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    RELATIVE MOTION DYNAMICS OF VARIABLE MASS NON HOLONOMIC MECHANICAL SYSTEMS
    变质量完整力学系统的相对运动动力学
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    THE NOETHER THEOREM OF CONSTRAINTS SYSTEMS OF THE NON CHETAEV TYPE
    Чегасв型约束系统的Noether定理
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    Analysis of Strength Factor for Non steady Creeping Crack Tip Field
    稳态蠕变二维裂纹尖端场强近似分析
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    A NEW NON CONTACT METHOD FOR MEASURING ELASTIC CONSTANTS OF MATERIALS
    一种接触式测定材料弹性常数的新方法
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    Time Domain Modal Analysis for Non stationary Random Response of Non linear System
    线性系统平稳随机响应的时域模态分析法
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    In this way, 3 D unsteady subsonic and transonic flows for non lifting rotors are calculated with fewer grids, and the numerical results are in good agreement with the experimental data.
    应用较少的网格点数成功地计算了升力情况下旋翼的三维非定常亚、跨音速绕流流场,得到了与实验结果符合良好的数值解
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    A method of locating the non scale region is presented for a complex vibration waveform. In the non scale region, the waveform can be regarded as fractal, and its box dimension can be found out through the formulas given in the paper.
    首先给出了寻找振动波形的标度区的方法.波形在标度区内可视为规分形,利用文中的公式可以求得波形的盒维数.振动测试的试验表明,波形确实存在标度区;
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    The AUMS scheme in the form of arbitrary curvilinear coordinates is given first and then is put in conjunction with the MUSCL scheme which has third order accuracy. And then, using the implicit time marching method LU SGS, the numerical simulation of non viscous transonic and supersonic flows within the cascade with typical double circular arc blades. The calculation results presented in this paper show that they coincide well with the results published in the literature.
    给出了AUSM 格式在任意曲线坐标下的形式,将AUSM 格式和三阶精度MUSCL格式融合,并结合LU-SGS隐式时间推进法,对典型双圆弧叶栅粘跨音速和超音速流动进行了数值模拟.本文计算结果与文献计算结果相符
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    A numerical algorithm to simulate the hypersonic inviscid Flow fields of chemical non equilibrium is presented in this paper .
    本文给出了求解高超声速化学非平衡粘流场的数值模拟方法。
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    Also ,the development of the algorithm of low pressure leeward flowfields extends the application of Euler equations and leads to obtain the angle of attack of non equilibrium inviscid flowfields up to 30 degree .
    此外,还发展了背风过低压区的处理方法,从而提高了欧拉方程的应用范围,使粘非平衡绕流的计算攻角达到30°
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  非线性
    The non1inear quasi-conforming FEM and the hybrid /mixed FEMⅠ.On the hellinger-reissner variational principle
    非线性拟协调元与杂交/混合元:Ⅰ.关于Hellinger-Reissner变分原理
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    Time Domain Modal Analysis for Non stationary Random Response of Non linear System
    非线性系统非平稳随机响应的时域模态分析法
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    CHAOTIC ZONE IN NON LINEAR THERMOELASTIC COUPLING CIRCULAR PLATES
    非线性热弹耦合圆板中的混沌带现象
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    NUMERICAL STUDY OF THE TURBULENT FLOW IN THE PLANE CASCADE USING A NON LINEAR k ε MODEL
    非线性 k-ε 紊流模型在平面叶栅紊流计算中的应用
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    Stability of Systems With Partial Non linear States
    含部分非线性状态系统稳定性
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    Refined non\|conforming element of thin plate stability analysis
    薄板稳定性分析中的一个精化协调元
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    Deduction of Theorem of Parallel Axis When Turning Axis Non vertical to Plate
    转轴与平板垂直时平行轴定理的推导
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    The discontinuous Galerkin (DG) method allows more general meshes construction and degree of non uniformity than permitted by the more convectional finite element method, it is easy to construct higher order element to obtain higher order accuracy and to derive highly parallel algorithms .
    间断Galerkin方法(DG)对网格的正则性高求高,需要考虑一般有限元方法中连续性的限制条件,并且能构造高阶元获得高阶精度,推出高阶并行算法,故而被广泛地应用。
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    This method possesses the desirable properties of high accuracy,inherent numerical stability(no wiggles),non numerical damping and algorithm simplicity.
    方法具有高阶精度,呈现数值振荡,带有可感受的数值衰减,计算过程稳定,计算方法简便等优点。
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    The results show that when the thickness is not very small, non axisymmetric critical buckling load is higher than axisymmetric one;
    数值结果表明:当壳壁厚很薄时,轴对称屈曲临界载荷比非轴对称临界载荷高;
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The method applies to the standard arithmetic subgroups ofSO(n,1) (a case which was proved previously by Millson [Mi]), to the non-arithmetic lattices inSO(n,1) constructed by Gromov and Piatetski-Shapiro [GPS] and to groups generated by reflections.
      
