曲率

A method for identifying the damage, using the influence line curvature of deflection differential values at a point before and after the damage is proposed, that is, when the moving load is in the area without the damage, the influence line curvature is zero, however when the moving load is in the area with the damage, the influence line curvature evidently increases and has the relationship with the positions of the damage points and the rigidity of the beam before and after the damage.

提出利用损伤前、后某一点的挠度差值影响线曲率来识别损伤的方法，即当移动荷载位于无损区域时，挠度差值影响线曲率为0，当移动荷载位于有损区域时，挠度差值影响线曲率明显增大，且与损伤点的位置、损伤前后的刚度有关。

Mean curvature ; gaussian curvature ; principal curvature ; mesh simplification ; virtual reality

平均曲率；高斯曲率；主曲率；网格简化；虚拟现实

We can regard the narrow gauge mine car and the level man car as a evolution of the inclined-shaft man car ,the computing methods of the radius of curvature between them are same,so the study of the passing radius of curvature for the inclined-shaft man car is of great significance,which will produce far-reaching effect for design,test,research and development of the man car and the gauge car.

矿用窄轨矿车和平巷人车可以看成是斜井人车的一种演变，其曲率半径的取值方法同斜井人车的曲率半径取值方法基本上是一致的，所以斜井人车所能通过的曲率半径的取值方法的研究有着重要的意义，对人车和窄轨矿车的设计、检测检验、研发也有着深远的影响。

In this paper an analysis has been made to some regions of magnetosphere, including the Nightside, Cusp and Duskside. By applying the Curvature Radius Method to the magnetic field data measured by four satellites of Cluster, the geometrical structure of Magnetic Field Lines, including the curvature radius, directions of curvature and normal of the osculating planes of the Magnetic Field Lines have been investigated.

本文采用曲率半径分析方法，结合Cluster立体探测的相关知识和背景，利用Cluster立体探测的优势，通过对Cluster 2001年的立体探测数据的研究，分析了磁层各区域的磁力线结构，包括背阳面、Cusp区以及昏侧，得出各区域中磁力线的曲率半径大小，曲率矢量以及磁力线密切面的法线矢量的方向。

Using the changing rate of maximum feed-rate as a threshold,the surface of the part is divided into different areas according to the values of normal curvature radius.Then the feed-rate is adjusted by constant velocities of cutter contact,thus the adaptive variation of feed-rate can be reached.An example is given to prove the ra...

以最大工作进给速度的变化比率为阈值，把零件表面的法曲率半径划分为不同的区域；在不同的曲率区域内，分别以恒定的刀触点速度对进给速度进行修正，修正后的进给速度随着零件表面曲率的变化而自适应变化；实例表明该方法具有合理性和有效性。

In this paper, we introduce the estimation and algorithm o f p arameter and some diagnostic statistics. We deduce the computation formula of curvature and conformal normal curvature for four perturbations of models.

本文主要介绍了指数族非线性模型的参数估计及其算法，若干诊断统计量，并将保形法曲率应用到指数族非线性模型中，推导了模型四种扰动方式的曲率和保形法曲率计算公式。

Thus, to study tooth surface curvature is significant. However, from the published information, the curvature of face gear drives hasn′t been well studied until now. Based on the knowledge of differential geometry, a method for calculating principal curvature and principal directions for face gears is established, and thus the principal v...

文中利用微分几何原理推导了面齿轮传动的齿面主曲率与主方向，由此得出面齿轮传动中诱导法曲率的两个主值；开发了相应的程序；进行了实例计算；分析了传动中的主要参数对曲率的影响，所获得的结论对面齿轮传动的强度计算与分析具有参考价值

The parameters are :① reservoir effective thickness;② reservoir porosity;③ reservoir volume efficiency;④ fair pay ′ s reservoir volume efficiency;⑤ distance to the fault;⑥ reciprocal of the square root of the distance to the fault ）;⑦ apparent fold strength coefficient;⑧ maximum principal curvature of structural plane;⑨ transversal section line curvature;and ⑩ longitudinal section line curvature.

