查询词典 numerical algorithm

Numerical calculation of FEM and experimental investigations are used in the present research. The influence of loading condition and size of indenter on the tensile strength of rock has been investigated. The results obtained by numerical calculation and experiments show that tensile strength of rock will increase with the increase of indenter size.

通过有限元数值计算与理论分析相结合的方法，对不同载荷接触条件和接触面宽度角下的岩石抗拉强度进行了深入分析，结果表明，在圆弧形和平台加载条件下计算的岩石抗拉强度随载荷接触宽度角α的增大而增大。

With the compare of research methods such as direct experiment, indirect method and numerical simulation, the numerical simulation method based on the Functional Virtual Prototype technology has been decided to use in the vehicle-road interaction research. The Dynamic FEA method has been decided to use in the road response research.

本课题在系统分析了各种车辆—道路相互作用研究方法的基础上，针对直接实验方法、间接方法和数字仿真方法的发展，并结合"功能化虚拟样机"技术的应用背景，确定采用基于多体系统动力学理论的数字仿真方法进行车辆—道路相互作用研究；针对有关道路响应的各种研究方法，确定采用动态有限元方法进行道路响应的研究；并分析了各种道路破坏的评价方法。

The computing plots of the solutions from the two methods were inconsistent under the specified boundary-initial conditions, which stirred up the debate of the effectiveness of Maxwell's equations in lossy medium. It is found that the differences between the two numerical curves can be viewed as the Gibbs phenomenon caused by cutting off the high frequency components in computing the infinite integral of the numerical curve of Harmuth's solution.

通过比较两种解析解的数值曲线得出：两者的差异在于求解Harmuth解的数值曲线时，采取无穷积分的高频截断近似产生了吉布斯现象；在计算Harmuth解的数值曲线时不断增大积分上限，其数值曲线的振荡不断向不连续点处收缩，而且衰减加快，因此在求解Harmuth解的数值曲线时，若积分区间取为理想无限大，则可以预见相同计算精度下两种方法的电场解的数值曲线是一致的。

In this dissertation, based on the discussed history of numerical method of structure-born sound radiation, the boundary element integral equation is deduced, and then the numerical method of sound radiation, the theory of radiation modal and the sound radiation sensitivity analysis is discussed in details.

本文在分析了结构声辐射数值方法的历史及其现状的基础上，详细推导了结构声辐射的边界积分方程，对声辐射的数值计算方法、声辐射的模态理论以及声辐射的灵敏度分析作了深入详细的探讨。

Numerical Integration Single variable f - Calculates the definite integral of a single variable function f(x using numerical methods: The Trapezoidal, the Midpoint and the Simpson's method.

计算一个单精度变量的整数部分的函数f 使用的数学方法：梯形法、中间点中和辛普森方法。

The numerical computation results indicate that the CFD numerical simulation technology can effectively analyze the details of the flow field,helping to improve the intercooler flow path design.

数值模拟计算结果表明，CFD数值模拟技术可以有效的分析包括间冷器在内的整个流路的流场细节，改善间冷器的流路设计。

The 3-dimension solid model of the 8th turbine rotor blade of some type aero engine is constructed in software UG, and the numerical calculation region of stream field in ECM is set up in special flow field calculation software FLUENT based on the principle of hydrodynamics. The distribution of 6-dimension forces is got after numerical calculation, and the equation between 6-dimision forces and interelectrode gap is set up.

基于流体力学原理，用UG造型出某型航空发动机8级涡轮转子叶片，用流场计算软件FLUENT构造电解加工中叶片的流场计算区域，经数值计算得到六维力的分布，并从理论上建立六维力与间隙之间的关系方程式，为后续试验研究提供了参考依据。

To program a command document of numerical simulation of the crane structures as the vehicles lifting loads by the parameterized model, the internal command of ANSYS and APDL, realize the moving crane numerical simulation and get result.

用建立好的有限元参数化模型和ANSYS的内部命令以及APDL语言编写了小车吊载运动过程中起重机运动数值仿真的命令流文件，具体实现了仿真，得出结论。

In order to improve and simplify the solution, the relationship between frequency and cable tension was studied by conducting numerical iterative computation. Furthermore, the format of the existing formula for cable tension identification was investigated, and one set of practical formula for cable tension identification were proposed by employing numerical fitting method.

为提高精度及简化计算，通过分析迭代计算得到的反映频率与索力相关关系的曲线，和已有索力识别经验公式的形式特点，进行数值拟合，提出一组索力计算的实用公式。

Results show that radial basis function and point interpolation methods possess Kronecker Delta function property, but the robustness is poor in some cases; the MLS approximation function does not possess Kronecker Delta function property, but it has good robustness. Differences among the three discretization schemes of meshless method are as follows:the collocation method requires no numerical integration and very little computational time while its robustness is poor; Galerkin method is not a truly meshless method due to the background meshes required for integration; the Petrov-Galerkin method is a truly meshless method and need numerical integration in each sub-domain, so it needs more computational time.

分析结果显示：径向基函数和点插值法均具有d 函数属性，但计算稳定性差；移动最小二乘近似函数不具有d 函数属性，但计算比较稳定；无网格方法中的3种离散方法不同之处在于：配点法不需要积分，计算量小，计算稳定性差；Galerkin方法需要借助背景网格进行积分，它不是真正的无网格方法；Petrov-Galerkin方法，是一种真正的无网格方法，它需要对每个子域进行积分，计算工作量较大。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。