We also show how to distinguish examples of open subsets with a good quotient coming from Mumford's theory and give examples of open subsets with non-quasi-projective quotients.
      
An algebraicG-varietyX is called "wonderful", if the following conditions are satisfied:X is (connected) smooth and complete;X containsr irreducible smoothG-invariant divisors having a non void transversal intersection;G has 2r orbits inX.
      
Lichtenstein in the caseu =(n, ?) or(n?), we prove that ?(q).ζ1/2 is non zero for all harmonic polynomialsq ∈S() \ {0}.
      
In [Ka1] its geometric counterpart was applied to construct contractible smooth affine varieties non-isomorphic to Euclidean spaces.
      
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In dealing with the problem of sand particles moving relative to the surrounding water, Stokes' formula of resistance has usually been used to render the velocity of sedimentation of the particles. But such an approach has not been proved rigorously, and its accuracy must be carefully examined. In the previous paper, we gave the resistance acting on a sphere moving in a non-uniform flow field. In this paper, we assume the concentration of sand particles to be very small, and using the previously obtained...

In dealing with the problem of sand particles moving relative to the surrounding water, Stokes' formula of resistance has usually been used to render the velocity of sedimentation of the particles. But such an approach has not been proved rigorously, and its accuracy must be carefully examined. In the previous paper, we gave the resistance acting on a sphere moving in a non-uniform flow field. In this paper, we assume the concentration of sand particles to be very small, and using the previously obtained formula for the resistance, we establish the general equations of motion of laminar flow of sand particles and water. Then, we discuss the sedimentation motion of sand particles for laminar flow in an open channel.Finally, we find that the component of relative velocity parallel to the main stream is not equal to zero. Thereby, we obtain the error in the position of sedimentation as calculated by means of the usual simplified assumption. This error in position is proportional to the depth of water, and is independent of the size of sand particles. In general, it is not a negligible quantity.

在前文中我们已经给出小球在不均匀流场中运动时所受到的阻力。本文中我们假定泥沙和水为两种不同的介质,同时假定泥沙的浓度很小。利用前文所得到的阻力公式,我们建立了在层流状态时泥沙和水各自的运动方程组。然后利用这一组方程来讨论明渠中水流流态为层流时泥沙沉淀的情况。最后我们得到泥沙和水的相对速度在主流方向的分量并不等于零。同时我们求得根据简单假定来计算时所引起的沉积位置的误差。这个误差和水深成正比而和泥沙颗粒的大小无关。一般说来,这个误差并不是一个可以忽略的数值。

Due to the gradual energy decay the free turbulent shear flow far downstream resembles the final stage motion of homogeneous isotropic turbulence. As in the latter case we adopt the concept of vortex motion structure of turbulence to solve the present problem. The dynamical basis of vortex motion solution is the set of equations of turbulent velocity fluctuation. In the flow field of the final stage motion of free turbulence the Reynolds number of turbulence is comparatively small, hence the non-linear...

Due to the gradual energy decay the free turbulent shear flow far downstream resembles the final stage motion of homogeneous isotropic turbulence. As in the latter case we adopt the concept of vortex motion structure of turbulence to solve the present problem. The dynamical basis of vortex motion solution is the set of equations of turbulent velocity fluctuation. In the flow field of the final stage motion of free turbulence the Reynolds number of turbulence is comparatively small, hence the non-linear terms in the dynamical equations can be neglected. Furthermore the size of vortices which form the turblent flow is regarded small, so within the range of each vortex the mean turbulent velocity and its gradient can be considered to be independent of the changes of the space coordinates. We now seek the following approximate solution of the linearized equations of turbulent velocity fluctuation; one part of the turbulent velocity fluctuation represents the final stage motion of homogeneous isotropic turbulence, while the other is proportional to the gradient of mean velocity, the latter part being smaller than the former. From this approximate solution the shearing component of the Reynolds stress is found to be directly proportional to the gradient of mean velocity. As a special example of the general solution we consider the case of the two-dimensional wake. Within the wake we put, furthermore, a plane grid normal to the plane of symmetry of the wake. This grid then creates in its downward stream a homogeneous isotropic turbulence field superimposed upon that of the wake. Our solution is applicable to places far downstream both from the body which creates the wake and from the grid. Since the flow here is nearer to the grid, so the turbulence level of the homogeneous isotropic turbulence would be higher than that of the wake. Consequently the conditions of the general solution can be satisfied. The present paper presents the solutions of the mean velocity and the mean squares of turbulent velocity fluctuation of the wake. These theoretical results can all be tested by experiment. On account of that we only discuss the final stage motion of free turbulence, the question how to lay down the upstream boundary condition of the flow field when solving the differential equations of the mean flow needs further consideration by other methods.

