查询词典 rectangular formula

The theoretical solution of eigenfrequencies and vibration models of rectangular thin plate on foundation with completely free boundary was derived by the double finite cosine integral transform method. In the analytical process, the elastic foundation was regarded as Winkler foundation model.

将弹性地基以Winkler模型模拟，利用双重有限余弦积分变换的方法推导出了弹性地基上四边自由矩形薄板的固有频率和振型的解析解表达式。

Because of the cragginess of the 3-D surface, the distortion stripes appear when the common rectangular grating or sine grating is projected onto the object surface, which includes information about the 3-D surface profilometry. The images including distortion stripes are taken by CCD camera. The 2-D stripes information is got after processing these images. On the basis of mathematic reconstruction model and arithmetic, the 3-D surface profilometry data are gotten.

用普通白光将矩形光栅或者正弦光栅投影于被测物体表面上，由于物体外形凹凸等几何形状变化而在物体表面产生畸变条纹，这些畸变条纹就包含了物体表面形状的三维信息，由CCD摄像头摄取这些畸变条纹信息，对这些图像进行相应的处理，得到有关条纹中心线的二维信息，然后再根据相应的数学转换模型和重构算法对物体的轮廓进行重构，就可以得到被测物体表面的三维外形数据信息。

Because of the cragginess of the 3-Dsurface, the distortion stripes appear when the common rectangular grating or sine grating is projected onto the object surface, which includes information about the 3-Dsurface profilometry. The images including distortion stripes are taken by CCD camera. The 2-D stripes information is got after processing these images. On the basis of mathematic reconstruction model and arithmetic , the 3-D surface profilometry data are gotten.

用普通白光将矩形光栅或者正弦光栅投影于被测物体表面上，由于物体外形凹凸等几何形状变化而在物体表面产生畸变条纹，这些畸变条纹就包含了物体表面形状的三维信息，由CCD摄像头摄取这些畸变条纹信息，对这些图像进行相应的处理，得到有关条纹中心线的二维信息，然后再根据相应的数学转换模型和重构算法对物体的轮廓进行重构，就可以得到被测物体表面的三维外形数据信息。

The basic structure of the gyroscope is a cantilever beam mass structure. The cross section of the beam is rectangular.

陀螺的基本振动结构为悬臂梁-质量块结构，梁的截面为接近于正方形的矩形。

Cross cut shredders turn paper into diamond, rectangular, or parallelogram shapes.

红十字会反过来削减碎纸机纸变成钻石，长方形或平行四边形的形状。

This article focuses on the line-line, line-region and region-region topological relations algorithm, which come down to the same question: whether there are intersections between line and line. The sweep-line algorithm was studied by many people, but has some deficiencies to be improved, in order to handle some special cases and increase program efficiency. My works as follows: rectangular envelope to reduce executive times , vector cross multiplication to determine intersection between line and line, coordinates and slope method to deal with some special cases. C program examples are showed together.(5) Finally, to prove capability and efficiency of the model and calculation method, some test systems are developed. For example, complex spatial topological relation query, parcels' exact area with the area of linear object reduced in land use, quality inspection to cadastral data according to topological rule, spatio-temporal change query of cadastral data.

将线线、线面、面面之间的拓扑关系实现的算法归结为线与线之间求交的基本问题；为处理一些特殊的拓扑关系情况，提高扫描线算法的效率，探讨了包络矩形粗滤、判断线线是否相交的矢量叉乘法、线节点重合或共线的斜率坐标判断法等改进方法；同时还设计了一种新的节点微小圆求交的算法，可应用于图斑与线状地物细分拓扑关系及地类面积的计算；（5）本文设计了实验系统，包括复杂对象的拓扑关系表达与计算程序、图斑地类面积的计算程序、基于空间拓扑关系规则的地籍数据库质量检查功能，以及时空拓扑关系和变化语义分析等原型，验证了拓扑关系表达模型和计算方法的可行性和实用性。

The Cuna bath tub features clean lines, crisp edges and a simple rectangular shape with flair.

该库纳浴缸功能线条，清晰边缘和一个简单的才华，长方形。

There are fourteen chapters, including introduction, plane stress and plane strain, two-dimensional problems in rectangular coordinates, two-dimensional problems in polar coordinates, photoelastic and moire experimental methods, two-dimensional problems in curvilinear coordinates, analysis of stress and strain in three dimensions, general theorems, torsion, bending of bars, axisymmetric stress and deformation in a solid of revolution, thermal stress, the propagation of waves in elastic solid media, at last there is an appendix on the application of finite-difference equations in elasticity.

全书共十四章，包括绪论、平面应力和平面应变、直角坐标中的二维问题、极坐标中的二维问题、光弹性与云纹实验方法、曲线坐标中的二维问题、三维应力和应变问题、一般定理、简单的三维弹性问题、扭转、杆的弯曲、回转体中的轴对称应力和变形、热应力、弹性固体介质中波的传播，最后有一附录，讲述差分方程在弹性理论中的应用。

For example, copies a rectangular portion size is 6 inches x 9-inch image design in a picture format, 8.5 inches x 11 inches in the middle of the 印张, when it will be necessary to cut on the four sides are 印张 will be trimmed; but if the image placed in an angle (for example, on the upper-left corner), you just need to cut both ways, thereby saving a membership card after processing time and reduces business card printing and membership card production costs.

例如，将一幅尺寸为6英寸×9英寸的图像设计在一张幅面为8.5英寸×11英寸的印张中间，裁切时就需要对印张的四边都进行裁切；但如果将图像放置在某个角上，就只需要裁切两边即可，从而节约了会员卡制作后加工时间，也降低了制卡和会员卡制作成本。

Copies a rectangular portion size is 6 inches x 9-inch image design in a format to the x 11-inch 8.5 inches, the 印张 will be trimmed when you need to 印张 of four sides are cutting; if placed in a corner, you just need to cut both ways, saving a membership card after processing time and reduces business card printing and membership card production costs.

将一幅尺寸为6英寸x9英寸的图像设计在一张幅面为8.5英寸x11英寸的印张中间，裁切时就需要对印张的四边都进行裁切；如果放置在某个角上，只需要裁切两边即可，节约了会员卡制作后加工时间，降低了制卡和会员卡制作成本。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。