高压物理学报Issue(2)：215-220,6.DOI:10.11858/gywlxb.2014.02.013
基于最小二乘法的 Lagrange 方法在衰减冲击波中的研究
Study on Lagrange Analysis with Least Squares in Attenuating Waves
摘要
Abstract
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.关键词
Lagrange 分析/本构关系/最小二乘法/混凝土Key words
Lagrange analysis/constitutive relation/stress-strain/least squares/concrete分类
数理科学引用本文复制引用
陶为俊,浣石..基于最小二乘法的 Lagrange 方法在衰减冲击波中的研究[J].高压物理学报,2014,(2):215-220,6.基金项目
国家自然科学基金（10972060）；高等学校博士学科点科研基金（20104410110003）；广州大学新苗计划项目（2012-17）． （）
