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power function model
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  幂函数模型
     The results showed: 1) The preferred model, which estimate the organs' biomass of individual with diameter (D) or height (H), was an exponential model or a power function model, and the latter was the best with relative coefficients ranging from 0.941 to 0.998;
     结果表明:1)用地径(D)、树高(H)估测单株木各器官生物量的适合模型为指数模型和幂函数模型,指数模型最佳,相关系数0.941~0.998;
短句来源
     POWER FUNCTION MODEL OF SHEAR DEFORMATION FOR ROCK JOINTS
     岩体节理剪切变形的幂函数模型
短句来源
     AN ESTIMATION METHOD FOR PARAMETER OF POWER FUNCTION MODEL AND ITS APPLICATION IN DERIVED STORMEQUATION FOR XIFENG
     幂函数模型参数的一种估计方法及其在推求西峰市暴雨公式中的应用
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     The extreme limit of anti-lifting bearing capacity was successfully forecasted out by hyperbola model, exponent model and power function model, using the imitation functions of curves of Grapher 4 and taking project cases as a base.
     以工程实例为基础,用G rap-her4的曲线拟合功能,选用双曲线模型、指数模型和幂函数模型,成功预测出了极限抗拔承载力。
短句来源
     The errors of the data obtained using the power function model are very small from the test data.
     用幂函数模型描述的回归曲线以及根据试验参数得到模拟曲线与试验值比较误差均较小。
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  “power function model”译为未确定词的双语例句
     This paper used allometric model W= a(D 2 H) b and modified power function model W= aD α H β study biomass of Betula luminifera population at Weiming,Shaowu of Fujian province.
     用相对生长模型W =a(D2 H) b和幂函数改进模型W =aDαHβ,对福建邵武卫闽光皮桦种群生物量进行了研究。
短句来源
     The results showed that the modified power function model was superior to the allometric,moreover,the biomass of Betula luminifera stand was 33.47 t/hm 2 and the biomass in size order was trunk>root >branch>bark>leaf.
     结果表明 ,幂函数改进模型要优于相对生长模型 ,并且光皮桦林分总生物量为 33.47t/hm2 ,其生物量大小顺序为树干 >根 >枝 >皮 >叶。
短句来源
     POWER FUNCTION MODEL OF NORMAL DEFORMATION FOR ROCK JOINTS
     岩体节理法向变形的数学模型分析
短句来源
     The N concentration of the two species decreased with time,and its dynamics could be simulated by linear model(Y=a+bX) and power function model(Y=aX~b). The coefficient b in the equations could be used to indicate the relative growth rate of the shoot under different nutrient status.
     其中,黄蒿和白草地上部分N浓度随时间呈递减的趋势,且它们随时间的递减规律分别可用线性函数Y=a+bX以及幂函数Y=aXb模拟表示,函数中系数b的绝对值可以反映不同养分状况下植株的生长速率;
短句来源
     The data processing of load spectrum for cress-flow turbine runner is made out by new rain-flow counting model and three parameter Weibull distribution mathematical model in this paper,P-S-N curve of the turbine runner is established by means of the three parameter power function model and fatigue strength of the turbine runner is calculated by means of the reliability design.
     本文采用新的雨流计数模型和三参数威布尔分布数学模型进行了双击式水轮机车转轮载荷谱的数据处理。 采用三参数幂函数数学模型建立了水轮机转轮P—S—N曲线。
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  相似匹配句对
     Pricing Power-function Options
     幂函数族期权定价模型
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     the power;
     动力论;
短句来源
     POWER
     清华的力量
短句来源
     The function of
     睾丸激素的功能
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     The Party in Power:Its Role and Function
     执政党社会角色定位和功能作用的发挥
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  power function model
Three models (Power function model, Parabolic diffusion model and Simple Elovich model) can satisfactorily describe the P release kinetics.
      
When different fitting models are compared, there is no obvious reason to prefer the linearized power function model, while a curvilinear fit to the power function should be selected as a best fit for this data set.
      
Using a power function model and log-linear regression, the best predictor of 1-mile run speed was given by: speed (m?s-1)=55.1V?O2max0.986m-0.96.
      
A curvilinear power function model was shown to be theoretically, physiologically and empirically superior to the linear models.
      
BMDL estimated from power function model with exponent = 1.
      


The kinetics of catalytic chlorination of p-Dicyanobcnzene to tetra-chloroiso- phthalonitrile on activated carbon supported BPL-27 catalyst was determined in an integral reactor at the temperature range of 280-320℃。It has been found that this reaction is composed of four succesive irreversible reactions.Experimental data were correlated by an empirical power function model,and the following rate equation was obtained over our experimental range, (-r_A)=8.89×10~(11)exp(-1.3950×10~4/RT)C_(AO)~2(l-y_A) [mol/g_(cat)·hr]...

The kinetics of catalytic chlorination of p-Dicyanobcnzene to tetra-chloroiso- phthalonitrile on activated carbon supported BPL-27 catalyst was determined in an integral reactor at the temperature range of 280-320℃。It has been found that this reaction is composed of four succesive irreversible reactions.Experimental data were correlated by an empirical power function model,and the following rate equation was obtained over our experimental range, (-r_A)=8.89×10~(11)exp(-1.3950×10~4/RT)C_(AO)~2(l-y_A) [mol/g_(cat)·hr] This kinetic equation has been used in the calculation of a single tube reactor. The predicted values agree fairly well with the experimental results of the real single tube reactor.

