数值方法

The details contents in this paper are as follows: 1 Studied the theory analysis of the causation of ricochet phenomena.

针对动能弹斜侵彻混凝土靶时的跳弹现象，本文分别采用理论分析方法和数值模拟方法对这种特殊现象进行了分析计算，具体的研究内容如下： 1）进行了跳弹现象产生原因的分析研究。

Phase planes under some specific control parameter values, as well as the system response property within a band of control parameter values, are plotted with the results compared with those of the Runge\|Kutta method.

采用增量谐波平衡方法导出一类分段线性电路系统稳态周期响应的计算格式，并对该系统进行了数值模拟，作出了特定控制参数下系统周期响应相图，同时获得了控制参数在某一带宽内变动时的系统响应特性，其结果与Runge Kutta方法进行了对比。

Analyzed by our numerical method, Sakharov small disturbance experiment can give a credible viscosity coefficient.

利用本文数值解建立起来的实验数据分析方法，Sakharov小扰动方法可以给出更为可信的粘性系数测量结果。

By means of the Schlieren technique,Schlieren images of the natural convection were taken in CO_2-ethanol absorption system.

利用纹影仪光学方法，获得了乙醇吸收CO2过程中自然对流的纹影图像；并通过吸收传质流体CFD模型，应用有限元方法对气液吸收过程中出现的自然对流发生过程进行了数值计算，得到了液相自然对流发生时的非稳态流场分布和浓度分布信息。

Numerical simulations show that this self-adjusting algorithm is more flexible and effective than other existing algorithms, and more ideal results can be gained in a much shorter time.

数值模拟结果表明，自调整方法是一种高效灵活的专用于设计一维光学超晶格的优化算法，与其他优化算法相比，自调整方法能在更短的时间内搜索出更理想的优化结果。

The result of this method is accurate solution of differential equation because it is on the basis of analytic method. Compared with the value solutions, it has a lot of characteristics such as clear concepts, simple steps, quick convergence rate, etc.

此方法是建立在解析方法的基础上，得到的结构内力和位移具有足够的精度，它和目前应用广泛的有限元法、差分法等数值解法相比，具有概念清晰、步骤简单、收敛速度快等特点。

According to the results of the experiments on simulated data , PRGA gives better results in curve fitting compared with simple GA and traditional numerical iterative method .

实验证明，该方法对于曲线拟合问题能取得优于简单遗传算法和传统数值迭代方法的结果。

In chapter 4,on the basis of chapter 3,a new formulation of hybrid/mixedsingular plate element based on Reissner's plate theory is set up,and 4-node arbitraryquadrilateral hybrid/mixed singular bending plate element formulas including theeffects of transverse shear deformation is derived,then by the use of this method,alarge quantity of numerical computations are carried out,at the same time,the resultsare compared with theoretical solutions and the results obtained by other singularfinite element methods.

第四章 在第三章的基础之上，建立基于Reissner型板理论之上的杂交/混合奇异板单元列式，推导出了考虑剪切效应的四节点任意四边形杂交/混合奇异弯曲板单元公式，并进行了大量的数值计算，同时与理论解析解和其它有限元解进行了比较，计算结果表明：本文提出的杂交/混合奇异板单元方法是可以用于计算含裂纹平板弯曲应力强度因子的一种高效、可靠、简便易行的方法。

The method of setting some parameters is discussed in order to avoid the singularity in calculation.

讨论了两种方法的数值计算中为了避免奇异性而对一些参数的设定方法。

The deformation, stress, vertical acceleration and dynamic pressure of fluid-filled tank are calculated and the slosh of fluid is also described.

通过对容器的变形、自由液面的运动、液体对容器的动压变化、容器的应力状态和所受动态激励的情况进行分析，说明SPH方法在充液容器的冲击问题研究中是行之有效的数值计算方法。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。