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high order
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  高阶
     Parallel Highorder Dense Matrix Inversion and Applications
     高阶稠密矩阵的并行求逆与应用
短句来源
     The direct integral formula of highorder linear differential equation with constant coefficients is given. It is different from traditional methods and deferential operater method.
     对高阶常系数线性微分方程求解,本文采用了不同于一般教科书上的传统方法,如特征方程法,待定系数法,也不同于算子法,而是给出高阶常系数线性微分方程的直接积分公式。
短句来源
     The full NS equations were solved using BeamWarming approximate factorization method and a highorder compactdifference scheme for the synthetic flow field of adjacent microjet actuators that is compressible, two dimensional, timedependent, as well as viscous.
     采用精度高和稳定性强的隐式高阶紧致差分格式结合Beam Warming近似因式分解法求解全N S方程,对二维、粘性、非定常、可压双微射流作动器合成流场进行数值模拟。
短句来源
     A new method based on resonance demodulation theory and highorder spectrum analysis was presented for identifying roller bearing fault.
     针对滚动轴承故障识别问题,提出基于共振解调理论和高阶谱分析相结合的新方法.
短句来源
     A highorder finite difference scheme for 2D transverse isotropic media is derived in the paper, which can achieve reversetime extrapolation of elastic waves.
     作者在本文中导出了在横向各向同性介质情况下,二维弹性波逆时传播的高阶差分格式,实现了弹性波在数值空间中的逆时延拓。
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  “high  order”译为未确定词的双语例句
     HighOrder Harmonic Emission From a Single Atom inthe Intense Chirped Laser Pulses
     强激光啁啾脉冲中原子的高次谐波辐射
短句来源
     HIGHORDER HARMONICS OF AN ATOM IN MULTICOLOR FIELD
     多色场中原子高次谐波
短句来源
     Highorder harmonic generation by relativistic lasers in aMaxwellian distributed plasma
     相对论激光在Maxwell分布等离子体中产生的高次谐波
短句来源
     Highorder optical harmonic emission from a single atom exposed in the intense chirped laser pulses has been calculated.
     数值计算了强激光啁啾脉冲中原子的谐波辐射。
短句来源
     The ultrashort optical pulse with chirp parameter smaller than the critical value, the repetitive rate of 5 GHz and pulse width of 16.2 ps was experimentally generated. The soliton transmission was achieved after the chirp of the optical pulse was eliminated, and the highorder soliton with pulse width of 13 ps was observed. 
     实验得到了啁啾小于孤子形成临界值,重复频率为5GHz、脉宽为16.2ps的超短光脉冲,并对消啁啾后的超短光脉冲进行了孤子传输实验。
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  相似匹配句对
     SYNTHESIS OF HIGH PURITY BISPHENOLS
     高纯双酚S的合成
短句来源
     Synthesis of “HighOrtho”Novolak Resin
     高邻位热塑性酚醛树脂的合成实践
短句来源
     For the high complexity of G.
     针对G.
短句来源
     Parallel Highorder Dense Matrix Inversion and Applications
     高阶稠密矩阵的并行求逆与应用
短句来源
     With High Speed
     宝马高速腾越
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This is a critical exposition and analysis of the modern developments in the theory of turbulent motion of an incompressible fluid. We begin with the review of the mixture length theories based upon Reynolds' equations of mean motion. Secondly, we analyze the principal contributions to the theory of homogeneous isotropic turbulence. Thirdly, we discuss the treatment of the general turbulent shear flow by means of Reynolds' equations of mean motion and the dynamical equations of velocity correlations which are...

This is a critical exposition and analysis of the modern developments in the theory of turbulent motion of an incompressible fluid. We begin with the review of the mixture length theories based upon Reynolds' equations of mean motion. Secondly, we analyze the principal contributions to the theory of homogeneous isotropic turbulence. Thirdly, we discuss the treatment of the general turbulent shear flow by means of Reynolds' equations of mean motion and the dynamical equations of velocity correlations which are derived from the equations of turbulent velocity fluctuation. We also point out at the same time that although this method yields theoretical results which are in better agreement with experiment than the results of the mixture length theories and furthermore the theory also leads to the theoretical distributions ot the mean squares of velocity fluctuation, on account of the presence of the higher order velocity correlations in the equations, it continuously leads to unclosed systems of differential equations and hence meets difficulties which are difficult to overcome. Therefore, based upon the above retrospect of the developments of the theory of turbulence and the recent work on the vorticity structure of the homogeneous isotropic turbulence in its final period of decay, we finally propose a new approach to the turbulence problem: The basic component motion of turbulence is vortex motion due to the action of viscosity of the fluid. The dynamical equations which govern the vortex motion of turbulence are Reynolds' equations of mean motion and the equations of velocity fluctuation derived from the Navier-Stokes equations by the averaging process. We also emphasize the importance of Reynolds' recognition that the turbulent motion of a fluid can be separated into the mean motion and fluctuation. The future theoretical investigation is to look for the vortex motions which are solutions of these two sets of equations. In order to make the solutions of the problem unique and comparable with experimental measurements, they should also satisfy statistical conditions on the distribution of vortices analogous to Kol-mogoroffs condition in his statistical theory of locally isotropic turbulence at high Reynolds number turbulent flows.

