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stability
相关语句
  稳定性
    Stability of Stochastic Functional Differential Systems with Markovian Switching and Functional Differential Systems with Impulses
    马尔可夫调制的随机泛函微分系统与脉冲泛函微分系统的稳定性
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    Stability and Brownian Model for Multiclass Queueing Networks
    多类排队网络的稳定性及其布朗模型
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    Extremal Problems and Stability in Geometric Analysis
    几何分析中的极值问题与稳定性研究
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    Stability and Bifurcation in a Ring Neural Network
    环状神经网络模型的稳定性与分岔分析
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    The Stability of Uncertain Dynamical Systems and Applications
    不确定动力系统的稳定性及其应用
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  稳定
    Study on Stability and Control for Dynamical Systems with Time-delays
    时滞动态系统稳定与控制研究
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    Financial Stability Framework Analysis and Model Construction
    金融稳定框架分析和模型构建
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    THERMODYNAMICS OF EQUILIBRIUM AND STABILITY
    热力学中平衡与稳定之理论(英文)
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    Conditions for the Stability of Nonautonomous Differential Equations
    非自治微分方程系的渐近稳定的条件
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    Stability and Vibration of Rectangular Plates with Variable Thickness
    变厚度矩形板的稳定与振动
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  “stability”译为未确定词的双语例句
    STABILITY OF SOLUTIONS OF VOLTERRA EQUATIONS
    VOLTERRA型方程解的穩定性
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    Numerical Calculation of Aerodynamic Force Coefficient and Dynamic Stability Derivatives on Unsteady Supersonic Wing with Sideslip Angles
    非定常超音速侧滑机翼的气动力系数及动导数的数值计算
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    THE STABILITY ESTIMATES OF IMPROPERLY POSED CAUCHY PROBLEMS FOR LINEAR PARTIAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS
    常系数线性偏微分方程不适定Cauchy问题稳定性估计
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    Strong Stability of Trajectories on M_t~2
    M_t~2上的强ω(α)轨道稳定性
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    THE NUMERICAL METHOD OF DISCRIMINATING STABILITY FOR NONLINEAR SYSTEM
    非线性系统判稳的数值方法
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  stability
Stability theorems for Fourier frames and wavelet Riesz bases
      
In this paper we present two applications of a Stability Theorem of Hilbert frames to nonharmonic Fourier series and wavelet Riesz basis.
      
As an application we prove new theorems concerning stability offrames (and frame-like decompositions) under perturbation in both Hilbert spaces and Banach spaces.
      
Stability and independence of the shifts of finitely many refinable functions
      
Typical constructions of wavelets depend on the stability of the shifts of an underlying refinable function.
      
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The dependence of the entropy of a homogeneous system on the composition is investigated with the help of a reversible adiabatic process which allows the change of composition by means of a semipermeable wall. The conditions of equilibrinm for phase transition and for homogeneous chemical reaction are derived in a new way. Next the criterion of minimum energy for constant entropy and volume is derived from the principle of increase of entropy. This criterion is then applied to obtain the conditions of equilibrium...

The dependence of the entropy of a homogeneous system on the composition is investigated with the help of a reversible adiabatic process which allows the change of composition by means of a semipermeable wall. The conditions of equilibrinm for phase transition and for homogeneous chemical reaction are derived in a new way. Next the criterion of minimum energy for constant entropy and volume is derived from the principle of increase of entropy. This criterion is then applied to obtain the conditions of equilibrium and stability with the help of Lagrange's multipliers. The conditions of stability are expressed in several alternative forms. Next the equilibrium properties of a binary system arc considered, and some types of phase diagram are explained by means of equations. The theory is extended to the general heterogeneous equilibrium of a system consisting of any number of independent components. A system of equations for the change of temperature, pressure, and composition are obtained and are solved by means of determinants. Next Planck's theory of a binary solution is extended to a solution consisting of several solnte components, with the same conclusion regarding the lowering of freezing point as for a binary solution. Finally Planck's theory on the number of coexisting phases for aone-component system is extended to a system consisting of k components with the result that a state with, σ coexisting phases is more stable than one with σ-1 phases: where σ is an integer not greater than k + 2.

