Based on the nonlinear geometry field theory of continuum mechanics, this paper analyzes the stress field due to a screw dislocation in an infinite medium.
本文以非线性连续体几何场论为理论基础，分析了无限大体中一个螺位错引起的应力场。
Secondly, it discussed the deflection in stability of arch bridge and geometry nonlinear theory on ultimate load-carrying ability.
其次，论述了关于拱桥稳定性的挠度问题和极限承载力的几何非线性理论。
Differential geometry method is an important approach in the researches of control of nonlinear system.
非线性系统的微分几何理论是目前研究非线性系统控制的一个重要方法。
But the nonlinear characteristic of the materials and the geometry make its resolution and calculation very difficult, and so its design or production mainly depends on repeating experimentation.
几何和材料非线性的特点使得其弹性特性的解析计算非常困难，其设计和制造主要依赖于反复的实验。
The structure of this system is demanded mainly from carry cable, track cable and hanger. it is a strong geometry nonlinear structure.
该系统的承重结构主要是由承重索、轨索、吊索组成的一个索网结构，具有较强的几何非线性。
This article use nonlinear finite element method, considering the non-linearity both in material properties and in geometry of deformations.
本文采用的是非线性有限元法，它计及了材料和几何的非线性因素。
For general nonlinear control systems, it is well-known that the differential geometry method is a type of classical method to realize local stabilization.
众所周知，对于一般非线性系统的控制。微分几何法是实现局部镇定的经典的方法。
It is also shown that focused geometry arrangements can be employed for measurements of nonlinear refractive index with a higher sensitivity than that of common Z scan techniques.
分析也表明，聚焦几何排布可用于非线性折射系数的测量，并具有比常规Z扫描方法更高的灵敏度。
The model include material nonlinear, geometry nonlinear and state nonlinear.
模型包括材料非线性、几何非线性、状态非线性。
Geometry nonlinear and material nonlinear and state nonlinear and dynamic load were involved in simulating course.
在模拟过程中涉及几何非线性、材料非线性、状态非线性和动态加载等问题。
This paper is based on the differential geometry, researching on the nonlinear excitation control of the synchronous generator.
本文主要是基于微分几何的理论，研究同步发电机励磁的非线性控制问题。
Because of material nonlinear, geometry nonlinear and contacting nonlinear, the small time step is adopted to improve convergence of the calculation.
由于计算中存在着材料非线性、几何非线性以及接触非线性问题，为了提高计算的收敛性能，采用了小时间计算步长。
Hysteretic behavior of steel beam-column web connections in steel frames under cyclical load is simulated by finite element method involving material, geometry and status nonlinear.
考虑材料、几何和状态三重非线性，对钢框架梁柱腹板连接在循环荷载作用下的滞回性能进行了有限元模拟。
Secondly, differential geometry theory has been introduced to permanent magnet thruster motor for solving the problem of nonlinear object difficult to control.
第二、将微分几何理论引入到永磁推进电机系统中，以解决非线性控制对象难于控制的问题。
So the effect of the material nonlinear and geometry nonlinear should be considered when the stability issue is analyzed.
所以在计算稳定问题的时候，应该计入几何非线性和材料非线性的影响。
Firstly, the error of fit must be defined for nonlinear least-square fitting of generalized geometry model. Then the nonlinear optimization algorithm can be used to obtain the optimum solution.
对于一般几何模型的非线性最小均方误差拟合，首先必须定义拟合误差，然后采用非线性最优化方法求解最小误差意义下的最优解。
A comparative study of two decoupling control methods based on vector control and nonlinear multi-input-multi-output state-feedback based on theory of differential geometry is researched.
对异步电动机的矢量控制和基于微分几何理论的非线性多输入多输出状态反馈两种解耦控制方案作理论和试验比较研究。
Absrtact: the fractal theory is an effective tool to describe irregular geometry form and structure in nonlinear system and its application is greatly wide.
摘要：分形理论是描述非线性系统中不规则的几何形体的有效工具，应用领域十分广泛。
Aiming at the solving problem of equilibrium solution of this nonlinear model, geometry theory of differential equations is adopted, and the relative calculation formula is given.
采用微分方程几何理论分析河流综合水质模型的基本方程，探讨了河流综合水质模型的平衡状态解的求解方法，并给出相关计算公式。
However, the machine tools-cutter-workpiece-fixture is a complicated nonlinear dynamic system. It is determined by the system's physical, geometry and milling process's characteristics.
但是，由于系统的物理性质，几何性质和铣削工艺的特殊性决定了机床-刀具-工件-夹具系统是一个复杂的非线性动力学系统。
Be different from other control methods, differential geometry deals with nonlinear problems in substance.
不同于其他控制方法，微分几何控制理论是本质上对非线性系统进行处理的方法。
In the paper a solution method of nonlinear programming is given by using the theory of description geometry inn dimensions.
本文运用多维空间投影的理论和方法，给出了非线性规划的一个通用解法。
Based on example analysis and results comparison, the geometry-material nonlinear method is considered as the most reasonable one.
本文通过算例分析和对比，认为双非线性分析法可得出更合理的结果。
Some new development of nonlinear statistical analysis is reviewed in this paper with emphasis on using differential-geometry methods to the nonlinear statistical inference.
本文介绍近年来非线性统计的若干新进展。着重说明微分几何方法对于非线性统计推断的应用。
Both nonlinear effects of material and geometry are taken into account.
同时考虑材料和几何两方面的非线性。
Rotor balancing of hydraulic power sets is studied by the nonlinear rotor-dynamics theory, the lots of factors are analyzed, and the geometry and mechanics models are created.
同时针对该电站水轮发电机组转子动不平衡现象，采用基于非线性转子动力学理论方法对机组动平衡进行了研究。
Based on the differential geometry theory, a mathematical model of milling cutter and a generalized 3-dimension nonlinear model of element cutting force are developed in this paper.
基于微分几何理论建立了任意形状铣刀的数学模型，给出适用于任意形状铣刀的三维单元铣削力模型。
Based on the differential geometry theory, a mathematical model of milling cutter and a generalized 3-dimension nonlinear model of element cutting force are developed in this paper.
基于微分几何理论建立了任意形状铣刀的数学模型，给出适用于任意形状铣刀的三维单元铣削力模型。
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