( c dc vs. f dc ) relationship necessary for dispersion correction is obtained under the assumed set by solving the Pochhammer–Chree equation. Subsequently, dispersion correction is carried out by using the c dc vs. f dc relationship. The c o and ν values of the bar are determined in the iteration process when the dispersion-corrected pulse profiles are reasonably consistent with the measured ones at two travel distances (2103 and 4000 mm) in the bar. In the case of the experimental profile considered herein, the ν and c o values were calibrated to six and four decimal places, respectively. The calibration algorithm is described with the tips for using the open-source templates, which are available online in a publicly accessible repository.

Keywords: elastic wave propagation; Fourier synthesis; Pochhammer–Chree equation; phase shift; wave profile prediction; frequency; impact; Kolsky bar (search for similar items in EconPapers)
JEL-codes: C8 C80 C81 C82 C83 (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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