主要研究内容如下：由于TI蜗杆齿面上的接触线方程是一种超越函数，直接在有限元分析软件ANSYS中建模比较困难。
The content of this research is as follows: Direct modeling for tooth surface of ti worm in ANSYS is difficult for the equations of contact lines being a kind of transcendental function.
它是运用多尺度分析方法，构造出格点模型的演化方程的局部平衡分布函数。
The local equilibrium distribution function of lattice model evolution equation is constructed by use of multi scale analysis.
文中采用陈至达(1962年)的光测应力分析基本方程，并导出适合于光弹性数据处理的三次样条函数。
Basic equation of photoelastic stress analysis by Chen (1962) is adopted; and a cubic spline function suitable for processing of photoelastic data is derived.
本文引入广义功率函数和简化拉格朗日方程，并用来分析复杂电路和机电系统。
The generalized power function is introduced and the reduced Lagrange equations are used in the analysis of complex circuits and Electromechanical systems.
对于非线性函数线性组合型相关方程，本文提出了交替运用非线性拟合和逐步线性回归分析相结合的方法一逐步非线性拟合。
A stepwise nonlinear fitting procedure was proposed to nonlinear fitting equations that USES Marquardt nonlinear fitting analysis and stepwise linear regression alternatively.
并采用各点点位位移速度图对所建立的函数模型进行验证，同时对状态方程的建立及初始值的选取进行分析总结。
Finally, it validated established model with each point displacement velocity chart, analyzed and summarized the established of state equation and selection of initial value at the same time.
通过理论分析和试验，导出汽心泵稳定工作的基本方程和性能参数之间的函数关系；
The fundamental equation of vapor pump and the functional relationship between, parameters are derived at stable operating condition in this paper.
由混合坐标方程导出姿态动力学逆传递函数矩阵，并分析其正规性。
The inverse transfer function matrix of attitude dynamics is derived from the hybrid coordinates equations, and its normality is analyzed.
方法对原始寿命数据进行生存函数分析，并利用相关的分析数据建立线性回归方程。
Methods Analyzing the Survival function of the original lifetime data, and developing Linear Regression Equations by means of related analysis data.
针对矩阵变换器调制方式的特点，提出了基于输出电压误差函数分析的矩阵变换器离散调制技术，推导了基于时间离散和差分原理的电路方程。
Based on the output-voltage error function, a novel time-discrete modulation technique is proposed for matrix converters (MCs) and time-discrete difference equations of a MC circuit are derived.
本文以幂函数方程，统计分析橡胶树萌动芽种植材料的不同芽长与持水力的关系。
The power function equation was used to analyse the relation between different bud lengths and water-retaining capacity of Hevea planting materials with young sprouts.
本文应用三次样条函数建立凸轮廓线方程，并进行机构的运动和动力分析。
The formulas of CAM profile are established through the use of spline function and a method is given for kinematic and dynamic analysis of the cams in this article.
采用复变函数将系统的动力学方程简化，利用谐波平衡法分析了系统的稳态解，得到了系统的幅频响应。
The stationary solution of system was solved by harmonic balance method, and the amplitude-frequency response was presented.
从自由涡运动方程出发，推导出管内流场的势函数和流函数方程，获得了管内流场的数学分析解；
Then basing on the free-vortex equation, potential equation and stream function of flow are achieved by mathematical analyze, and solving these equations gives flow fields.
利用精确度高的P - R状态方程和M -H81状态方程，采用余函数法对制冷剂的比定压热容进行了理论推算和比较分析。
Based on P-R equation of state and M-H81 equation of state with high accuracy, detailed calculation and analysis were made by utilizing residual function method.
在比色分析中，由指数曲线函数方程转换的直线化回归方程的图形，是表达指数曲线相关的最佳直线。
The figure of regression equation of linearise turned from the functional equation of exponential curve is the best line to express the correlation of exponential curve in colorimetric analysis.
介绍了奇异函数的特点，利用奇异函数建立了一种新的高层结构竖向构件分析模型，给出了基本柔度矩阵方程，并讨论了方程的基本性质和意义。
By use of singularity functions, a new analyzing model of vertical member in structural analysis of high rise buildings was established, and the matrix equation was also presented.
利用福克-普朗克方程的方法，讨论了RL回路中热涨落产生的电流效应，分析了噪声参数对电流定态几率分布函数的影响。
Using method of Fokker-Planck equation, effects of electrical current in RL circuit are discussed, and the effects of noise parameters on stationary probability distribution are analysed .
分析力学的拉格朗日方程是机械振动理论的基础，含耗散函数的拉格朗日方程又是这个基础的重要方面。
Lagrange's equation in analytical mechanics is the basis of the mechanical vibration theory and the equation with dissipation function is important to this basis.
反分析采用直接分析法并用复合形法求解目标函数方程。
Direct method is used in the inverse analysis and the equation of object function is solved with composite algorithm.
通过对步进电动机矩频特性及其运动方程序的分析，建立了步进电动机最高运行频率的数学模型，即最高运行频率为最大静转矩和负载转矩的函数。
The mathematical model of stepper motors maximum operating frequency is established based on the analysis of stepper motors torque-frequency characteristic and systemic motion equation.
应用需求函数理论对我国及全国西部的城镇居民需求进行分析，运用最小二乘法建立了单方程需求函数模型。
In this article we applied demand function theory to analyze demand of the whole nation people and the people of Chinese Towns in west, and establish single demand function Model.
由补充变量法和状态转移方程的分析得到了稳态队长分布的广义概率母函数表达式。
By using the supplemental variable method and the state transfer analysis the queue generating function is obtained.
还导出了用于非线性分析的样条函数线法增量方程；
The increment equations of the spline function method of lines are also given out for analyzing the nonlinear problem.
利用一种新的橡胶材料应变能函数，对橡胶楔体与刚性缺口接触大变形问题进行了分析。得到了楔体尖端场的渐近方程，对渐近方程进行了数值分析，得到了尖角附近应力及变形分布。
A new strain energy function was used to analyze a rubber wedge contact with a rigid notch. We found the asymptotic equations near wedge tip, and solved the equations with numeric method.
为了更准确地描述树高与直径的关系，文章综合分析了广泛应用于林窗模型中的四个数学方程，即二次曲线、幂函数方程、理查德方程和单分子方程。
Parabolic curve function, power function, Richards equation and single molecular equation, related tree height to diameter at breast height and widely used in forest gap model, were analysed.
本文重新推导了针对此类飞机的横航向运动方程和传递函数，并对模型进行了验证。可以为飞行品质分析、飞行模拟和空战仿真提供可用的数学模型。
In this paper, the new motion equation and transfer functions suitable for these fighters were deduced, then they were verified by using the actual data.
本文重新推导了针对此类飞机的横航向运动方程和传递函数，并对模型进行了验证。可以为飞行品质分析、飞行模拟和空战仿真提供可用的数学模型。
In this paper, the new motion equation and transfer functions suitable for these fighters were deduced, then they were verified by using the actual data.
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