无量纲化

提出了用维数和未耗散系数表示的任意形状的金属氧化物半导体气敏晶体的无量纲化Poisson方程，并利用微扰法对Poisson方程进行了求解。

The dimensionless Poisson equation described by dimension and undissipation coefficient for metal oxide semiconductor gas sensing crystals with an arbitrary shape is presented and solved by using the perturbation method .

引入无量纲化分析，将影响感应电场强度幅度的因素分成两部分：c（表示刺激条件）和E0（表示线圈几何特性）。

Dimensionless analysis is introduced and makes the factors influencing the magnitude of electric field into two parts : c ( represents the stimulation conditions ), and E 0 ( reflects the geometry of coil ) .

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 .

将方程进行无量纲化处理，运用Fortran软件对自由振动的振动微分方程进行分析。

The equation for dimensionless processing is building , using Fortran software to analyze the vibration differential equation of free vibration .

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 .

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 .

建立了Z型布置时集管系统压力与流量分布的数学模型，在对微分方程进行无量纲化的过程中导出了一个重要的综合性无量纲性能参数。

An analytical model of pressure and flowrate distributions for a Z type manifolds system was established in this paper . A useful dimensionless parameter was derived from differential equations by the nondimensionalized method .

从Navier-Stokes方程出发，运用无量纲化及虚宗量Bessel函数法求解。导得FlowChamber系统中流体流动的速度场、切应力场等分布规律。

The distributions of the velocity and shear stress of the flow chamber are achieved by using the nondimensional technique and the method of Bessel function of imaginary argument according to the Navier-Stokes ' equations .

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 .

其中，采用基准值法（Benchmarking）确定每个评价指标的上下限值，以构建指标实现程度函数对评价指标作无量纲化处理。

Among them , the threshold method using Benchmarking evaluation of each upper and lower limits , to build the evaluation function of indicators ' realization degree for non-dimensional treatment .

用Galerkin方法把无量纲化之后的控制方程转化为一组非线性代数方程组。

Galerkin ′ s method is used to transfer dimensionless governing equations to an infinite set of nonlinear algebraic equations . All equations have been made dimensionless and weighted function has been taken as one .

针对水平面内绕定轴转动的柔性机械臂，利用变量代换和Hamilton原理，采用非约束模态法，推导出了其无量纲化的刚、柔解耦动力学方程和相应的频率方程。

The dimensionless rigid-flexible decoupled dynamic model and the frequency equation of flexible manipulator which is rotating around a fixed axle in the horizontal plane , were explored according to unrestrained modal , variable substitution and Hamilton principle .

建立步兵分队城市作战效能评估指标体系，给出了指标因素的无量纲化方法，并用AHP方法确定了指标的权重，建立了基于灰色关联分析的效能评估模型。

First , the complex index system is built and the dimensionless method of index factors is provided . By using method of AHP , the weighted coefficients of the factors are achieved . So the effectiveness evaluation model based on grey incidence analysis is established .

为了便于比较，本文采取阙值法中的Z-score标准化方法对数据进行无量纲化处理，最后进行了综合评价值的运算，并对各个城市的创新型建设进行了综合排名，并加以分析。

For comparison purposes , the article takes the z-score standardized method for data dimensionless , and then calculates the comprehensive evaluation value , ranks the marks of various cities , and ultimately analyzes it .

分析矩形梁纯弯曲受损时可以得到一个现时截面中性轴位置y0和无量纲化弯矩m的关系式，它是一个关于y0的三次方程。

A cubic equation which is about y 0 can be founded when the rectangle beam in the purely bended brings about damage .

基于无量纲化载荷分离理论，发展了改进的分离参数Spb法，新方法有效消除了参考钝裂纹和标定点选择对试样裂纹长度预测的影响。

Correspondingly , a modified load separation parameter Spb method is developed according to the nondimensional load separation principle . This new method diminishes the effect of the reference blunt crack specimen and the choice of calibration points on the crack length determination of sharp crack specimen .

经过无量纲化后流速的分布显示出很高的相似性。

After non-dimension process , the velocity distribution shows high similarity .

原始数据无量纲化处理对灰色关联序的影响

Effects of non-dimensional quantities of original data on grey incidence order

引入粘弹性结构阻尼，推导了粘弹性结构的运动微分方程并进行了无量纲化处理；

The viscoelastic damp is introduced and its equation is established .

对于指标的无量纲化处理，本文主张采用极值化方法。

The paper advocates using extreme method for non-dimension of indicators .

闪烁输入下比例导引系统无量纲化研究

Non - dimensional - normalization of PN System with Glint Input

光子晶体光纤色散的无量纲化计算方法

Dispersion calculation of photonic crystal fibers by the normalization technique

多资源均衡间的关联特性及目标函数无量纲化研究

Research on the Correlation Performance of Multi-resource Leveling and Non-dimensional Objective Functions

无量纲化自然单位法特征量

Dimensionless Quantity Method , Natural Unit Method , Characteristic Quantity

根据具体情况恰当选取无量纲化的公式和从不同角度聚类的需要选取计算模糊相似系数的适用公式；

Selection of suitable non-dimensional formula according to concrete conditions ;

针对剪切式均质机转子系统建立其动力学模型，并对模型加以无量纲化和必要的简化，用于数值仿真。

We build the dynamics model of the rotor system of shear homogenizer .

企业绩效标准值下的财务指标无量纲化与评价

Non-difference Financial Index of the Business Standard Performance Evaluation

提出了指标属性值和无量纲化的计算方法；

Present the calculation method and dimensionless problem of the evaluation index attribute value ;

然后将控制方程无量纲化和离散化，转换到模态空间进行分析。

Then the equations are simplified into dimensionless forms and converted into modal space .

广义反射-透射系数算法的无量纲化

Making the calculation of generalized reflection-transmission coefficients dimensionless