Application of Mathematical Programming for Analysis of Experimental Data Obtained at the Hopkinson’s Stand

Abstract

One of the most common methods for studying the behavior of materials in the speed range deformation 10²–10⁴ is the use of the split Hopkinson-Kolsky bar (Hopkinson, Philos. Trans. R. Soc. A Math. Phys. Eng. Sci. 213:437–456, 1914; Kolsky, Proc. Phys. Soc. Lond. B62:676–700, 1949). There are various methods through calibration of such experimental stands (Nikolaeva, Matematic. Model. Sist. Protses. 11:87–93, 2003); however, these methods do not resolve a number of factors: the variance of forms of the loading pulse, inaccuracy timing pulses and the presence of noise components, etc., which influence on the methods of determining properties of materials, such as incubation time destruction (Petrov, Dokl. Phys. 49:246–249, 2004). Therefore, it is necessary to use digital signal processing techniques for filtering and analysis of experimental data as an interconnected triad of the loading, the reflected, and transmitted pulses.