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The spiral angle of graduated circle was rough estimated by measuring the addendum circle diameter and modified on milling machine.

介绍了精确测绘单一斜齿圆柱齿轮齿形参数的简便方法,即测量公法线长度计算基圆齿距从而查表确定模数和压力角;测量齿顶圆直径估算分度圆螺旋角,用分度头在铣床上修正分度圆螺旋角,并进行误差分析。

Utilizing wave function expansion method, all of the potential functions of scattered waves are transformed into one coordinate system with the aid of Graff's addition theorem.

使用波函数展开法,利用一组圆柱坐标系统和Graff加法转换定理,将散射波势函数的表达式变换到同一个坐标系。

In this paper, a series of lunar map projection formulas are deduced including azimuthal projections, cylindrical projections and conical projections. The lunar map projections software is compiled. By caculating lunar map projection distortions, their projection distortion rules are found. Base on the lunar exploration mission, the lunar map projection scheme is given in this paper. The azimuthal conformal projection or the circumcenter perspective azimuthal projection is usually used in small areas, especially in two poles. When the whole map of the moon is needed, the azimuthal conformal projection or the circumcenter perspective azimuthal projection is used within 10° in the poles, and the traverse tangent cylindrical conformal projection or the normal secant conical conformal projection can be used in else areas, furthermore, band-division is necessary to reduce the projection distortion.

本文推导了基于月球参考球的各种投影公式,主要包括方位投影、圆柱投影和圆锥投影;编制了月球地图投影计算软件;对多种月球的投影变形进行了详细的计算,总结分析了各种月球投影的变形规律;结合月球探测的需要,给出了月球投影方案的建议:对于局部的面积较小的投影区域,建议使用等角方位投影或外心透视方位投影;如果绘制月面全图,在两极10°范围内采用等角方位投影或外心透视方位投影,其余区域可以采用等角横切圆柱投影和等角正割圆锥投影,并且要进行分带处理。

This paper introduces the food refrigerated theory and the basis of the current industry refrigerated developments in the situation; And then in the long cylindrical-shaped food heat conduction process and the mathematical model using the method of differential thermal conduction equations for discrete, Programming come through long cylindrical-shaped food cooling process numerical solution; After further analysis of numerical solution of the test results; Finally, the impact of the cooling process food all relevant factors, such as moisture content, wind speed and temperature of the cooling medium for in-depth research, while comparing the different shapes of food to food cooling process.

本文首先介绍了有关食品冷冻冷藏的基础理论和目前冷冻冷藏行业的发展的发展概况;然后研究了长圆柱状食品热传导过程的数学模型并利用差分的方法对热传导方程进行离散,通过编程得出长圆柱状食品冷却过程的数值解;之后再分析解对数值解的结果进行验证;最后对影响食品冷却过程的各相关因素,如含水率、风速和冷却介质温度等进行了深入的研究,同时又对比了不同形状的食品对食品冷却过程的影响。

Then, the differential equations are solved by the Fourier expanding and Hankel integral transform method. Integral solutions of soil skeleton displacements and pore pressure as well as the total stresses for poroelastic media are obtained. Furthermore, a systematic study on Lamb's problems in transversely isotropic saturated half-space is performed. Integral solutions for surface radial, vertical and tangentical displacements are obtained both in the case of drained surface and in the case of undrained surface excited by vertical and tangentical harmonic resources respectively. Numerical results show the obvious difference between the model of isotropic saturated poroelastic media and that of transversely isotropic saturated poroelastic media.

其次,基于Biot波动理论,在圆柱坐标系下求解了横观各向同性饱和土的Biot波动方程:通过引入位移函数,在圆柱坐标系下将横观各向同性饱和土的Biot波动方程转化为两个解耦的6阶和2阶控制方程,然后根据方位角的Fourier展开和径向Hankel变换,求解波动方程,得到以土骨架位移和孔隙水压力为基本未知量的积分形式一般解,并用一般解给出了饱和土总应力分量的表达式;再以基本解为基础,系统地研究了横观各向同性饱和半空间体的Lamb问题,考虑表面排水或不排水两种情况后,首次得到横观各向同性饱和半空间体在表面竖向和水平谐振力作用的下径向、竖向和周向位移的解析解。

This thesis analyzes the types and art trait of solar-assisted heat pump water heater, the development trend of direct expansion solar-assisted heat pump water heater, makes a summary of these research results from six aspects. On the basis of these works and from the point of view of receiving optimum solar radiation , the thesis develops a novel design model of direct expansion solar-assisted heat pump water heater with a truncated cone collector/evaporator, theoretically analyzes the heat that the system can absorb, compares its ability with other two types of cylinder and flat plate ones, and calculates COP and EER with computer aids. The results show that a truncated cone direct expansion solar-assisted heat pump water heater can absorb not only more solar energy but heat energy in air. It takes on favorable thermal performance. Under the average day in February which is of the worst weather throughout the year in Kunming, the COP is about 4. 2, EER is about 2.9 . The heat absorbed by the system are more than those of the other systems. The system is very great in terms of saving

