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弹性方程
相关语句
  elastic equation
     FRACTURE FORWARD MODELING AND MIGRATION METHOD BASED ON ELASTIC EQUATION AND ACOUSTIC EQUATION
     基于弹性方程与声学方程的裂缝模型正演与偏移
短句来源
     The paper has successfully solvcd non-Newtonian elastohydrodynamic model composed of thegeneralized Reynolds equation (power-law) and three dimensional elastic equation employing Weight-ed Average Method, which can be used to effectively overcome the difficulty in the convergence of e-lastohydrodynamic iteration at high eccentricity rations.
     本文采用加权平均法成功地求解了由广义Reynolds方程(幂次型)和三维弹性方程组成的非牛顿体弹流模型,该方法较好的解决了大偏心率下的弹流迭代收敛困难的问题。
短句来源
  elasticity equation
     A SCHWARZ METHOD FOR SOLVING THE EXTERIOR BOUNDARY VALUE PROBLEM OF PLANE ELASTICITY EQUATION BY USING NATURAL BOUNDARY REDUCTION
     利用自然边界归化求解平面弹性方程外边值问题的SCHWARZ算法
短句来源
     A NON-OVERLAPPING DOMAIN DECOMPOSITION METHOD FOR THE EXTEIOR PROBLEM OF PLANE ELASTICITY EQUATION
     平面弹性方程外问题的非重叠型区域分解算法
短句来源
     Against the unreasonable things in current water hammer equation, the new system of equations of water hammer calculation is obtained associating elasticity equation of conduit and elasticity equation of water by precise deduction using new idea in this paper.
     接着,本文针对当前水击方程中的一些不合理现象,采用全新的思路重新进行了严谨的推导,引入液体弹性方程和管壁弹性方程后得到了更加完善的水击计算的基本方程组,形式如下:
短句来源
     The boundary value problem of elasticity equation is very important in both theoretical field and engineering techniques.
     弹性方程的边值问题,无论是在理论上,还是在工程技术上都是很重要的问题。
短句来源
  “弹性方程”译为未确定词的双语例句
     The Finite Element Method for Solving Elastic Viscous Wave Equations
     用有限元方法解带粘滞项的弹性方程
短句来源
     In this paper, by transforming the isotropy elastodynamic equations into the first-order hyperbolic ones, we have improved the O(2,4) finite difference time domain method with the staggered grid.
     通过将各向同性介质动态弹性方程转化为一阶双曲型波动方程 ,采用交错网格法改进了O(2 ,4 )的时域有限差分算法 .
短句来源
     Absorbing Boundary Conditions for the Elastic Viscous Wave Equations
     带粘滞项的弹性方程的吸收边界问题
短句来源
     The TRLS results display clearly that the phase separation take place according tospinodal decomposition mechanism and the evolution of scattering vector qmcorresponding to epoxy droplets follows Maxwell-type relaxation-3- 复旦大学 高分子科学系英文摘要 博士学位论文equation qm(t) = q0 + A0 exp(?t /τ) . The temperature-dependent relaxation time τwas thus obtained.
     光散射结果发现,随着固化反应的的进行,PEI 改性环氧体系发生SPINODAL 相 分 离 qm 指 数 减 小 可 以 由 MAXWELL 粘 弹 性 方 程qm(t) = q0 + A0 exp(?t /τ)描述,从而得到各体系不同温度下的对应于快动态相从慢动态富集相扩散的松弛时间τ 。
短句来源
     Starting from 3-D elasticity equations of a orthotropic thin elastic body,the 2-D higher order plate equations of mid-plane displacements,including the effects of body and surface forces,are derived systematically by the method of asymptotic expansions in plate interior region with respect to a dimensionless depth parameter ε.
     从正交异性薄弹性体的三维弹性方程出发,应用在板的内部区域展开为无量纲厚度参数ε的渐近级数的方法,系统地推导出由板中面位移表示的二维高阶板方程,包含了体积力和板表面力的作用效应.
短句来源
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  elastic equation
They successed in relating the elastic equation of state to the volume fraction of polymer in swollen networks by three molecular parameters C'1, C'2 and C'3.
      
case, the "non-compact" semigroup corresponds to a simpler problem with uncoupled elastic equation and shear force B.C.
      
