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Lagrange分析方法及其新进展   总被引:10,自引:0,他引:10       下载免费PDF全文
唐志平 《力学进展》1993,23(3):348-359
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。  相似文献
2.
非线性弹性介质中冲击波斜反射的研究   总被引:2,自引:1,他引:1  
本文讨论了各向同性非线性超弹性介质在平面小应变下的冲击波斜反射问题。给出了本构关系、简单波解和冲击波解,并作为例子求解了入射冲击波在自由面的斜反射问题。  相似文献
3.
苏士功  刘殿魁 《力学学报》1992,24(5):593-603
本文研究弹性体内中心简单波的特征平面和广义特征线。并利用特征线方法求解中心简单波在自由界面上的反射,得到了中心无旋波和中心等容波速度分量的边界放大系数及其某些数值结果。  相似文献
4.
Stationary threedimensional flows of a barotropic liquid in a gravity field are considered. In the shallowwater approximation, the Euler equations are transformed into a system of integrodifferential equations by the EulerLagrange change of coordinates. A system of simplewave equations is obtained, for which the theorem of existence of a solution attached to a given shear flow is proved. As an example, a particular solution analogous to the solution of the problem of a gas flow around a convex angle is given.  相似文献
5.
In this article, the method of differential constraintsis applied for systems written in Riemann variables. Westudied generalized simple waves. This class of solutions can beobtained by integrating a system of ordinary differentialequations. Two models from continuum mechanics are studied:traffic flow and rate-type models.  相似文献
6.
B.Riemann furnished the general solution of simple waves in1860.But it is difficult to find out the exact forms of the arbitrary function contained in the general solution which must satisfy boundary or initial conditions.For this reason it is inconvenient to probe into the characteristics of concrete problems.In this paper the analytic solutions of simple waves are afforded according to the geometric theory of quasi-linear partial differential equation,and they are determined with boundary or initial conditions.By using these solutions the specific properties of certain flows are discussed and novel results are obtained.  相似文献
7.
A simple wave is defined as a flow in a region whose image is a curve in the phase space. It is well known that "the theory of simple waves is fundamental in building up the solutions of flow problems out of elementary flow patterns" see Courant and Friedrichs's chassical book "Supersonic Flow and Shock Waves". This paper mainly concerned with the geometric construction of simple waves for the 2D pseudo-steady compressible Euler system. Based on the geometric interpretation, the expansion or compression simple wave flow construction around a pseudo-stream line with a bend part are constructed. It is a building block that appears in the global solution to four contact discontinuities Riemann problems.  相似文献
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