这篇论文的内容是关於不可压缩流体的湍流理论近代发展的综合性介绍舆分析。我们首先评述了根据Reynolds的平均运动方程所建立的混合长度理论。其次,分析关於均匀各向同性湍流的主要理论工作。第三,讨论了运用Reynolds的平均运动方程和根据速度涨落方程求得的速度关联函数的动力学方程来处理具有Reynolds剪应力的普通湍流运动问题。同时说明这个方法虽然能够给出比混合长度理论舆实验较为接近的理论结果并能提出速度涨落平方平均值的理论分布,但是由於在求出的速度关联的动力学方程中出现高次元的速度关联,它继续地导致不封闭的微分方程组因而遇到不易克服的困难。因此,从以上湍流理论发展的回顾和最近关於均匀各向同性湍流在后期衰变运动的涡性结构工作,我们在最后提出了对今后湍流理论研究工作的新看法:湍流运动的基本组成部分是流体粘性作用所引起的涡旋运动;这个涡旋运动的动力学根据是用平均的方法后Navier-Stokes方程所导出的Reyonlds的平均运动方程典带度涨落方程。我们并着重说明Reynolds认识到湍流运动可分作平均运动与涨落运动的重要性。今后的理论工作则在於求这两组动力学方程的涡旋运动解,而这种类型的解并须满足像在高Re...

这篇论文的内容是关於不可压缩流体的湍流理论近代发展的综合性介绍舆分析。我们首先评述了根据Reynolds的平均运动方程所建立的混合长度理论。其次,分析关於均匀各向同性湍流的主要理论工作。第三,讨论了运用Reynolds的平均运动方程和根据速度涨落方程求得的速度关联函数的动力学方程来处理具有Reynolds剪应力的普通湍流运动问题。同时说明这个方法虽然能够给出比混合长度理论舆实验较为接近的理论结果并能提出速度涨落平方平均值的理论分布,但是由於在求出的速度关联的动力学方程中出现高次元的速度关联,它继续地导致不封闭的微分方程组因而遇到不易克服的困难。因此,从以上湍流理论发展的回顾和最近关於均匀各向同性湍流在后期衰变运动的涡性结构工作,我们在最后提出了对今后湍流理论研究工作的新看法:湍流运动的基本组成部分是流体粘性作用所引起的涡旋运动;这个涡旋运动的动力学根据是用平均的方法后Navier-Stokes方程所导出的Reyonlds的平均运动方程典带度涨落方程。我们并着重说明Reynolds认识到湍流运动可分作平均运动与涨落运动的重要性。今后的理论工作则在於求这两组动力学方程的涡旋运动解,而这种类型的解并须满足像在高Reynolds数运动的局部各向同性湍流理论中所提出的统计条件,方能使解满

A second-approximation solution for the pressure distribution between two elastic bodies in contact is presented. In addition to the terms used by Hertz as the description of a general surface of contact, the present theory will contain the next higher-order terms of its Taylor's series expansion, such that the coefficients of the Hertz second power terms as well as the dominant fourth-power term is satisfied. Hence, the second order effect is a correction to Hertz theory which increases both...

A second-approximation solution for the pressure distribution between two elastic bodies in contact is presented. In addition to the terms used by Hertz as the description of a general surface of contact, the present theory will contain the next higher-order terms of its Taylor's series expansion, such that the coefficients of the Hertz second power terms as well as the dominant fourth-power term is satisfied. Hence, the second order effect is a correction to Hertz theory which increases both with the increase of normal load and with the increase of eccentricity of the contact. ellipse. method of change of variables is adopted in the process of integration. The solution, thus obtained, agrees exactly with that obtained by Cattaneo when reduced to his special case of two solids of revolution in contact.To illustrate the usefulness of the present theory, the problem of contact between a ball and the outer race of a ball bearing is studied. Curves are plotted to show that the relative magnitude of the second order effect varies with the shape ratio of the contact ellipse at various normal loads.

本文中提供了關於彈性接觸體間壓力分佈的一個二次近似解。解中的高次量效應是對赫芝理論的一個改進;它的影響隨着外力或接觸椭圓面偏心率的增加而顯得更重要。因此這個解在某些實際應用上如滚珠軸承中滾珠与珠槽間的接觸問題,是较需要的。同時當接觸體均為迴轉體這一特殊情况下、本文解答就同凱泰尼奥之解,完全一致。

Until now,past data are not utilized in numerical weather forecastingowing to the particular formulations of the problem.It is pointed out in thispaper that the condition for solution,formed by whole set of available mete-orological data,is not competible to the general system of weather equations.Thus it is neccessary to study the best way of formulation of the problemusing the available meteorological data as much as possible in the conditionfor solution,in order to obtain the optimum way of forecasting.Two...

Until now,past data are not utilized in numerical weather forecastingowing to the particular formulations of the problem.It is pointed out in thispaper that the condition for solution,formed by whole set of available mete-orological data,is not competible to the general system of weather equations.Thus it is neccessary to study the best way of formulation of the problemusing the available meteorological data as much as possible in the conditionfor solution,in order to obtain the optimum way of forecasting.Two possi-bilities are given.Firstly,it is shown that under certain condition,weatherforecasting may be formulated as an evolution problem,in which the pastdata are utilized.Secondly,past data could also be partly utilized in aninitial value problem in which the system of weather equations,with certainmeteorological variables eliminated,contain higher order time derivatives.Thesignificance of these formulations is discussed.

本文指出在天气数值预报中要解的天气方程组与我们能有的求解条件是不相配称的.因此需要研究如何把方程组化成最合适的形式而最充分地利用可能有的定解条件(特別是最可靠最完全的气象量测的分布)以使预报效果最好.在某些情形下,天气数值预报可以提成“演变”问题,从而可能使用过去的资料.作为某一气象量的初值问题,天气数值预报也可能使用一部分过去资料.而在以前的天气数值预报是并不使用过去天气资料的.本文最后讨论了这样提法的意义.

 
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