本文采用 BPL—27~# 活性炭载体催化剂,在280~320℃下,在积分式实验反应器中测定了间苯二腈气相催化氯化制取四氯间苯二腈的化学反应动力学。实验表明此化学反应是由低氯化物转化到高氯化物的不可逆串联反应,其化学反应历程为(?)且反应具有初期速率快,放热量大,对热敏感性大等特点。将实验数据用幂指数经验模型进行关联,得到了在本试验范围内,化学反应的动力学方程为(-r_A)=8.89×10~(11)exp(-1.395×10~4/RT)C_(A0)~2(1-y_A)~2〔kgmol/kgcat·hr〕将本动力学方程式用于单管反应器计算,其计算值与实际单管试验的数据基本上相吻合。

According to the configuration of energy curves, an mathematical model of energy consumption in hot rolling mills has been built up. This model is a spline model. Then computer simulation has been performed by using the actually measured data of four steel plates 16Mn, 20G, 3C and A3 rolled by a reversing mill. As a result of the simulation, γ (the configuration index of energy curves) is determined, and mathematical demonstration and experimental verification of the spline model are conducted in comparsion...

According to the configuration of energy curves, an mathematical model of energy consumption in hot rolling mills has been built up. This model is a spline model. Then computer simulation has been performed by using the actually measured data of four steel plates 16Mn, 20G, 3C and A3 rolled by a reversing mill. As a result of the simulation, γ (the configuration index of energy curves) is determined, and mathematical demonstration and experimental verification of the spline model are conducted in comparsion with three other models-Imaiichiro model, power function model and parabola model which have drown much attention in recent years. The results show that the theoretical curve of the spline model is able to suit configuration of different experimental energy curves, whereas the other three models can only be fit for those experimental energy curves without an inflection point. In addition, the accuracy of the spline model is much higher than that of the others when fitting the data of the four steel plates is effected.

作者根据能耗曲线的形态,应用数学方法,建立了如下热轧能耗模型——样条模型:式中,E是累计能耗;x=ln(H_0/h),H_0是来料厚度,h是轧件出口厚度;γ是能耗曲线形态指数,0<γ≤2;m是轧制总道次(对可逆轧机)或机架总数(对连轧机);k=[(m-1)/3];β_1,β_2,…,β_(k+2)是由产品规格和轧制条件决定的参数。用可逆式精轧机轧制16Mn、20G、3C和A3四种钢板的实测数据,进行了计算机仿真。经过仿真确定了γ的值,对于16Mn和A3,γ=1/2;对于20G和3C,γ=2/3。对样条模型和得到较多重视的今井一郎模型、幂函数模型和抛物线模型进行了数学论证和实验数据验证,结果表明:样条模型的理论曲线能适应不同形态的能耗实验曲线,而另外三个模型只能适应没有拐点的能耗曲线,拟合实测数据时,样条模型的精度比其他三个模型的精度高得多。

Fatigue life prediction on composite materials is studied analytically using degradation and damage models, resultant strain and fatigue modulus. Definition of fatigue modulus, new damage models using fatigue modulus and resultant strain, and prediction of fatigue life on composite materials using degradation and damage models are discussed. This approach can accurately predict the multi-stress level fatigue life as well as single-stress level fatigue life of composite materials. Defining fatigue damage on...

Fatigue life prediction on composite materials is studied analytically using degradation and damage models, resultant strain and fatigue modulus. Definition of fatigue modulus, new damage models using fatigue modulus and resultant strain, and prediction of fatigue life on composite materials using degradation and damage models are discussed. This approach can accurately predict the multi-stress level fatigue life as well as single-stress level fatigue life of composite materials. Defining fatigue damage on composite materials is not a simple problem. Common variables used to define damage of composite materials are secant modulus, residual strength, strain, compliance, amount of acoustic emission, crack density, crack length, and number of debonded or failed fibers. These damage models are tabulated in Table 1. However, variable can not be used universally to represent the degree of damage in various composite materials. Fatigue modulus is defined using secant modulus and resultant strain during fatigue cycle. Fatigue modulus represents the physical damage in composites with different orientation and materials., specially metal-matrix and ceramic-matrix composites for high temperature applications. Damage model , model and model are defined as functions of fatigue modulus and resultant strain. The structure of damage model, boundary conditions and physical meanings are inserted in order to interpret the proposed damage models. Also the effect of applied stress on the accumulated damage is studied analytically using proposed damage models. Fatigue life is predicted by the following procedures:(1) establish the fatigue modulus degradation, (2) find fatigue life equation as a function of fatigue modulus,(3) calculate the fatigue life using strain failure criterion. Degradation models for composite damage are generalized and found that three-parameter degradation model(dF/dn=ACn~c-1/ BF~B-1) and two-parameter power function model(dF/dn=-ACn~C-1) are most suitable to predic- ting fatigue life of composites. Also the predicted two-stress level fatigue life using the proposed da mape models are reasonably close to the experimental data.

在疲劳载荷作用下,复合材料的弹性模量会随着载荷循环数的增加而不断下降,而材料中的内部损伤则不断增大。为此,本文提出复合材料的疲劳模量和累积应变的概念,并由此定义出三种预测复合材料疲劳寿命的疲劳损伤模型。文中应用这三种模型对单应力水平和多应力水平下的玻璃纤维增强环氧树脂复合材料的疲劳寿命进行了估算,并同实验结果进行了比较。

 
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