| Lagrange分析方法及其新进展 |
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| 引用本文： | 唐志平.Lagrange分析方法及其新进展[J].力学进展,1993,23(3):348-359. |
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| 作者姓名： | 唐志平 |
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| 作者单位： | 中科院材料力学行为和设计重点实验室;合肥中国科学技术大学力学与机械工程系 |
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| 摘 要： | Lagrange分析是Fowles等人于70年代初首先提出的,在动态实验数据处理中有重要应用,但是实践表明有时所得的结果不可信。近年来,Lagrange分析方法得到迅速的发展,提出了不少新的思想、方法和改进,如冲量时间积分函数、曲面拟合,反解法和自治性检验等。尤其在与Lagrange分析密切相关的非简单波特性的研究方面取得了相当大的进展。本文主要评述Lagrange分析的最新进展,对它的历史和今后发展趋势也作了扼要说明。
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| 关 键 词： | Lagrange分析 欠定系统理论 冲量时间积分 反解法 曲面拟合 自洽检验 路径线 相速度 有限元 非简单波 |
LAGRANGIAN ANALYSIS AND ITS RECENT DEVELOPMENTS |
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| Tang Zhi-pingLaboratory for Shock Wave and Detonation Physics.LAGRANGIAN ANALYSIS AND ITS RECENT DEVELOPMENTS[J].Advances in Mechanics,1993,23(3):348-359. |
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| Authors: | Tang Zhi-pingLaboratory for Shock Wave and Detonation Physics |
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| Affiliation: | Tang Zhi-pingLaboratory for Shock Wave and Detonation Physics,Institute of Fluid Physics,Chinese Academy of Engineering PhysicsUniversity of Science and Technology of China,Hofei,230026,China. |
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| Abstract: | Lagrahgian analysis was first presented by Fowles et al in the early 70's and found important applications in data processing for dynamic experiments. However, the practice reveals that it sometimes leads to unreliable results. Recent years see rapid developments in this field. New ideas,methods and improvements are suggested, such as impulse time integral function, surface fit-ting, inverse method and selfrconsistency examination etc. Particularly, some remarkable progress has been made in the study of the characteristics of non-simple waves which are closely related to Lagrahgian analysis. In this paper, recent advances are summarized and emphasized, the history and trends are briefly presented. |
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| Keywords: | Lagrangian analysis underdetermined system theory impulse time integral inverse method surface fitting self-consistency examination pathline phasle velocity finite element non-simple wave numerical method |
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