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    Based on a high order nonlinear and dispersive wave mode l with dissipative terms, a nonlinear nu merical model is developed.
    首先一个含有耗散项的高阶非线性和频散性波浪理论模型出发 ,建立了适用于任意底坡变化 ,相对水深 h/ L0 ≤ 1的非线性波数学模型。
短句来源
    The state equation of Pieoelectric beam is deduced directly from a piezoelectric physical equation in terms of a plane stress problem.
    按平面应力问题 ,直接压电物理方程出发 ,导出了压电梁的状态方程。
短句来源
    Based on the boundary conditions at the elastic solid-ideal fluid interface and the free surface of fluid layer, the theoretical formulas for determining the refraction and reflection coefficients at the interface are derived in terms of the displacement potentials.
    根据弹性介质与理想流体交界面的边界条件以及理想流体层自由表面的边界条件,基于位移势函数,推导了平面P波弹性半空间入射到与理想流体层的交界面时,确定交界面波的透射与反射系数的理论方程。
短句来源
    In terms of chaos identification, the results ofthe measurement are consistent with the trends predicted by the simulation.
    混沌识别的角度讲,仿真结果与测试结果趋势一致。
短句来源
    In terms of the theories of theprojection and identification for closed-loop system, as the open-loop does,two identification algorithms are presented using the observability matricesand/or the estimated state sequences directly from closed-loop input-outputdata.
    基于闭环子空间投影和辨识理论,仿照开环子空间辨识算法,推导了两种直接输入输出数据应用状态序列和/或观测矩阵获取系统矩阵的闭环辨识算法。
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    Based on the boundary conditions at the elastic solid-ideal fluid interface and the free surface of fluid layer, the theoretical formulas for determining the refraction and reflection coefficients at the interface are derived in terms of the displacement potentials.
    根据弹性介质与理想流体交界面的边界条件以及理想流体层自由表面的边界条件,基于位移势函数,推导了平面P波从弹性半空间入射到与理想流体层的交界面时,确定交界面波的透射与反射系数的理论方程。
短句来源
    Finally, a series of Fredholm integral equations of first kind for determining the unknown forces can be set up through continuity conditions that are expressed in terms of the Green's function, Finally the integral equations can be transformed into a series of algebraic equations based on the direct-discrete method and solved numerically.
    利用Green函数写出界面位移连续条件,建立求解未知外力系的第一类Fredholm积分方程组,采用直接离散的方法将定解积分方程组转化为代数方程组进行求解。 本文的具体工作如下:
短句来源
    Finally, the solution of the problem can be reduced to a series of algebraic equations and solved numerically by truncating the finite terms of infinite algebraic equations.
    最终在区域Ⅰ和区域Ⅱ中的公共边界上完成“契合”,利用位移和应力连续条件建立求解方程组。
短句来源
    It remains to seek the appropriate series of asymptotic analyses for obtaining high order terms of asymptotic solution.
    而且无法以内边界层描述不同区域的交界部分来改善连接条件的不满足。 因此,可压缩理想弹塑性材料裂尖场的高阶渐近解还有待于进一步寻求正确的渐近展开级数。
短句来源
    And finally, the solution of the problem can be reduced to a series of algebraic equations and solved numerically by truncating the finite terms of the infinite algebraic equations.
    该问题的解答,可以应用移动坐标的方法逐个满足各个圆孔上的边界条件,因此,最终又可归结为对一组无穷代数方程组的求解,可利用截断有限项的方法对其进行计算。
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    THE EXPANSIONS OF VISCOUS TERMS IN THE BASIC AERODYNAMIC EQUATIONS IN NON-ORTHOGONAL CURVILINEAR COORDINATE AND METHOD OF THEIR NUMERICAL DIFFERENTIATION
    气动力学基本方程中的粘性在非正交曲线座标系中的展开式及其数值微分方法
短句来源
    The Effects of Quadratic Inertial Coupling Terms on the Response of Structures
    二次非线性惯性耦合对结构响应的影响
短句来源
    Superposition of Normal Finite Element Method On Singular Terms in the Calculation of Dynamic Stress Intensity Factors
    在奇异上叠加有限元法计算动应力强度因子
短句来源
    Effect of Nonsingular Terms on the Maximum Shear Stress Field in Finite Area around Compression-Shear Closed Cracks
    非奇异对压剪闭合裂纹端部有限域内最大剪应力场的影响
短句来源
    On Numerical Computation of Viscous Terms for 3-D Navier-Stokes Equations
    关于三维Navier-Stokes方程的粘性计算
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  术语
    The relationship between these basic terms is analyzed according to the error sources of CFD simulations.
    按照计算流体力学模拟的误差来源分析了这些基本术语之间的关系。

 

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  terms
We express them in terms of generatorsEij ofU(gl(n)) and as differential operators on the space of matrices These expressions are a direct generalization of the classical Capelli identities.
      
In particular, we give a detailed description of these sets in terms of cross-sections inside maximal R-tori ofH.
      
