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Reconstruction Method on Curve of Explosive Shock Wave in the Air |
YAO Yue,DING Yong-hong,PEI Dong-xing,ZHANG Xiao-guang |
Science and Technology on Electric Test and Measurement Laboratory, North University of China, Taiyuan,Shanxi 030051, China |
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Abstract To reconstruct shock wave overpressure curve effectively, a method on reconstructing the shock wave curve in the air was proposed. Gauss-Newton algorithm was used to get the nonlinear regression curve of the actual shock wave curve, getting the best regression curve from the gradient-direction iterative process of the target parameters and obtaining the actual attenuation coefficient. Establishing a cartesian coordinate system with the explosive source as the origin on the ground, overpressure peak and attenuation coefficient of test point respectively have the polynomial function relationship with test point coordinates. Zippel interpolation algorithm was used to obtain the global optimal solutions of the items' weights in the function, obtaining the overpressure peak and attenuation coefficient of the unknown test points, and reconstructing the shock wave curve. The result showed that the average errors of reconstructed attenuation curves obtained by the method and actual measurement curves is within 17%.
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Received: 14 May 2018
Published: 10 June 2019
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