查询词典 numerical method

The numerical results indicate that the operator splitting method effectively suppresses numerical oscillations in the cases of high air bearing number. The numerical results show that both air lift force and pitch moment increase with the ratio of the slider's rail height to the air film characteristic height and the air bearing number, and finally reaches to stable value.

比较在不同轴承数下的气浮力和纵倾力矩发现：同一轴承数下，气浮力随气膜特征厚度减小而增加；当磁头槽台高度与气膜特征厚度的比值相同时，气浮力随轴承数增大而逐渐增加直到达到某一值后保持不变；纵倾力矩随轴承数增加而增大到某个最大值后减小。

Impsons Integration: In numerical analysis, Simpson s rule is a method for numerical integration, the numerical approximation of definite integrals.

pecifically：：辛普森整合：数值分析中，辛普森法则是一种方法，数值积分，数值逼近定积分。具体来说

A new mathematical model is put forward numerically to simulate the wheel ovalization.. In the numerical simulation, the dynamic model of a half railway vehicle coupled with a tangent track is employed. Using the new numerical method investigates vehicle-track coupling system dynamic responses including lateral and vertical displacement of wheelsets and the vehicle, lateral and vertical vibration acceleration of the track at different phase angle of the two side wheels of the same wheelset, which are compared with that of the traditional model. The numerical results show that the discipline and frequency of dynamic responses are accordant, amplitude and phase of lateral dynamic responses are different. It is concluded the traditional track geometric irregularity excitation model does not simulate the effect of periodic wheels ovalization on vehicle-track coupling system dynamic behavior truly, the new model is more accurate and reasonable.

本文研究了车轮二阶周期性非圆化—椭圆化，建立了一个新的模拟车轮椭圆化的数学模型，结合车辆－轨道空间耦合动力学模型，计算了同一轮对左右车轮不同相位和车轮椭圆度下轮对和车体的横、垂向位移，钢轨横、垂向振动加速度，并与传统模型计算结果作了对比，分析表明两种模型的动力响应变化规律和频率一致，但横向动力响应幅值和相位均存在不同程度不可忽略的差异，因此传统的轨道几何不平顺激励模型不能真实模拟车轮的周期性椭圆化对车辆－轨道耦合动态行为的影响，而本文模型更能反映实际椭圆车轮与钢轨接触情形，计算方法准确而合理。

The paper founds GM(1, 1) model of gray prediction theory in order to predict level displacement,and forecast horizontal displacement of 8-8 section of the Olympic Games project with it and compares forecast data and actual data.The result is that GM(1, 1) model may forecast short-term horizontal displacement after the model is proved eligibility. In order to manage long-term horizontal displacement,the paper founds metabolism GM(1, 1) model.At first, founding GM(1,1) model with known data and forecast next numerical value,next renewing founded GM(1,1) model with numerical value at the same time abnegating first data,and then forecast nest numerical value with same method.

本文为了预测土钉支护水平位移，建立了GM(1，1)灰色系统理论预测模型，应用灰色预测法GM(1，1)模型对奥运工程地下通道I标段8-8剖面的土钉支护产生的水平位移进行了预测，并与实测值进行比较，得出灰色预测法模型经检验合格后可以对工程进行水平位移的短期预测；为了使GM(1，1)模型同样适用于长期预测，用新陈代谢的GM(1，1)模型，即根据己知数列来建立GM(1，1)模型，预测一个灰数值，然后不断地将预测值补充到己知数列之后，每补充一个再去掉一个最老的数据构成新的数列，建立一个新的GM(1，1)模型，预测下一个值。

For the particular structure of water-lubricated plastic alloy bearings,with cannelures and low elastic modulus of plastic alloy bushes,and for the complicated numerical calculation of elastohydrodynamic lubrication,the multilevel method was introduced into the EHL numerical calculation of water-lubricated plastic alloy bearings,and the numerical results were attained successfully.

由于水润滑塑料合金轴承的特殊性：带有纵向的沟槽和轴承衬弹性模量低，以及弹流润滑的计算比较复杂，将多重网格法引入到水润滑塑料合金轴承的弹流润滑计算之中，成功地实现了数值解，为其理论研究奠定了基础。

In chapter 2,all kinds of numerical methods of computational fracturemechanics are summarized,the development histories and present situation ofboundary collocation method,boundary integral method,finite difference method,boundary element method and finite element method are expounded,and theapplication of finite element method in fracture mechanics are emphaticallydiscussed.

第二章 总结了计算断裂力学中各种数值方法，论述了边界配位法、边界积分法、有限差分法、边界元法及有限元法的发展历史和现状，并着重讨论了有限元法在断裂力学中的应用。

Z2Bn z$e0A0 Meshless method is a new numerical computation method that is developed rapidly in recent years. Without element mesh and based on the dispersed nodes to form approximate interpolative function dynamically, meshless method has distinct difference with traditional finite element method. Meshless method conquers the problems caused by mesh generation, mesh aberration and mesh move. With provides a new effective means to engineering problem, meshless method obtain highly recognition in international compute mechanics domain and engineering field.

6L！y6K1Q6h0k0 无网格方法是近年来迅速发展起来的一类新型数值计算方法，它们不借助单元网格而是基于离散结点动态构造近似插值函数，与传统的有限元方法有着显著的区别，克服了网格生成、网格畸变和网格移动引起的问题并为工程问题提供了一种新的有效分析方法，受到了国际计算力学界和工程界的高度重视。

The interaction between the foundation and soil is taken into account in the numerical method, which can simulate the actual working mechanism of the dynamic equipment foundation and circumambience soil. Thus, the numerical method has the advantage of more accuracy and reliability over the specification method based on the single mass model.

数值方法考虑了基础和地基的相互作用，更能模拟动力设备基础及周围土体的实际工作机制，较基于单质点模型基础之上的规范方法有更高的精确性和更大的可信度。

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。

Based on the characters of singularity detection of signals of wavelet edge detection, this method is successful not only to detect the DNB, CHF and T〓, but to quantify and locate them. 6. Based on mapping theorem, a new numerical method—artificial neural networks numerical method is developed creatively.

五、通过利用边缘检测小波对信号奇异性的检测特性，实现了小波边缘检测方法在两相流动实验分析中的应用，将其推广应用到对气液两相流动的DNB、CHF和T〓等特性点的检测、定位和定量分析上，并获得成功。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。