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calculation
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  calculation
This boils down to a Duistermaat-Heckman exact stationary phase calculation, involving a Poisson structure on the dual symmetric space G0/K discovered by Evens and Lu.
      
The efficient Fourier transform also makes possible the efficient calculation of convolution over SO(3) which has been used as the analytic engine for some new approaches to searching 3D databases (Funkhouser et al., ACM Trans.
      
Based on the calculation results obtained, a series of new 3-hydroxy-2-oxo-3-trifluoromethylindoles were synthesized as a novel class of potential RT inhibitors.
      
Synthesis, AM1 calculation, and biological studies of thiopyran-4-one and their azine derivatives
      
The main feature of the method in this paper is that the surface so constructed is polynomial, which makes the construction simple and the calculation easy.
      
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In this paper the working stroke of a screw press is onalyzed, leading to for- mulas for the determination of the maximum stress in its frame. The working stroke is considered to consist of two successive stages: (1)the stage of plastic deformation of the workpiece and (2) the stage of braking the flywheel of the press to a stop. Since the maximum force Pm acting upon the frame may accidentally occur at the end of the second stage of the working stroke when there is no stock in the die. the value Pm is required...

In this paper the working stroke of a screw press is onalyzed, leading to for- mulas for the determination of the maximum stress in its frame. The working stroke is considered to consist of two successive stages: (1)the stage of plastic deformation of the workpiece and (2) the stage of braking the flywheel of the press to a stop. Since the maximum force Pm acting upon the frame may accidentally occur at the end of the second stage of the working stroke when there is no stock in the die. the value Pm is required in the calculation of the frame strength. The strength calculation for the integral closed-type frame of a screw press then proceeds as follows: (1) Drawing the bending moment diagram with the unknown Pm (being in nature a statically indeterminate problem with respect, to the internal bending moment, this may be solved by means of the canonical equations of the force method); (2) Calculating the strain energy stored up in the frame and in the threaded spindle at well as the expended friction work during the whole working stroke, then determining the maximum load Pm; (3) Supplying the bending moment diagram with numerical data in order to find where the maximum stress in the frame exists and check up whether it is within the magnitude of the safe stress of the frame material.

本文首先分析了摩擦压力机工作行程中机架的受力和变形情况,之后将整体式机加简化为一框架,通过求出作用在机架上的最大载荷及其引起的弯矩分布,确定危险截面并核验其上最大应力是否超过允许值。

When we design or manufacture a cam more accurately, the ana-lytical method of calculation is desired. For example, by fabricationa cam the coordinate of pitch curve or centure of cutter must be de-termined; by calculation for strength and wear, the radius of curvatureof the pith curv sould be investigated. This problem has been solvedby different method, wich may be found in some literares. In thispaper the author suggest a way to establisb the systematic fotmulaswith parameters α and β. (α is pressure...

When we design or manufacture a cam more accurately, the ana-lytical method of calculation is desired. For example, by fabricationa cam the coordinate of pitch curve or centure of cutter must be de-termined; by calculation for strength and wear, the radius of curvatureof the pith curv sould be investigated. This problem has been solvedby different method, wich may be found in some literares. In thispaper the author suggest a way to establisb the systematic fotmulaswith parameters α and β. (α is pressure angle, and β is the anglebetween radius R and normal to pith curve). For conveience to calcu-lation, several nomograms are discussed. The construction procedureof a cam is as follows: (a) Select the type of follower motion. (b)According to maximal pressure angle and nomogram 4 or 5 determinethe minimum cam size.(c) Calculate the coordinates of pitch curve byformulas(1)(2)(3)or (8)(9). If the size of roller is different from thecutter, the calculation must be continued with the formulas (6′)(7′).(d) If considering with Strength、wear or radius of roller the, radiusof curvature of the pitch curve must be calculated with formula(13).Because the method of deriving formula of the cam for oscillatingfollower or translating follower is same. so the formula for oscillatingfollower is described in detaill only.

在精确制造或设计凸轮时,都要求用分析法。例如加工时需要知道凸轮轮廓坐标或刀具的中心坐标;强度计算或磨损计算时需要知道凸轮轮廓的曲率半径等。解决这个问题有些文献已经提出一些不同的方法。这里所提出的就是以凸轮压力角α和升角β为参数,推导系统设计公式的方法。为了计算方便还讨论了几根计算图线的设计问题。凸轮的设计步骤如下:(a)选定从动件的运动规律。(b)按最大压力角和图线(4)或(5)决定凸轮最小尺寸。(c)用公式(1)(2)(3)或(8)(9)计算凸轮理论轮廓坐标。如果滚子尺寸和刀具尺寸不同,还需用公式(6′)和(7′)继续计算。(d)如果需要考虑强度磨损或滚子半径用公式(13)计算凸轮轮廓的曲率半径。因为摆动从动件和移动从动件的凸轮在公式推导的方法上是一样的,所以仅对摆动从动件的凸轮公式推导作了详细的叙述。

A general analysis is made of the theory concerning resistance losses in horizontal pipelines for hydraulic transportation. On the basis of experimental data obtained at Fushun, a new formula for calculation of resistance is presented.From analysis of the experimental data, it is found that size of solids which take part in dispersion and friction in water varies as the 1/2 the power of the specific gravity of mixture r/Mix. In regard to additional resistance losses, which are at variance with the law...

A general analysis is made of the theory concerning resistance losses in horizontal pipelines for hydraulic transportation. On the basis of experimental data obtained at Fushun, a new formula for calculation of resistance is presented.From analysis of the experimental data, it is found that size of solids which take part in dispersion and friction in water varies as the 1/2 the power of the specific gravity of mixture r/Mix. In regard to additional resistance losses, which are at variance with the law of clear-water resistance losses, existing empirical formula has also been corrected in accordance with theoretical analysis.Verification of the new formula has been made with actual data of this country and from abroad, and comparson has also been made with other formulas. As a result of the verification,it has been proved that the new formula is more likely to agree with actual conditions and its sphere of application greater than other formulas.A new formula for critical velocity has been derived on the basis of the new resistance formula. In comparison with actual data, this formula has also been found to be more accurate than existing ones.

本文对水力运输中水平管路的阻力损失理论进行了概括性分析,并根据抚顺的试验资料提出了新的阻力计算公式. 依据实验资料的分析,固体在水中参与扩散和摩擦,其大小与混合物比重r_混的1/2次方成比例.对与清水阻力损失规律不同的附加阻力损失,亦根据理论上的分析修正了已有的实验式. 文中引用了国内外有关实际资料对新公式进行了验算.并与其他公式进行了对比.检验的结果证明新公式更附合实际情况,应用范围亦比其他公式广泛. 依据新的阻力公式推导了新的临界流速公式,经与实际资料对比亦比现有各公式精确.

 
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