本文分析研究了太阳能热泵热水系统的分类及技术特点,直膨式太阳能热泵技术国内外发展趋势,从六个方面对直膨式太阳能热泵热水系统的研究进行了归纳总结;在此基础之上,从太阳辐射的最佳接收考虑,提出了集热器/蒸发器为圆台侧面的圆台型直膨式太阳能热泵热水器的设计模型,理论上分析了这种热水系统所接收的太阳辐射和得热量,并与圆柱型、平板型的直膨式太阳能热泵热水系统进行对比分析,通过计算机辅助模拟计算出:系统不但可以有效地吸收太阳能,还能有效地吸收空气中的热量,具有良好的热性能;在昆明,以2月为代表的冬季,其太阳辐照较低,系统的制热系数COP值也能达到4.2,效能比EER值为2.9;系统的得热量高出圆柱型、平板型的直膨式太阳能热泵热水系统,节能效果明显。

In the buckling question under nonconservation force,a simply example( the dynamic stability question under the uniformly follower forces with small deformation % linear elastic, straight normal.) is considered.The variational equation of braid composite cylindrical shells subjectd to uniformly follower forces is deduced based on the variation principle of quasinatural frequency of elastic nonconservative system self-excited vibration.The calculated formulas of the flutter load and quasinatural frequency of shells are obtained. The program for calculating the flutter load is developed.The numerical example is given and some useful conclusions are obtained.

对非保守力作用下的屈曲问题,具体研究了圆柱壳在比较简单的情况,即小变形、线弹性、直法线假设下在随动力作用下的壳屈曲问题,由拟固有频率变分原理推出了圆柱壳受随从力作用的变分方程,得到了颤振载荷与壳弯曲的固有频率的计算公式,编制了相应的计算机程序,并给出了具体算例,得到了一些有益的结论。

Basing on this mode and his two invention patents, chooseing ANSYS as platform and linking the important project of JiLin province Science and technology ministry 'cylindrical and cone spurgears rolling preform and extrusion precise forming equipment research and manufacture for automobile'(NO.20030311), the author made the finite element numerical simulation about elasto-plastic large deformation heat-force couping of rolling preform and stamping-extrusion and bulge-extrusion combining precise forming for spur gear', investigated qualitativiely and quantitatively on the gears formability for the environmental and the blank parameters , summarized some useful conclusions.

本论文是我的导师宋玉泉教授关于&塑性精密成形&研究方向的一个组成部分,按照他所提倡的&科、教、产一体化&培养模式,并以他的两项发明专利为依托,立足于以ANSYS软件为模拟平台,密切结合吉林省科技厅重点项目&汽车用圆柱圆锥直齿轮滚轧和挤压精成形设备研制&(批准号:20030311)和吉林大学超塑性和塑性研究所&直齿轮中试生产线建设&,开展了对&圆柱直齿轮滚轧制坯-镦挤、胀挤复合精成形&的有限元弹塑性大变形热-力耦合数值模拟,对环境参数和轧件内部的参数对制件成形性的影响进行了定性和定量的研究,总结了一些有意义的结论。

The forming experiment on hemisphere testified that the transforming pattern of MBWK fabrics was similar to woven fabrics under the condition of ignored yarns slippages. In the forming experiment on rectangular box, the obvious yarns slippages were observed during the forming process, so the pin-jointed net model used by woven fabrics didn't adapt to MBWK fabrics. Based on this finding, a new mathematical model using a macroscopic approach was established for predicting the unfolding shape of flat MBWK fabrics after deformation. In addition, the effect of position of constraint yarns on forming results was analyzed.

半球的织物成型实验证明了在纱线滑移可以被忽略的情况下,MBWK织物的变形规律和机织物相同;立方体的织物成型实验中,MBWK织物有明显的纱线滑移现象,机织物的成型模型不再适用,因此从宏观角度建立了全新的成型模型,并讨论了不同铺覆起始位置对成型效果的影响;对织物圆柱成型实验的研究主要着重于织物成型后纱线滑移现象的分析,描述了纱线在圆柱成型过程中的滑移特点及规律。

Themapping function sequences including circular cutouts and elliptical cutouts aregiven in this chapter.

然后为方便地满足圆柱壳大开孔的边界条件,通过复变函数方法中的用来求解多边形映射问题的Schwarz-Christoffel积分表达式,将圆柱壳展开面上的非圆非椭的开孔边界曲线保角映射成为单位圆,给出了在不同开孔率情况下的关于圆孔和椭圆孔的保角映射函数的具体形式。

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