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    The useaga of in blade pump principle
    液体运动微分方程在叶片泵理论中的应用
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    THE ACCURATE EQUATION OF ELASTIC BEAM ELEMENT WITH RIGID MOVEMENT
    具有刚性运动的弹性梁单元动力学微分方程的精确表达式
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    A new approximate method of solving MLSD model equations is obtained by theoretical analysis of four-bar mechanism with clearance.
    通过用MLSD模型对含间隙四杆机构进行分析 ,提出了一种新的解该模型非线性动力学运动微分方程的近似方法。
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    The general model of a Jeffcott micro-rotor system with rub-impact is established on the basis of the classic impact theory and is analyzed by the modern nonlinear dynamics and bifurcation theories.
    本文以Jeffcott微转子系统为研究对象,建立微转子系统的碰摩力模型和系动微分方程,应用微分方程稳定性和分岔理论,分析微转子碰摩解的稳定性与分岔特性及系统参数对稳定域的影响。
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    ESTABLISH A PRECISION METHOD OF THE KINEMATIC DIFFERNTIAL EQUATION OF MECHANISM
    建立机构运动微分方程的精确方法
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In this paper, according to the torque equation of the drive wheel, the variable ranges of the travel resistance of the vehicle and the dynamic radius of the drive wheel are defind by means of the differential geometry. On the basis of it, a simple approach method for the solutions of two unknown factors——the travel resistance of the vehiclc and the dynamic radius of the drive wheel in the torque equation, is suggested by use of a torque curve obtained from the test~ and the equations for determing them are...

In this paper, according to the torque equation of the drive wheel, the variable ranges of the travel resistance of the vehicle and the dynamic radius of the drive wheel are defind by means of the differential geometry. On the basis of it, a simple approach method for the solutions of two unknown factors——the travel resistance of the vehiclc and the dynamic radius of the drive wheel in the torque equation, is suggested by use of a torque curve obtained from the test~ and the equations for determing them are established.

本文根据驱动轮的扭矩方程式,使用微分几何的方法,确定了车辆行驶阻力和驱动轮动力半径的变化范围。在此基础上,提出了用扭矩曲线求解扭矩方程式中两个未知数——车辆行驶阻力和驱动轮动力半径的简单逼近法,并得出了这两个参数的求解方程式。

All existing graphic as well as other methods of plow bottom surface design are empirical.For a derived approach,the instrinsic relations between the soil properties,tilth requirements,working regimes such as plowing speed and draft,the shape and parameters of the bottom sur-face etc have to be established.In trying to link these design factors together,in this paper,theproper turning of the furrow slice is mathematically described with the motion of an assignedtraverse section of the slice,and that part of...

All existing graphic as well as other methods of plow bottom surface design are empirical.For a derived approach,the instrinsic relations between the soil properties,tilth requirements,working regimes such as plowing speed and draft,the shape and parameters of the bottom sur-face etc have to be established.In trying to link these design factors together,in this paper,theproper turning of the furrow slice is mathematically described with the motion of an assignedtraverse section of the slice,and that part of the spatial surface traced by the bottom side ofthat traverse section,the optinium shape of which is a parabola,is made the working surfaceof the plow bottom,with a mathematical expression in the form of(x,y,z)=f_1(x)y~2+f_2(x)y+f_3(x)z+f_4(x)=0.The tracing locus of a soil particle on the bottom surface is the inter-section of the bottom surface with a cylindrical surface of variable radius(with the soil parti-cle at the end of the radius during slice turning)and is represented in the form of(?)A differential geometrical analysis of the tracing locus of a soil particle on the bottom surfacegives some of the instrinsic relations of the design factors in question,and criteria equationsfor selection of those basic parameters of bottom surface such as the longitudinal length ofthe bottom surface,the plan-view angle of the share,shape and curvature of the bottom sideof the traverse section of the slice during turning erc are derived,curve equations representingthe inspection gauge templet is also derived;and finally,the procedure of the analytic methodin bottom surface design is scheduled.

190年前就已提出,对犁这样一种属于全人类具有长期广泛使用历史的重要工具,其曲面应该能用科学的标志——数学解析法来描述和设计。至今,国内外各种直元线、曲元线和其他设计法联同其参数选择仍然基本上属于经验式,因为都不能将所耕土壤的物理力学特性量、耕后要求达到的土垡状况、耕速阻力等工况与曲面形状曲面参数在设计中有机地联系起来。本文提出一种企图将这些因素联系起来的设计法。犁耕中土垡的运动仍用土垡剖面的翻转来描述。犁体曲面即为曲率在不断变化的土垡剖面底边线在翻转中扫描所成的空间曲面,其解析式为泛函ψ(x,y,z)=f_1(x)y~2+f_2(x)y+f_3(x)z+f_4(x)=0。土垡剖面底边任意点土粒在曲面上的运动迹线为以土垡剖面底边的底点为瞬时轴心,以从轴心至该任意点距离为半径的柱面与曲面的交线,其方程为(?)。通过对土粒在曲面上运动迹线的微分几何分析,建立了不同土壤在不同耕速下土垡合理翻转而阻力最小的几项曲面主要参数的选择判断式。导出了制作曲面时所需的各条样板曲线的方程式。最后规定了整个曲面设计的具体步骤。

This paper deals with the effect of shear deformation arid rotary inertia on the frequencies ef flexural vibration of short turbomachinery blades and rotors. The ditferential equations of motion are derived and tranformed into a set of linear simultaneous algebraic equations by using Taylor's series. Results for short cantilever beams show good agreement with those obtained by other investigators. Finally, the critical speeds of welded disc turbine rotor are found by the conventional trial and error procedure....

This paper deals with the effect of shear deformation arid rotary inertia on the frequencies ef flexural vibration of short turbomachinery blades and rotors. The ditferential equations of motion are derived and tranformed into a set of linear simultaneous algebraic equations by using Taylor's series. Results for short cantilever beams show good agreement with those obtained by other investigators. Finally, the critical speeds of welded disc turbine rotor are found by the conventional trial and error procedure. Any critical speed may be calculated with equal ease. The rotor may have anv number of spans. The shaft journals may be considered to be elastically supported in the bearing. The so-called "gyroscopic effect" may be readily taken into account

本文探讨剪切变形和转动惯量对梁的固有频率影响的目的在于提高涡轮机高压级叶片和低压转子的振动特性理论计算值的精确度。将叶片或转子分成为不同形状截面的微段梁,在微分方程建立过程中考虑剪切变形和转动惯量的影响,应用泰乐级数计算函数近似值得到截面间的递推方程。应用这种方法,计算了悬臂梁和简支梁的固有频率。悬臂梁计算结果与国外其他作者的结果所进行的比较符合非常良好。最后,以焊接转子为计算实例,说明这种方法同样适用于弹性支承变截面多跨梁,还可以考虑陀螺效应的影响。

 
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