查询词典 planar point

The kinematic analysis of a planar cam mechanism can be realiaed by the method that the higher pair is substitute for lower pair, and then it is equivalent to a planar linkage. The main point by the way is how to calculate the radius of curvative of planar cam profile.

对于平面凸轮机构的运动分析可以用高副低代的方法将其转化成平面连杆机构来进行，而高副低代后关键的问题是如何在书籍平面凸轮廓线的基础上求解凸轮的曲率半径。

Experimentally, multi-pores are observed on leukocyte lysed with 3D electrodes and just single pore with planar electrodes. This is believed to be due to more uniform electric field of 3D electrodes than that of planar electrodes. Intracellular elements are extracted through the membrane as observed by increased intensity of Trypan blue when diluted by saline solution. We also demonstrate the lysing percentages at same flow velocity to explain the performance of 3D electrode is superior to that of planar electrode.

在实验方面，可发现细胞在3D 电极的形况下，是有多个破孔出现，有别於在平面电极的单个破洞，也发现当细胞出现破孔时，经由Trypan blue的辅助观察以及在食盐水稀释情况下，细胞内液是往外流出的，另外由裂解比率的结果，3D电极也是优於平面电极。

This thesis investigates the profile extraction and shape optimization on the result of topology optimization of planar compliant mechanisms. The main context includes the following work:(1) summarizing and analyzing the recent research status, some harvest and unsolved problems;(2) analyzing the conceptual design of planar path-generating compliant mechanisms and its mathematical model and tools;(3) Modifying the method of density contour as the method of profile extraction, and developing a method to optimize the density function in the profile extraction according to the requirement of the design of compliant mechanism;(4) developing a method to abstract the compliant mechanism into a form of links and joints by using the principle of connectivity on topology;(5) developing a method of shape optimization of planar path-generating compliant mechanisms, by representing the profile of the abstracted compliant mechanism as simple curves such as straight lines and arcs, establishing the models of the size optimization of the parameters of these curves, so that the compliant mechanism has a machinable shape;(6) At last, proving the feasibleness and effectiveness of the design method by making simulation design and validating it in FEA software.

主要工作包括：(1)分析了柔顺机构拓扑优化和形状优化的研究现状，分析了目前柔顺机构的研究重点、主要成果和尚未解决的问题；(2)分析了基于SIMP的柔顺机构概念设计方法及其相关工具和模型；(3)针对柔顺机构轮廓提取的特殊要求，提出了密度等值线法的改进方案，对密度函数插值点密度值进行优化，提出优化模型和选择优化算法；(4)根据轨迹输出平面全柔顺机构自身的形状特点，提出了轨迹输出平面全柔顺机构的抽象方法，即应用拓扑学上的连通性原理将柔顺机构抽象成杆件和结点形式，并对相应的数学原理进行了证明；(5)提出了平面全柔顺机构的形状还原和尺寸优化方法，对抽象的柔顺机构进行还原，将其轮廓还原成简单曲线的连接，从而建立尺寸优化模型，对机构进行尺寸优化设计，在得到可加工的机构轮廓的同时又能对关键部位进行特别处理；(6)进行了柔顺机构的数值仿真设计，并将所得设计结果导入商用有限元软件中进行仿真实验，证明了设计方法的可行性和有效性。

A magnetic source and condenser for protecting a pipe, ionizing any fluid flowing therein, and ionizing any dissolved and suspended solids in such fluid, comprising:a magnetic source including a magnet having a pair of opposed planar major faces and a planar minor face extending between said major faces and perpendicular to said major faces,said magnet being charged so that one of said major faces is a south pole and the other of said major faces is a north pole,a magnetic condenser a pair of pole pieces, each of said pole pieces having a pair of opposed planar major faces, one of which is an inner major face and the other of which is an outer major face, the area of said inner major faces being equal to that of the major faces of said magnet, the area of said outer major face being larger than each of said major faces of said magnet,said pole pieces being positioned on opposite sides of said magnet such that said pole pieces sandwich said magnet, said inner major face of each pole piece is contiguous with and completely covers an entire major face of said magnet, and said outer major face of each pole piece faces away from said magnet,each pole piece having an integral foot extending perpendicularly to said inner major face of each pole piece such that said pole pieces have two respective integral feet which extend toward each other and are substantially coplanar, each foot having a distal and a proximal surface with respect to said magnet, each foot having an end which is spaced from the end of the opposite foot,said distal surface of each foot having a predetermined concave curvature which will conformingly mate with an outside surface of a pipe having a predetermined convex curvature,said proximal surface of each foot being contiguous with said minor face of said magnet

