无量纲

提出了R<1的无量纲P参数法。

The method of dimensionless parameter for R < 1 has been proposed in this paper .

焊接H形轴压构件截面设计的无量纲系数法

Dimensionless coefficient method of designing the welding section of axial pressure component with H shape

利用下面的代换，便于使这个问题无量纲化。

It is convenient to nondimensionalize this problem with the following substitutions .

掺气浓度Cσ对冲坑深度的影响，可表达为掺气浓度与冲坑无量纲深度的幂函数关系。

The relationship between the air concentration and the scour depth can be expressed as an exponential function .

在外边界封闭的情况下，不考虑CD和S的无量纲平均地层压力，与无量纲生产时间成正比；

In the closed case , the relation between dimensionless average pressure and dimensionless time is linear if CD and S are neglected .

从量纲的观点来看，它是不能令人满意的，因为e的幂必须是无量纲的。

It is not satisfactory from a dimensional standpoint , since the power to which we raise e must be dimensionless .

可以通过本文定义的无量纲参数u′，确定冲刷形态。

The two erosion patterns can be determined by dimensionless parameter U ' , defined in this paper .

通过扩展的内模整定方法提出了基于无量纲参数（无量纲时滞时间和无量纲过程增益）的PID控制器参数整定方法。

This paper presents a new normalized tuning method of PID controllers based on two dimensionless numbers form extensive IMC tuning method .

以无量纲因子fα（a／b）为表征参量，给出了具有环形缺口的圆杆缺口尖端附近的应力场；

The stress field near the tip of the annularly breached bar takes f α( a / b ) as its descriptive parameter is given here .

用无量纲柔度法测定了重轨钢动态几何因子f（a／W）值。

The dynamic geometrical factor f ( a / W ) for heavy rail steel was measured with the method of dimensionless flexibility .

在对各指标值无量纲处理的基础上，采用BP神经网络的算法，可综合评价油田设施更新方案。

Based on the un-dimensioned process of various indexes and by the algorithm of BP neural network , oil field equipment can be evaluated comprehensively .

值为44。无量纲计算一元弱酸溶液pH值

Value ( number of fundamental ) being 44 . The chromosome number and karyotype of A. The Dimensionless Calculation of pH for the Solution of Weak Monoacids

对各参数进行无量纲处理，借助ANSYS软件分析篦齿封严组件振动的特性，获得结构无量纲频率和振型；

The vibration characters of the labyrinth gas seal device are analyzed with non-dimensional parameters in ANSYS and the non-dimensional frequencies and modes are obtained .

对于圆柱棒型规则多孔填料床，可用水力雷诺数、液相韦伯数、Bond数和无量纲流动参数来关联其气液两相流动阻力实验数据；

A correlation of flow friction factor is obtained from the experimental data by using Reynolds number , Weber number , Bond number , and the dimensionless flow parameter .

对无量纲相对流速u/v与相对水深y/h之间存在很好的二次函数关系，并确定了系数a、b、c在不同区域下受到的主要影响因素及其相应的确定函数。

There exists function relation between dimensionless relative velocity u / v and relative water depth and the main influential factors on coefficients-a , b , c and their corresponding functions are determined . 3 .

Bingham体的连续流和阵性流研究中无量纲参数讨论

Discussion on the Dimensionless Parameters in the Investigation of Bingham-Fluid Continual and Intermittent Flow

本文提出了确定该临界液位的数学模型，临界液位高度与破口直径之比h／d由两个无量纲积分方程所制约。

This paper presents a numerical model to determine the critical liquid height , the ratio of the critical liquid height to the break diameter h / d is characterized by two non-dimensional integration equations .

结果：从数学角度推导出一侧颈动脉狭窄或闭塞后判断侧枝循环开放产生盗血程度的无量纲指数-盗血指数（SI）。

Results : We got a nondimension index steal index ( SI ) which can estimate the blood steal degree by the opening of lateral circulation after unilateral carotid stenosis or occlusion .

无量纲滑移长度随Kn的增大而减小，阻力系数fRe随Kn减小。

The non-dimensional velocity slip and the resistance coefficient fRe decrease with the growth of Kn .

采用罚函数法解决多约束非线性优化问题，罚函数既是违反功率和通信QoS约束的数量函数，又是程度函数，同时采用归一化处理将不同的约束条件无量纲化。

Using the penalty function which not only depends on the number of constraint violations but also on the degree of constraint violations , the multi-constrained nonlinear optimization problem is solved .

DEA最大优势在于处理多输入和输出时无量纲要求，从而避免了多输入或输出的汇总的困难。

One of the greatest advantages of DEA is that inputs and outputs can have very different units , with no difficulty of aggregating inputs or outputs .

假设阻尼为Rayleigh型比例阻尼，对方程进行无量纲化处理，然后对无量纲方程进行解耦，求出其强迫振动时候的位移响应。

By the assumption of Rayleigh type ratio damping , taking dimensionless parameter and decoupling transform , the displacement-time response of the forced vibration system is solved .

模式中引入了一个与R/B和床沙摩阻系数有关的无量纲系数Cb，从理论上证明了当弯道R/B介于2～4之间时，蠕动速率取最大值。

A dimensionless coefficient C_b which is dependent on R / B and bedload friction coefficient is defined This model verifies theoretically the maximal values of rate of bend migration as R / B is value between 2 and 4 .

利用准环坐标将具有标量电阻率和粘滞系数的MHD方程简化为一组无量纲的非线性方程。

We reduce MHD equations with scalar resistivity and viscosity to a set of dimensionless nonlinear equations in a framework of quasi-toroidal coordinates .

计算了扭曲叶片S2流面的湍流流场.在非正交曲线坐标可压湍流方程组中包含了以无量纲形式表示的能量方程，熵方程和K－ε湍流模型方程。

These equations are derived with non & orthogonal curvilinear coordinates and by no-dimensional form . The general difference expression of energy equation , k and ε equations and entropy equation are adopted .

建立了不平衡刚性Jeffcott转子在非线性油膜力和非线性气流力作用下的无量纲运动微分方程；

The nondimensional motion differential equation of the rigid Jeffcott ( with mass unbalance ) system is set up ;

根据一定的边界条件及初始条件推导出拉氏空间下以Bessel函数表示的无量纲解析解。

Dimensionless equations of the transfer model obtained in the Laplace spaces at the boundary and initial condition were expressed in terms of ordinary Bessel function .

并在率定相应参数的同时，总结了不同Courant数以及无量纲涡粘性系数对计算结果的影响。

Parameters are calibrated by observed data , and the Courant number and eddy viscosity are summarized .

该文认为合理的反切方式应该是无量纲准则数XJ为1左右时的配风工况。

The paper suggests that it should be the optimum operating condition when the dimensionless number XJ is nearly equal to 1 .

讨论了特征参数的无量纲化处理方法，并结合ABO灰色关联度诊断法简单易于实现和BP神经网络法诊断精度较高的特点，完成了齿轮箱的故障模式识别和诊断决策。

By combination of the ABO gray cognate analysis which is easy to fulfill and the BP neutral network diagnostic method which is accurate , the fault pattern recognition and diagnosis are fulfilled for the gearbox .