Study on Lagrange Analysis with Least Squares in Attenuating Waves

The existing reactive flow Lagrange analysis methods are still inadequate to solve the particle velocity history from a series of gauges embedded in material.Based on this point, a new Lagrange analysis method combined the inverse analysis with self-consistent examination was presented.The theoretical accuracy of this method can achieve that the M-order partial derivative of the stress equals zero, and the self-consistent examination is satisfied.Besides, this method is applied to process the experimental data of the light gas gun.Comparing results of this method, experimental data and the traditional inverse analysis results, it turns out that this method not only makes the particle-line function reflecting the behavior of various physical quantities along the particle-line, but also reduces the accidental error of the particle-line.