我要求： 1。一台磁性来源和冷凝器为保护管子，电离任何流体流动在其中，和电离任何被溶化的和暂停的固体在这样的流体里，包括：一个磁性来源包括磁铁有一对被反对的平面主要面孔和一张平面较小面孔延伸在前述主要面孔和垂线之间对前述主要面孔，前述磁铁被充电以便前述主要面孔的当中一个是南极并且其他前述主要面孔是北极，一台磁性冷凝器每对杆片断，每个前述杆片断有一对被反对的平面主要面孔，其中之一比每个是是一张外面主要面孔的一张内在主要面孔和其他，前述内在主要面孔区域是相等的与那前述磁铁，前述外面主要面孔区域的主要面孔大的前述磁铁的前述主要面孔，前述杆片断被安置在前述磁铁的反面这样，前述杆片断三明治认为磁铁，各个杆片断的前述内在主要面孔是接触的与和完全地包括前述磁铁的一张整个主要面孔，和各个杆片断面孔的前述外面主要面孔从前述磁铁，各个杆片断有一只缺一不可的脚垂直地延伸对各个杆片断的前述内在主要面孔这样，前述杆片断有延伸往彼此和极大地coplanar 的二各自缺一不可的英尺，各只脚有末端和接近表面谈到前述磁铁，各只脚有被间隔从相反脚的末端的末端，各只脚前述末端表面有与管子一个外表面conformingly 将联接有被预先决定的凸面曲度的被预先决定的凹面曲度，各只脚前述接近表面是接触的与前述磁铁的前述较小面孔

Finally, the new approach is extended to synthesis planar six-bar linkages, so that a unified model is established from synthesis of planar four-bar linkages to that of planar six-bar linkages.

本文最后将平面四杆机构综合方法推广到平面六杆机构的综合中去，建立了从四杆到六杆的一致的优化模型。

In this paper, numerical calculations of magnetically induced twist effect in planar nematic liquid crystal are presented. The transmission of polarized light passing through magnetically induced twist distribution in planar nematic liquid crystal is calculated with "4-4" matrix algorithm. On the experimental side, the optical phase retardation method is used to detect the magnetically induced twist effect in planar nematic liquid crystal 5CB(4′-n-penty1-4-cyanobiphenyl) at 27℃.

对平行排列5CB(4′-n-penty1-4-cyanobinpheny1)丝状液晶在静磁场中扭曲变形做了严格的数值解，给出了严格分布情况；利用光学&4*4&矩阵算法，计算了线偏振光在严格分布下的传输情况；在实验方面，应用光学相位延迟法对平行排列5CB丝状液晶在静磁场中(温度27℃)线偏振光的通过情况进行了测量。

To generate planar tiling images with different visual effect by the same iterating mapping, we present a method that allows the P1 planar tessellations to be constructed by a planar dynamic systems with non-equidistant cyclic windows.

为了用同一个迭代映射构造出多个不同视觉效果的平面连续排列图案，提出一种用变周期窗口的动力系统生成具有P1对称特性的平面排列图案的有效算法。

The existing points and lines would form a closed geometric shape. If we put the new point Z outside the closed geometric shape at first and later then found that the point Z has neighboring relationship with the existing point A which is inside the closed geometric shape, we could not link point Z and A directly because that would bring line crossing. If we rearrange the point Z into the closed geometric shape, that also would cause a lot of work to do. With the help of Exclave, all problems could be solved easily. We use point X outside the closed geometric shape as the Exclave of the point A. Then the line between point Z and X could demonstrate the neighboring relationship of the point Z and A.

原有的各点和相邻线段往往会形成一个封闭的几何图形，如果我们把新增点 Z 设在原有的封闭几何图形外部，后来又发现该点 Z 和位于封闭几何图形内部的点 A 存在相邻关系，这时不能直接将两点连接因为那将产生交叉，而如果将点 Z 重新设在封闭图形内部也将导致大量的调整工作；此时借助外飞地的概念，可以轻松地解决上述问题，即在封闭几何图形外部设置点 X 作为点 A 的外飞地，两点使用同样的颜色，用点 Z 和点 X 的相邻线段表示点 Z 和点 A 之间的相邻关系。

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The dominant point detection ability of the proposed planar contour dominant point detection method is tested by an emulational planar contour which includes all kinds of dominant points.

采用包含各种类型特征点的仿真平面轮廓，对本文提出的平面轮廓特征点检测方法的特征点检测能力进行了测试。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。