A characterization of the complexity of a homogeneous space of a reductive groupG is given in terms of the mutual position of the tangent Lie algebra of the stabilizer of a generic point of and the (-1)-eigenspace of a Weyl involution of.
      
Indeed, we will give a full classification of the manifoldsN(g, V) which are commutative spaces, using a characterization in terms of multiplicity-free actions.
      
It was then observed independentely by Lusztig and Ginzburg-Vasserot (see [L1], [GV]) that this construction admits an affine analogue in terms of periodic flags of lattices.
      
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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...

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。?

In previous investigations exact yield conditions for axisymmetric shells are given in terms of four generalized stresses, n1, n2, m1, m2, In the present paper, the intensity of membrane stress, n, and the intensity of bending moment, m, are used to give the statical and kinematical yield surfaces for materials that obey the maximum shear stress criterion.The statical yield surface isThe kinematical yield surface isWhen the statical yield surface is multiplied by a factor 1.31, it becomes another kinematical...

In previous investigations exact yield conditions for axisymmetric shells are given in terms of four generalized stresses, n1, n2, m1, m2, In the present paper, the intensity of membrane stress, n, and the intensity of bending moment, m, are used to give the statical and kinematical yield surfaces for materials that obey the maximum shear stress criterion.The statical yield surface isThe kinematical yield surface isWhen the statical yield surface is multiplied by a factor 1.31, it becomes another kinematical yield surface.Applying these surfaces to the cases of the hinge-supported and the built-in spherical caps under uniform radial pressure, we obtain better upper and lower bounds for the collapse load than those given in [4]. It is interesting to note that the collapse load for the spherical cap depends essentially only upon one shell parameter. Upper and lower bounds for the case of movable hinge-supported shallow spherical shell are also given.

文献[1—3]已给出了轴对称旋转壳以四个广义内力n_1,n_2,m_1,m_2表达的精确屈服条件.本文对服从最大切应力准则的壳,给出了以膜力强度和力矩强度表达的静力屈服面n~2+m=1和机动屈服面2(n-1/2)~2十m=1,机动屈服面不超过静力屈服面的1.31倍.本文还应用这两个屈服面计算了受均布法向载荷作用下的简支和固定边球壳的极限载荷,改进了文献[4]给出的上下界.从给果中发现了球壳的极限载荷基本上只与一个壳体参数有关.最后还给出了周边简支可移的扁球壳极限载荷的上下界.

The exact yield conditions for perfectly plastic thin shells are given in terms of the six generalized stresses nx, ny, nxy, mx, my, mxy, which, however, are too complicated to use. This paper introduces two parameters, namely, the intensity of membrane forces n = f (nx ny, nxy) and the intensity of moments m = f (.mx, my, mxy), where f(σx, σy,σxy) = σs is the yield criterion for the shell material. The two parameters n and m are used to give approximate yield surfaces φ(n, m)=1, which are also called...

The exact yield conditions for perfectly plastic thin shells are given in terms of the six generalized stresses nx, ny, nxy, mx, my, mxy, which, however, are too complicated to use. This paper introduces two parameters, namely, the intensity of membrane forces n = f (nx ny, nxy) and the intensity of moments m = f (.mx, my, mxy), where f(σx, σy,σxy) = σs is the yield criterion for the shell material. The two parameters n and m are used to give approximate yield surfaces φ(n, m)=1, which are also called the limited interaction yield surfaces. The best yield surface inscribed to the exact one is n2+m=1, and the circumscribed one is max{n, m} = 1.The paper suggests that the independent interaction yield surfaces max = 1may be used to find the collapse loads of the shells. If n0 and m0 are chosen to satisfy n02+m0=1, one may obtain a fairly good lower bound for the collapse load. If n0=m0=1, one may obtain an upper bound. A simply supported annular plate under combined tension and bending is taken as an example to illustrate the easy use of the approximate yield surfaces. Finally, the application of the independent interaction yield surfaces in solving the shallow shell problems is discussed briefly.

理想塑性薄壳的精确屈服条件是以六个广义内力n_x,n_y,n_(xy),m_x,m_y,m_(xy)来表达的,它们十分复杂,不便应用.本文按壳体材料在平面应力状态的屈服准则,f(σ_x,σ_y,σ(xy))=σ_s下引入膜力强度n=f(n_x,n_y,n_(xy))和力矩强度m=f(m_x,m_y,m(xy))这两个参数,导出了弱作用近似屈服面φ(n,m)=1;给出了精确屈服面的最优内接屈服面为n~2+m=1,外接屈服面之一为max{n,m}=1. 文中建议利用独立作用屈服面max{n/n_o,m/m_o)=1来计算壳体的承载能力;再取n_o~2+m_o=1,就能给出相当好的下限,取n_o=m_o=1,则能给出一个上限;最后并以同时受拉伸和弯曲的简支环板为例,说明了这个屈服面的应用是十分简单的;以均布载荷作用下周界不可移椭圆抛物面扁壳为例,简单讨论了独立作用屈服面在求解非轴对称扁壳问题中的应用.

 
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