数学模型

In this paper, based on the experimental studies, the effects of the ARC-3 glass fiber for the improvement of the flexural tensile and the unconfined compressive of the concrete are analysed. Further statistical relations between flexural tensile strength, volume ratio of fiber and curing time, and a mathmatical model of the flexural tensile is presented. Finally, the optimum fiber volume ratio in the concrete is presented. In this paper, a mathematical model of the volation between the flexural ten...

本文通过大量试验研究，分析了ARC-3型高耐碱玻璃纤维对水混混凝土抗折强度及抗压强度的增强效果；提出了抗折强度与纤维掺量和龄期的统计关系，以及抗折强度的数学模型；提出了最佳纤维掺量；从玻璃纤维增强混凝土的应力-应变关系分析了其塑性性质和抗裂性能，对其抗压模量和抗弯模量的测试分析，提出工程设计时可忽略模量的变化；本文给出的抗折强度与抗压强度关系的数学模型，可直接供生产单位使用。

Utilized the correlative knowledge of mathematics and theoretical mechanics, the movement measure of the rolling forming of rectangle ring have been studied that based on the ring rolling theory. And the corresponding geometrical models and mathematical models have been established. It was revealed the variation law of ring in the cold rolling process.With the rolling processing, the inside and outside diameters of ring gradually increased with the cures similarly hyperbolic and the augment speed of the inside diameter was obviously larger than the augment speed of the outside diameter. With the rolling processing, the displacement, speed and acceleration of the ring centre gradually increased in the feeding direction in the horizontal and vertical ring rolling mill. With the rolling processing, the moment of inertia which ring reeled its centre and the whirligig of ring gradually increased. It caused the rotary speed gradually decreased. And it was benefit to decrease the circle tolerance and improve the precision of final molding.

本文基于环件轧制理论，运用相关的数学知识和理论力学知识，研究了冷轧过程中矩形截面环件轧制成形的运动测量，并建立相关的几何模型和数学模型，揭示了冷轧过程中环件的变化规律：随着轧制过程的进行，环件的内外径随类似于双曲线的曲线逐渐增大，且环件内径增大速度大于外径增大速度；在卧式轧环机和立式轧环机下，随着轧制过程的进行，环件中心的位移、速度及加速度不断增大；随着轧制过程的进行，环件绕其中心的转动惯量不断增大，导致环件的转速不断减小，这样有利于环件的整圆和最终成形环件的精度。

By soluting the dynamic mathematical model, the transfer functions were obtained. The influence laws of heat storage and working medium property to dynamic characteristics were obtained.

在对锅炉蒸发受热面简化假定的基础上，建立了亚临界压力下的动态数学模型，对该数学模型进行求解，推导出了蒸发受热面的传递函数。

The system is described mathematically on the basis of mass balance, energy balance, and phase equilibrium. The model of process simulation of the AHT system is set up. The solution system of mathematical model of absorption cycles was put forward.

对吸收式热变换器的基本原理和行为特征在系统层次上进行了分析，进而根据质量平衡、能量平衡和相平衡方程对系统进行数学表述，建立了系统的过程模拟模型，并提出了AHT吸收循环数学模型的求解机制。

Evaluating three fracture models and the result of electrical analogy. electrical analogy to the production potential of vertical fractured wells is a kind of analogy between mechanism modeling and scale modeling, the result of it is approximative and the shape of the curve is relatively good, but it is relatively bad in quantification, it can be replaced by the result of mathematic simulation.

对三种裂缝模型以及电模拟结果进行了理论评价，认为对垂直裂缝井产能的电模拟是一种介于机理模拟和比例模拟之间的模拟，其给出的模拟结果是近似的，曲线形状比较好，但定量结果比较差，可以通过建立数学模型，用数学模拟结果取而代之。

It is a common feature that the models have the ability to forecast the changement of water environment.

水环境数学模型在各类应用中有一个共同特点，即对问题有预见能力，这使得数学模型成为解决各类复杂水环境污染问题的有力工具。

The models were simulated by Visual Basic program, and provided for separation of enantiomers by countercurrently fractional extraction with hollow fiber membrane.

运用Visual Basic程序，对数学模型进行模拟；同时通过对数学模型模拟，对中空纤维膜O／W逆流分级手性萃取的操作参数进行优化。

The conventional study is based on mathematical models of process. Because of complexity of fault occured, it is difficult to run and dualize rigorous models. Hence, the troubleshooting isn't straight and easy to implement.

正因为如此，国内外对蒸馏过程故障诊断进行很多的研究，但多采用传统的建立过程数学模型的方法，由于过程工艺流程的复杂性，难以建立准确的数学模型，无法对故障作出直接、准确的诊断。

A mathematical model is setup for the phase interpolator and we perform a precise analysis using this model.

为相位插值器建立了数学模型并基于模型对相位插值器在数学域进行了详细的分析。

A mathematical model issetup for the phase interpolator and we perform a precise analysis using this model.

为相位插值器建立了数学模型并基于模型对相位插值器在数学域进行了详细的分析。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。