查询词典 numerical

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

By the numerical analysis of the ultimate bearing capacity of two- and three-dimensional footing under combined loading mode, the results show that the effect of alteration of underground water lever on bearing capacity of three-dimensional foundation is more than on that of two-dimensional foundation, the effect of soil gravity on bearing capacity of three-dimensional foundation is more than that of two-dimensional foundation. At the same time, the numerical calculation process of ABAQUS indicates that whether the geostatic stress is balanced or not has great effect on the numerical convergence. In view of the effect extent of dilation angle of soil on the ultimate bearing capacity and the failure pattern of foundation, the condition of two-dimensional plane strain is higher than that of the three-dimensional foundation.

复合加载模式下，通过对三维矩形基础和二维条形基础进行数值分析，结果表明：黏性土地基中地下水位的变化，对三维矩形基础极限承载力的影响程度高于对二维条形基础的影响；在求解地基极限承载力的过程中，土体重度对三维矩形基础的影响明显高于对二维条形基础的影响，同时ABAQUS数值计算过程表明，地基土体地应力能否合理平衡，对数值求解过程中是否收敛有很大的影响；就土体剪胀角对地基极限承载力的影响程度而言，二维平面应变情况下土体剪胀角对极限承载力的影响比三维情况下的影响更明显，即土体剪胀角对条形基础极限承载力的影响高于三维矩形基础。

The results of numerical analysis show that the elastic modular and the poisson ratio have no effect on two-dimensional bearing capacity, but can affect the ultimate bearing capacity of three-dimensional foundations and control the convergence and precision of finite element calculation; the earth pressure coefficient controls the geostatic stress of foundation, sequentially affects the ultimate bearing capacity of foundations and the convergence of numerical calculation. When calculating the ultimate bearing capacity of undrained saturated foundation, the complete formulation exists shear locking, and reduce formulation exists hourglassing, so the hybrid formulation is suitable to imitate the geomaterial. When the soil obeys nonrelevent flow rule, the yielding function is different from potential function, and the elastic-plastic matrix of soil is asymmetric, so the unsymmetry numerical solver and appropriate finite element mesh is required.

研究结果表明，土体弹性模量和泊松比对二维基础极限承载力没有影响，但是影响着三维矩形基础的极限承载力，控制着ABAQUS数值算法的计算精度与收敛速度；地基土压力系数控制着地基土体中的地应力平衡，从而影响着二维条形基础和三维矩形基础的极限承载力和地基破坏包络面；对于不排水饱和软黏土地基，常规的完全积分单元会造成剪力自锁现象，而减缩积分单元则存在过于柔化的现象，故采用杂交单元来模拟较合适；当土体服从非关联流动法则时，屈服函数与塑性势函数之间存在差异，从而导致土体弹塑性矩阵呈现非对称性，在有限元计算中必须采用非对称数值解法，并且合理地划分单元才能对极限承载力进行准确求解。

Prain, Trifolium repens Lam, Aeachynomene Mica L, Indigofera bungeana Steud.The same strains used in numerical taxonomy were analysed by BOXAIR-PCR fingerprinting. All tested strains were clustered into 47 groups at the similarity level of 50%. Compared with the result of numerical taxonomy, strains belonged to one phenon in numerical taxonomy always distributed into several BOXAIR-PCR groups, most of reference strains come from one recognized rhizobial species were not grouped together.

B(来源：dd9dAB94C论文网www.abclunwen.com)OXAIR-PCR指纹图谱的聚类结果显示：全部供试菌株在50％的相似性水平上分为47群，与数值分类的结果相比较，其分群的结果更分散，在数值分类80％相似性水平上位于同一表观群的供试未知菌株大多分布于几个综合的BOXAIR-PCR群内；另外在数值分类中来自同一个种的已知根瘤菌参比菌株几乎都聚在同一个表观群，而在BOXAIR-PCR分析中，已知参比根瘤菌的同一个种内的大部分菌株都单独成群。

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。

Numerical controlled program was compiled with ETA code. The baffles were welded into a pile, then the holes were drilled using milling cutter and twist drill. The baffles were installed on Mitsubishi numerical controlled machine, and numerical controlled process was realized. This can improve production efficiency, which makes it possible that helix-baffled tubular heat exchangers can be widely applied in factory.

在MITSUBISHI操作系统的数控钻铣床上，采用特殊的刀具，将折流板点焊为一擦，装夹在旋转工作台上，使之与刀具成一个固定角度，实现了阶梯式螺旋折流板上孔的加工，解决了制造的难题，提高了生产效率和钻孔精度，为螺旋折流板管壳式换热器的推广应用提供了可能。

This enriched and developed the basic thought of numerical theory, resolved the bottleneck problem that astricts the development of numerical value analysis method, open up a new field for the geomechanic engineering application of 3-D network and numerical value analysis method, it's an available and essential attempt, it's also a necessary trend of numeric times development.

10通过岩体三维节理网络模拟，建立岩体结构的概化模型，基于数值法对岩体进行大量的&数值模拟试验&，获取岩体变形参数，丰富并拓展了数值模拟理论的基本思想，解决了选择岩体参数这一束缚数值分析方法发展的瓶颈问题，为数值分析方法和三维节理网络在岩土工程实践中的应用拓展了一片新的天地，是一种有益而且非常必要的尝试，也是数字时代发展的必然趋势，具有一定的理论意义和应用价值。

Based on them, distribution laws of subgrade temperature field under fluctuant boundary temperature cycle conditions are analyzed, and different ratios of slope for general subgrade and different status when there are or not banquettes are compared by laboratory simulation and numerical analysis; thermal insulation and cooling effect of thermal insulation slab, broken stone and non-power heat pipes is respectively investigated under the trend of elevated temperature by numerical analysis, laws of subgrade deformation are predicted under the trend of elevated temperature and influences of subgrade thaw settlement on pavement stress are studies by numerical computation for observation data of representative road sections selected.

为研究青藏公路冻土病害处治对策，从青藏公路2002年～2004年冻土病害整治工程实际出发，在系统分析研究青藏公路病害及发生机理的基础上，运用室内模拟试验、数值分析方法，依托处治冻土病害路段实际使用的隔热板路基、碎石路基、无动力热棒路基等进行现场试验，分析边界温度周期波动条件下的路基温度场分布规律，同时进行一般路基不同边坡坡率的对比研究及有无护坡道的对比研究；运用数值分析方法，对气温升高趋势下隔热板、碎石、无动力热棒的隔热降温效果进行了研究；选择代表性路段观测资料，运用数值计算的方法，进行升温趋势下的路基变形预测，研究路基融沉变形对路面应力的影响。

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。

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。