A parametrix for the linear elastic equation with diffractive boundary and its application
      
In this paper, we construct parametrices near diffractive points for the boundary value problems for the linear elastic equation with free boundary condition or Dirichlet boundary condition.
      
However, since the linear elastic equation is a second order system, our method is more complicated.
      
更多          
  elasticity equation
Asymptotic Analysis of an Elasticity Equation for a Finger-Like Hydraulic Fracture
      
Finally, a brief discussion on how a symmetry analysis on a perturbation of the elasticity equation can be pursued.
      
For an arbitrary orientation of the fibers, the generalized elasticity equation for composites was found to contain 21 elastic constants and approximate formulas were derived for their determination.
      
This variation is found by solving the one-dimensional heat conduction equation uncoupled from the elasticity equation.
      
In this paper, we discuss a simple iterative-perturbation scheme for solving the elasticity equation in systems with strong elastic inhomogeneity.
      
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Single storied industrial buildings composed of steel trusses and reinforced-concrete columns are very common. As the upper joints are hinged, the stresses in the columns are not influenced by the elastic properties of the trusses; while the upper joints are rigid, methods of analysis are usually based on the assumption that the moment of inertia of a steel truss may be taken as equivalent to that of a beam. In this paper, the author making use of the principle of least work reviews the equations for calculating...

Single storied industrial buildings composed of steel trusses and reinforced-concrete columns are very common. As the upper joints are hinged, the stresses in the columns are not influenced by the elastic properties of the trusses; while the upper joints are rigid, methods of analysis are usually based on the assumption that the moment of inertia of a steel truss may be taken as equivalent to that of a beam. In this paper, the author making use of the principle of least work reviews the equations for calculating the angle-changes at the ends of a truss, and then illustrates their applications with two practical examples: one with flat roof and the other with gabled-roof. They are solved respectively by the method of slopedeflection for the cases of no-sidesway, sidesway-correction and sidesway included by solving the elastic equations of unit deformation. The results are compared with those obtained with usual assumptions.

單層廠房採用鋼架砼柱之混合結構,極為普遍,上端鉸結時柱之應力並不受桁架彈性常數之影響,上端剛結時之分析方法,對於鋼架之截面慣矩每予假定,並代之以假想變梁,本文作者用最小功能定律以求計算桁架兩端角變常數之公式;再取二實例:一平頂屋架,一脊式屋架,用角變位移法分就無側欹、侧欹校正及單位變位彈性方程解三步驟解出共結果,與一般假定方法所得相互比較。

~~

在桥樑和房屋等结构中,不论结构物是由钢或钢筋混凝土所制成,它的构件截面在整个体系之内,特别是在一个跨径之内,每每是变化的。设计这种超静定的结构时,一般是根据经验或类似的参考资料和便利于力学计算的要求,先假定构件截面的函数,作力学计算。按照由此算得的内力作出截面设计之后,重新进行力学计算。必要时在再次修改截面之后,仍须复核一次力学计算。这种反复的计算过程,其繁琐费时是为实际工作中的结构力学工程师所深深感到的。因此各方面曾致力于为变截面构件的计算编制实用的表格和实用的计算公式[1],以减轻计算工作。本文也是为减轻这种计算工作的一种尝试。为了这个目的,我们提出这样的问题:假定某一个超静定的结构物,用便利于力学计算的构件截面函数作了第一次力学计算之后,构件的截面变更了。试问能否在第一次计算的基础上求出截面变更所引起的内力数值的变更?研究的结果可以简要归纳成三点:第一,x点的构件截面的变更对于任一截面的内力z的影响,可以用“截面变更对内力的影响线Ψ_z(x)”来表示,从而可以求出在一定的荷载情况下截面的变更对内力z引起的变更△z。第二,确定了各处的构件截面变更之后,可以求出任一内力z的荷载的影响线η_z的变更△η_z。...

