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separation variable
相关语句
  分离变量
     This paper introduces methods of deducing the solution of  2yx 2=a 2 2yt 2 by using separation variable method.
     介绍了应用分离变量法推导求解 2 yx2 =a2 2 yt2 的方法
短句来源
     and the acidizing fluid is incompressible. On the basis of the percolation differential equation,the formulas of calculating acidizing pressure and flowing velocity fields under the anisotropic condition of formation permeabilities of horizontal well were derived by use of these mathematic methods as the transform of intermediate variable and the separation variable,etc.
     根据所建立的渗流微分方程 ,通过中间变量的变换、分离变量等数学手段 ,导出了水平井在渗透率各向异性情况下的压力场与流速场的计算公式。
短句来源
     This paper introduces differentiating operator of construction, response analysis is implemented by mode superposition method. Comparing with ordinary separation variable method, this method has definite conception and a few steps in calcnlation.
     引入结构微分算子,采用模态叠加法进行反应分析,与普通的分离变量法相比较,此方法概念明确、步骤简单。
短句来源
  分离变
     A Separation Variable Method
     分离变量法
短句来源
     The general electromagnetic fields of the transverse magnetic mode(TM) in a sectoral waveguide are derived from the wave equation and the appropriate boundary conditions on the walls by using the separation variable method. The cutoff wave numbers of the TM modes in a waveguide with the various subtended angles and the ratio between the outer and inner radii are computed and tabulated. then the cutoff wavelength expressions, exact and approximately formulas are given.
     根据波动方程和边界条件,利用分离变量法导出扇面波导中TM模场分量通用表达式,计算了具有不同的张角和内、外半径比的扇面波导中TM模的截止波数,并列出数表,给出截止波长的精确的和近似的表达式.
短句来源
     When separation variable method is used to solve the fixed solution problem of mathematical equation, the boundary condition of its first, second and third type must be homogeneous.
     用分离变量法求解数理方程定解问题时,要求其第一、二、三类边界条件必须是齐次的。
短句来源
     Analytic solution of transient flow in gas transmission pipeline are obtained by separation variable method, and distribution function of pressure and flow in gas transmission pipeline are defined.
     用分离变量法求出了燃气长输管道不稳定流的解析解,得出了长输管线压力、流量的分布函数。
短句来源
     In general,there are infinite analytical solutions meeting certain mathematical physical model on the basis of Cai Ruixian et al[2] and putting forth a new deformation addition separation variable method with the derivable function for this model.
     方法根据蔡睿贤的研究结果,满足某个数学物理模型的一般意义的解析解有无限多,针对该模型的表达式,提出使用一种新型含有可导函数的变形加法分离变量法.
短句来源
  “separation variable”译为未确定词的双语例句
     The Metering Device of Two-phase Separation Variable Pressure Controlling in Producting Well
     油井两相分离变压控制计量装置
短句来源
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  separation variable
The separation variable relies on information about the entire distribution.
      


A new stress function G and displacement function Q are presented for the plane problems ofcylindrical anisotropic elasticity. The fundamental equations of the plane problems of cylindrical elas-ticity are adapted so that the new linear partial differential operators with constant coefficient becomean exchangeable ring for multiplication and addition. Thus the fundamental equations can be rewrittenas this form : AX= 0 where A is an operator matrix and X is the vector consists of stress and displace-ment component....

A new stress function G and displacement function Q are presented for the plane problems ofcylindrical anisotropic elasticity. The fundamental equations of the plane problems of cylindrical elas-ticity are adapted so that the new linear partial differential operators with constant coefficient becomean exchangeable ring for multiplication and addition. Thus the fundamental equations can be rewrittenas this form : AX= 0 where A is an operator matrix and X is the vector consists of stress and displace-ment component. Then , based on the theory of linear algebra,the displacement function Q can be ob-tained which satisfies a governing equation of a four order partial differential equation. At the sametime, after adequately conforming the equilibrium equation, we obtain the new stress function G,which satisfies the same governing equation as the one of the displacement function Q. The governingequation is simplier than the governing equation of the stress function F in the reference [1]. Thus,the particular solution to this sovernins equation is easier to get and P is equivalent to rG.After thoroughly study of the governing equation , we obtain a series of particular solutions ofboth separation variable and non-separable variable. By taking these particular solutions into applica-tion, we sucessfully resolve several classic problems including an infinite plane under a concentratedforce, a wedge under a concentrated force , an orthotropic curved bar under a load of sine or cosinedistribution. Both the displacement and stress components of these classic problems are presented here. In this article . the displacement function Q can be used to solve the problems of mixed boundaryvalues (both loads and constraints). In the previous papor[3-6] the displacement function of theplane problems of rectilinearity anisotropic elasticity has been presented , but, there is no direct appli-cation of ttiat function.

本文对圆柱型各向异性弹性力学平面问题的基本方程进行了改写。在此基础上,导出了应力函数G和位移函数,它们满足相同的控制方程,比文[1]的应力函数F的控制方程要简单,便于求得特解,并有F=rG的关系。还对若干经典问题进行了求解。

The general electromagnetic fields of the transverse magnetic mode(TM) in a sectoral waveguide are derived from the wave equation and the appropriate boundary conditions on the walls by using the separation variable method. The cutoff wave numbers of the TM modes in a waveguide with the various subtended angles and the ratio between the outer and inner radii are computed and tabulated. then the cutoff wavelength expressions, exact and approximately formulas are given.

根据波动方程和边界条件,利用分离变量法导出扇面波导中TM模场分量通用表达式,计算了具有不同的张角和内、外半径比的扇面波导中TM模的截止波数,并列出数表,给出截止波长的精确的和近似的表达式.

This paper has given an exact solution to partial differential equations of linear double-curved shallow shells using the method of separation variable and the principle of superposition under the conditions of the simple supports to all the four boundaries with general loads. This paper has given an exact solution to partial differential equations of linear double-curved shallow shells using the method of separation variable and the principle of superposition under the conditions of the simple...

This paper has given an exact solution to partial differential equations of linear double-curved shallow shells using the method of separation variable and the principle of superposition under the conditions of the simple supports to all the four boundaries with general loads. This paper has given an exact solution to partial differential equations of linear double-curved shallow shells using the method of separation variable and the principle of superposition under the conditions of the simple supports to all the four boundaries with general loads.

用分离变量法及叠加原理,给出了线性双曲扁壳体方程组,得到在四边简支,承受一般载荷的条件下的准确解

 
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