具有剪应力的自由湍流到下游相当远的地点由于能量的逐渐耗损将衰变成为类似均匀各向同性湍流的后期运动。如同处理后一种流动问题一样,我们现在根据湍流是由涡旋所组成的概念来求自由湍流的后期运动解。求涡旋运动解的动力学的基础是湍流速度涨落方程。在后期湍流场中湍流Reynolds数比较小,故方程中的非线性项可以略去。再考虑到组成湍流的涡旋尺寸比较小,在每个涡旋范围内平均湍流速度和它的坐标梯度可以近似地认为和坐标的改变无关。我们求线性化了之后的湍流速度涨落方程如下的近似解:涨落速度的一部分代表均匀各向同性湍流的后期运动:另一部分是和平均流速的坐标梯度成正比,后一部分要比前一部分为小。从这样的近似解得出的Reynolds剪应力是和平均流速的坐标梯度成正此。当作这一般解的特例我们求一个二元尾流的后期运动。在产生尾流的物体的后面还置放一个平面与尾流对称平面成垂直的栅格。这个栅格在它的下游可产生一个迭加在物体所产生的尾流场上的均匀各向同性的湍流(?)。我们的解是适用在离物体和栅格相当远处的后期运动,但此处的流场距栅格较近,所以栅格所产生的均匀各向同性湍流要比尾流的湍流度为高,因此一般解的近似条件是可以满足的。本论文给出尾流平均流速...

具有剪应力的自由湍流到下游相当远的地点由于能量的逐渐耗损将衰变成为类似均匀各向同性湍流的后期运动。如同处理后一种流动问题一样,我们现在根据湍流是由涡旋所组成的概念来求自由湍流的后期运动解。求涡旋运动解的动力学的基础是湍流速度涨落方程。在后期湍流场中湍流Reynolds数比较小,故方程中的非线性项可以略去。再考虑到组成湍流的涡旋尺寸比较小,在每个涡旋范围内平均湍流速度和它的坐标梯度可以近似地认为和坐标的改变无关。我们求线性化了之后的湍流速度涨落方程如下的近似解:涨落速度的一部分代表均匀各向同性湍流的后期运动:另一部分是和平均流速的坐标梯度成正比,后一部分要比前一部分为小。从这样的近似解得出的Reynolds剪应力是和平均流速的坐标梯度成正此。当作这一般解的特例我们求一个二元尾流的后期运动。在产生尾流的物体的后面还置放一个平面与尾流对称平面成垂直的栅格。这个栅格在它的下游可产生一个迭加在物体所产生的尾流场上的均匀各向同性的湍流(?)。我们的解是适用在离物体和栅格相当远处的后期运动,但此处的流场距栅格较近,所以栅格所产生的均匀各向同性湍流要比尾流的湍流度为高,因此一般解的近似条件是可以满足的。本论文给出尾流平均流速和速度涨落平方平均值的解。?

The paper presents the equation of the stress function for the two dimensional problems of the non-homogeneous isotropic medium, For the plane strain, For the plane stress, the temperature term changes to and The paper then leads to the problem of two mediums. It treats the case with the sudden change of modulus on the interboundary between two regions with different moduli. The stress function for the two sides of the interboundary, should keep and equal, and besides, and The equations of stress function...

The paper presents the equation of the stress function for the two dimensional problems of the non-homogeneous isotropic medium, For the plane strain, For the plane stress, the temperature term changes to and The paper then leads to the problem of two mediums. It treats the case with the sudden change of modulus on the interboundary between two regions with different moduli. The stress function for the two sides of the interboundary, should keep and equal, and besides, and The equations of stress function established together with the interboundary conditions, are the bases for solving problems with non-homogeneous isotropic mediums. The paper also auggests an alternative interboundary equation which satisfies the main jointing condition between two mediums. The stress function can also be applied to the mixed boundary condition problems. On those parts of the boundary, with known displacements, the boundary conditions for stress function can be expressed by: and Together with and being known in the loaded part of the boundary, thus the general boundary conditions for stress function in the mixed boundary condition problems are established. In this paper the author uses the gravity-dams as working example. The gravity-dam with different moduli for dam and foundation is taken as the first example. In another example the foundation is considered as absolutely rigid. The later gives rise of the mixed boundary condition problem. The calculation is done by method of finite fifference using relaxational technique. New relaxational patterns have been set up. The numerical calculations are worked out for the second example. foe results are checked by model grid-tests. The agreement between the calculated and tested rested results shows that the method is applicable to such kind of problem.

本文建立了非均匀介质弹性力学平面问题的应力方程式: 平面应力情况下:平面应力情况下温度项改为 当两个区域的弹性模量有突变时,交界张s的两侧的应力函数除应将及相等外, 并且要求: 根据这些方程式及交界条件建立了应用应力函数解非均匀介质的基楚。同时提出了一个保证 主要连接条件和变形协调的近似方程式。 本文所提的应力函数表达式可以应用到混合边界的平向题题上,在位移给定的条件下的一般 应力函数边界条件为: 及 因而建立了用应力函数解混合边界问题的条件。 本文以重力壩为例进行了具体计算,壩基为绝对刚性。这也是一个有一部分边界位移为零的 混合边界问题,计算使用差分方程及松弛法,为此建立了新的计算样板和松弛样板,计算的结果 和使用网格法试验的结果进行了比较。

 
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