摘 要 介绍了气井产能的确定方法及地质参数的选择与计算方法：采用初始二项式无阻流量、稳定产量及初始采气指数作为气井产能评价的指标；10项参数分别是①储层有效厚度；②储层孔隙度；③储容系数；④好储层的储容系数；⑤与断层的距离；⑥与断层距离开方的倒数；⑦视褶皱强度系数；⑧构造面最大主曲率；⑨横向剖面线曲率；⑩纵向剖面线曲率。

This article that focuses on the systematic and in-depth research in the current primal problem about abnormal burst pressure reservoir depress burst pressure has procured following main fruits:1 It forms the method which could obtain massive vertical static state mechanics parameters.2 In a foundation of acquisition of rock mechanics parameters,apply bent lamella that as mechanical model along with characteristic of actual geologic characteristics to analysis curvature for anticlinal strcture, get homologous tectonic stress value throug relation between the curvature and stress and different principal curvature in anticlinal structure,consequently set up laminational stress model for anticline reservoir. The block lamination for existed fracturing date has formed method of setting up mechanical model of lamination terrestrial stress by abtaining the block tectonic stress coefficients which are got by complex utilization test, laboratory test and fracturing date playback.3 Analysesing the main reason which lead to high burst pressure by considering the characteristic of reservoir geology,reservoir,and rock mechanics and reservoir damage,etc.Establishing burst pressure quantitative prediction model which provide gist for depressing construction risk and optimizing construction craft under the condition of open hole completion ,gun-perforated completion and damaged reservoir.4 Provding theoretical basis for interpreting acidification pretreatment which could depress busrt pressure by finding the relation between the influencing factors and rock machanics parameters and analysing the factors that have effect on rock mechanics parameters. Expounding the mechanism of reaction of mixed monomineral and acid from the angle of microcosmic element, evaluating quantitatively acid sensilility of different kinds of mineral effectively, and determing the first-order reaction dynamical equation of each mineral.5 Revealing rock mechanics property chage as a result of acid flooding in different condition by sandstone traumata experiment in different temperatures which combined with rock mechanics triaxial stress experiment.6 Associating damage mechanics with sandstone acidizing, established sandstone damage mechanics model in the foundation of the recognition on the rock mechanics parametric variation which is caused by acid-rock reaction in both macroscopic view and microscopic view ,also demonstrated those processes and quantitative estimated the acid busrt pressure to direct the site operation.

本文针对目前异常破裂压力储层降低破裂压力的主要问题展开较为系统和深入的研究，取得了以下主要成果：1形成了利用测井资料，结合室内岩芯测试结果，获取静动岩石力学参数的相关性特征，从而获得纵向上大量静态力学参数的方法。2在获取了岩石力学参数的此基础上，利用弯曲薄板作为力学模型，结合区块实际地质特征对背斜构造进行曲率分析，通过曲率与应力的关系，利用背斜构造不同部位的主曲率求得相应的构造应力值，从而建立起背斜储层的分层应力模型；对已有压裂资料的区块分层，形成了综合利用测试、室内实验、压裂资料反演获得该区块构造应力系数，建立起分层地应力的力学模型的方法。3综合考虑储层地质、油藏、岩石力学特性和储层伤害等因素，分析造成高破裂压力的主要原因，综合利用岩石力学、弹性力学等知识，建立了裸眼完井、射孔完井条件下以及储层受到伤害后的储层破裂压力定量预测模型，为降低施工风险和优化施工工艺提供了依据。4完成了物性、岩性影响岩石力学参数的因素分析，找出了各影响因素和岩石力学参数之间的关系，为从机理上解释酸化预处理降低破裂压力提供了理论基础；从微观元素的角度阐述了单矿物与酸反应的机理；并在此基础上，有效评价了各种矿物的酸敏感性，定量确定了岩石中各矿物的一级反应动力学方程。5完成了不同温度下的酸液类型、酸液浓度、注酸量等一系列砂岩损伤实验，结合岩石力学三轴应力实验，系统揭示了在不同条件下注酸而引起的岩石力学性质变化。6将损伤力学与砂岩酸化相结合，在宏观、微观两个方面认识酸岩反应引起岩石力学参数变化基础上，建立了砂岩损伤力学模型，并对其进行验证，在此基础上定量计算酸化后的破裂压力，有效指导现场施工

Its principle is based on that there are some rdationships between curvatures of the theoretical profile surface and the real profile surface Curvatures of theoretical profile surface,which is a ruled surface,are easy to get.

该方法利用等距曲面间的曲率关系进行凸轮廓面曲率的解析计算。由于理论廓面是直纹面，其廓面曲率容易求得。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。