本文首述如何应用一半渗透之壁使一物体所包含各种分子之数改变,因之决定此物体之熵与其各种分子数之关系,由此关系极易推出一物体在改变其形态时,如汽化凝结等,所应适合之平衡条件。且若形态不变,而发生内部化学作用时,其平衡条件亦易推得。 次述如何由熵之增加原理推出能量最小之法则,然後应用此法则,辅以拉革兰氏之不定乘子,以求得一物体之普遍平衡与稳定之条件。其稳定之条件且以各种不同之形式表示之。 继讨论二元物体在平衡时之性质,随之以多元物体之性质,求得一组方程式以决定当此物体之性质改变时,其温度压力及各种分子之数如何改变。曾特别注意及溶液之性质,对於融点之降低与沸点之升高有一普遍之证明。 最後推广卜朗克氏关於并存形态之理论於多元物体,得与卜氏相似之结论。

Based on a properly chosen buckling form, the stability critercin for a long strip under shear is obtained by the Galerkin method. The calculation of this method is more simple than the existing approximate method suggested by [2]. and the results come nearer to those of the precise method.

应用伽达金方法,根据选定的一种失稳形式得到了长钣条剪切稳定的临界载荷及其波长。这种方法的结果比现在通常已知的近似解更接近精确解,而精确解本身的计算是比较复杂的。

In this paper is presented a simplified two-variable approximate theory, based on the C. Libovc and S. B. Batdorf's theory[6] for elastic orthotropic plates with transverse shear deformations. Assuming that there exists a potential function (x, y) for the traps-verse shear angles rx and ry (see eq. (2.9)), the total potential energy If (eq. (2.8)) can be expressed in terms of two independent unknown functions, the plate deflection w(x, y) and the potential (x, y). By the use of the principle of minimum potential...

In this paper is presented a simplified two-variable approximate theory, based on the C. Libovc and S. B. Batdorf's theory[6] for elastic orthotropic plates with transverse shear deformations. Assuming that there exists a potential function (x, y) for the traps-verse shear angles rx and ry (see eq. (2.9)), the total potential energy If (eq. (2.8)) can be expressed in terms of two independent unknown functions, the plate deflection w(x, y) and the potential (x, y). By the use of the principle of minimum potential energy the Eulcr dcffercntial equations (1.11) for w and and the boundary conditions (1.12)-(1.15) are obtained in Appendix I. The comparision between the results for critical compressive load for a particular case of square simply-supported plate based on the present theory and Robinson's results[8] based on [6] shows that the discrepancy is small, if the anisotropy is not too significant (Table I). It is shown in Appendix H. that for polygonal simply-supported isotropic plates for both the bending and the stability problems the present theory always gives the same results as the theory in [6]. Two kinds of free edges arc distinguished: "entirely free edges" with the boundary conditions as (3.14) and the "stiffened free edges" with the boundary conditions as (3.17). Analysis of examples for orthotropic plates with free edges shows that, in general, cannot be interpreted as the shear deflection.

本文根据C.Libove与S.B.Batdorf关于考虑剪切变形的正交各向异性弹性平板理论建立了一种简化的二变量近似理論。假设横向剪切角r_x与r_y具有势函数φ(见式(2.9),总位能Π(式(2.8))可以通过两个独立函数即板的挠度w(x,y)与势函数φ(x,y)表出。在附录1中利用最小位能原理推出了w与φ的Euler微分方程(1.11)与边界条件(1.12)-(1.15)。計算了四边簡支的方板的一个特例的临界受压載荷,计算結果与Robinson根据文献[6]所作的結果的比較,表明其间的差异很小,如果各向异性的程度不过于显著的話。在附录Ⅱ中证明了,对于直线多边形各向同性簡支板来讲,无論是弯曲或稳定問題,本文結果恆与根据文献[6]的理諭得到的結果一致。区別了两种不同的自由边:“完全自由边”,其边界条件的形式如式(3.14);“加强自由边”,其边界条件形式如式(3.17)。对具有自由边的正交异性板的分析表明,一般說来,φ不能解释为剪切挠度。

 
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