在桥樑和房屋等结构中,不论结构物是由钢或钢筋混凝土所制成,它的构件截面在整个体系之内,特别是在一个跨径之内,每每是变化的。设计这种超静定的结构时,一般是根据经验或类似的参考资料和便利于力学计算的要求,先假定构件截面的函数,作力学计算。按照由此算得的内力作出截面设计之后,重新进行力学计算。必要时在再次修改截面之后,仍须复核一次力学计算。这种反复的计算过程,其繁琐费时是为实际工作中的结构力学工程师所深深感到的。因此各方面曾致力于为变截面构件的计算编制实用的表格和实用的计算公式[1],以减轻计算工作。本文也是为减轻这种计算工作的一种尝试。为了这个目的,我们提出这样的问题:假定某一个超静定的结构物,用便利于力学计算的构件截面函数作了第一次力学计算之后,构件的截面变更了。试问能否在第一次计算的基础上求出截面变更所引起的内力数值的变更?研究的结果可以简要归纳成三点:第一,x点的构件截面的变更对于任一截面的内力z的影响,可以用“截面变更对内力的影响线Ψ_z(x)”来表示,从而可以求出在一定的荷载情况下截面的变更对内力z引起的变更△z。第二,确定了各处的构件截面变更之后,可以求出任一内力z的荷载的影响线η_z的变更△η_z。第三,求△z和△η_z都可以利用第一次力学计算中介弹性方程的系数,不必再编排和求介新的弹性方程,仅仅需要求出截面变更所引起的变形数值的变更△δ,而对它的准确度的要求不需要像对δ那样高,因而它的计算可以简便些。

In this paper we, using the viscoelastic, correspondence principle. consider the energy fracture criteria for a variety of linear viscoelastic solids. This principle arises because of the similarity which exists between the governing viscoelastic equations after Laplace transforms with respect to time and the corresponding untransformed elastic equations. We may therefore use this correspondence to write down immediately the Laplace transforms of the associated viscoelastic expressions. By inverting these transformed...

In this paper we, using the viscoelastic, correspondence principle. consider the energy fracture criteria for a variety of linear viscoelastic solids. This principle arises because of the similarity which exists between the governing viscoelastic equations after Laplace transforms with respect to time and the corresponding untransformed elastic equations. We may therefore use this correspondence to write down immediately the Laplace transforms of the associated viscoelastic expressions. By inverting these transformed equations, we may thus finally obtain formulae describing the energy fracture criteria of Maxwell, standard linear and Burgers solids, respectively.The analysis of this paper investigates the application of the energy balance fracture criteria to linear viscoelastic bodies. It is shown that:(a) The energy release rates of viscoelastic cracked bodies may be divided into two parts. One describes the effect of retarded elasticity, another part describes the effect of viscous flow;(b) Burgers solids, as well as Maxwell solids, exists a critical state. Because of the viscous flow, this state will arrive sooner or late:(c) The crack wilt propagate with high speed as soon as critical state of cracked bodies arrives;(d) In contrast to Maxwell and Burgers bodies, for standard linear cracked bodies, there exist a value of the load below which the critical state will never occur, exceed which then they will attain to the critical state sooner on later.

在本文,我们应用粘弹对应性原理探讨了各种线粘性固体的能量断裂判据。这项原理由于在对时间的Laplace变换后的基本粘弹性方程与相应的未经变换的弹性方程间存在相似性而成立,所以我们可利用这一对应性直接写出相关的粘弹性表示式的Laplace变换。于是,反演这些变换了的方程,我们最终分别得到表述Maxwell固体、标准线性固体和Burgers固体的能量断裂判据公式。本文的分析探讨了能量平衡断裂判据对线粘弹体的应用。它表明: (α) 粘弹性裂纹的能量释放率可分成两部分,一部分反映了延迟弹性效应,另一部分反映了粘性流效应; (b) 和Maxwell固体一样,Burgers固体也存在临界状态。由于粘性流的缘故,这一临界状态迟早要到来; (c) 裂纹体一旦到达临界状态,裂纹就将以高速扩展; (d) 与Maxwell物体和Burgers物体相反,标准线性裂纹体存在这样的一个载荷值,低于它时,永不会产生临界状态;高于它时,迟早会陷于临界状态。

 
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