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准静态解
相关语句
  quasi-static solution
     After the quasi-static solution has been solved, an inhomogenerous equation on dynamic solution is found from the basic equation.
     在求得准静态解后,代入基本方程,得到动态解所需满足的非齐次方程。
短句来源
     The basic solution of the elastodynamic problem is decomposed into a quasi-static solution satisfying the in homogeneous compound boundary conditions and a dynamic solution satisfying the homogeneous compound boundary conditions.
     将球体弹性动力学基本解,分解为一个满足给定非齐次混合边界条件的准静态解和一个仅满足齐次混合边界条件的动态解的叠加.
短句来源
     The solution consists of a quasi-static solution which meets inhomogeneous boundary conditions and a dynamic solution which meets homogenerous boundary conditions.
     它由满足非齐次边界条件的准静态解和满足齐次边界条件的动态解的叠加构成。
短句来源
     The dynamic solution approaches to the corresponding quasi-static solution when the crack moving speed goes to zero,and further approaches to the HR(Hui-Riedel) solution when the hardening coefficient is equal to zero.
     当裂纹扩展速度趋于零时,动态解趋于相应的准静态解; 当硬化系数为零时便退化为HR(Hui_Riedel)解.
短句来源
     At the tip of a growing crack, some unresolved contradictions is existed whether quasi-static or dynamic growth, e.g. the existence of discontinuity of stress or strain at the crack-tip field, the unability of transformation from dynamic solution to quasi-static solution, et al. The reason is the influence on the viscosity of material is ignored.
     在扩展裂纹尖端,无论是准静态扩展还是动态扩展,都存在着一些难以解决的矛盾,如裂纹尖端场存在应力或应变的间断线,动态解不能退化为准静态解等,其原因在于以前的研究中忽略了材料的粘性效应这一影响。
短句来源
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  “准静态解”译为未确定词的双语例句
     The near_tip fields are mainly governed by n and M, and if M→0,the dynamic solution becomes consistent with the quasi_static one.
     裂尖场主要受粘性幂指数n和马赫数M控制 ,当M→ 0时 ,动态解趋于准静态解
短句来源
     The static solution is subjected to Eulerian equation,and the vibration solution is given in the form of a series involving Bessel functions.
     利用分离变量法,贝塞尔(Bessel)方程的解是一个由球贝塞尔函数构成的级数形式解,然后将此解和准静态解叠加,可得弹性动力学问题的解。
短句来源
     The corresponding quasi-static problem is investigated asymptotically, which is shown to be a special case of dynamic one through comparison with it when the crack growing speed approaches zero. Thus the contradiction is resolved that the dynamical solution can not degenerate to a quasi-static one in non-viscosity analyses.
     对相应的准静态问题进行了渐近分析,通过与裂纹扩展速度趋于零时的动态解相比较,表明准静态解是动态解的特例,从而解决了无黏性分析中动态解不能退化为准静态解的矛盾.
短句来源
     The solution is based on the eigen-function expansion, which reduces the general dynamic solution to a quasi-static elastic solution and an elastic solution to free vibration problem.
     该解法是利用特征函数展开法,将动力学的一般解分解为满足非齐次边界条件的准静态解和仅满足齐次边界条件的自由振动解,其中准静态解满足欧拉方程,而自由振动解满足贝塞尔(Bessel)方程。
短句来源
     Based on the axisymmetric plane strain assumption,the solution was divided into a quasi-static part meeting inhomogeneous stress boundary conditions and a dynamic part complying with homogeneous stress boundary conditions. The quasi-static part was determined by homogeneous linearity method and boundary conditions,and the dynamic part was obtained by finite Hankel and Laplace transform.
     在轴对称平面应变条件下,将内筒和钢带层的径向位移分别分解为满足非齐次应力边界条件的准静态解和满足齐次应力边界条件的动态解,准静态解由齐次线性方法和边界条件确定,动态解通过有限Hankel积分变换和La-place积分变换求得.
短句来源
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  相似匹配句对
     THE CONTRADICTIONS IN THE QUASI-STATIC ASYMPTOTIC SOLUTION TO A GROWING CRACK
     扩展裂纹准静态渐近中的矛盾
短句来源
     The Generic Formulae of the Solutions of the Quasi-Static Problem in the Thermoelasticity and Their Application
     热弹性理论准静态问题的一般公式及其应用
短句来源
     b) The solution of the inequality.
     (2)不等式;
短句来源
     The Solution of Collective Equations
     集合方程组的
短句来源
     The Implement of Quasi-Static LCD Drive Circuit
     准静态LCD驱动电路的实现
短句来源
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  quasi-static solution
The basic solution of the elastodynamic problem is decomposed into a quasi-static solution satisfying the inhomogeneous compound boundary conditions and a dynamic solution satisfying the homogeneous compound boundary conditions.
      
The dynamic solution approaches to the corresponding quasi-static solution when the crack moving speed goes to zero, and further approaches to the HR (Hui-Riedel) solution when the hardening coefficient is equal to zero.
      
The quasi-static solution is firstly derived by means of the state-space method, and the dynamic solution is obtained by utilizing the separation of variables method and the orthotropic expansion technique.
      
The solution is composed of a quasi-static solution which satisfies inhomogeneous boundary conditions and a dynamic solution which satisfies homogeneous boundary conditions.
      
After the quasi-static solution has been obtained an inhomogeneous equation for dynamic solution is found from the basic equation.
      
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The paper presents a theoretical solution for the basic equation of axial-ly symmetric problems in elastodynamics. The solution consists of a quasi-static solution which meets inhomogeneous boundary conditions and a dynamic solution which meets homogenerous boundary conditions. After the quasi-static solution has been solved, an inhomogenerous equation on dynamic solution is found from the basic equation. By making use of eigenvalue problem of homogenerous equation, the finite Hankel transform is defind. The...

The paper presents a theoretical solution for the basic equation of axial-ly symmetric problems in elastodynamics. The solution consists of a quasi-static solution which meets inhomogeneous boundary conditions and a dynamic solution which meets homogenerous boundary conditions. After the quasi-static solution has been solved, an inhomogenerous equation on dynamic solution is found from the basic equation. By making use of eigenvalue problem of homogenerous equation, the finite Hankel transform is defind. The dynamic solution which fulfils homogenerous boundary condition is obtained by means of the finite Hankel transform and Laplace transform. Thus, the theoretical solution is gained. Through an example of hollow circular cylinder, it is seen that the solving method, solving process and computing results are simple, useful and accurate.

本文给出了弹性动力学轴对称问题基本方程的一种理论解。它由满足非齐次边界条件的准静态解和满足齐次边界条件的动态解的叠加构成。在求得准静态解后,代入基本方程,得到动态解所需满足的非齐次方程。由相应的齐次方程的特征值问题,定义了有限Hankel变换。通过这种变换及Laplace变换,求得动态解,从而得到了一个完整的理论解。文中通过对一个实例求解,表明该方法求解过程简便,实用,求解结果精确。

This paper presents an analytical method of solving the elastodynamic problem of a solid sphere. The basic solution of the elastodynamic problem is decomposed into a quasi-static solution satisfying the in homogeneous compound boundary conditions and a dynamic solution satisfying the homogeneous compound boundary conditions. By utilizing thi variable transform, the dynamic equation may be transformed into Bassel equation. By defining a finite Hankel transform, we can easily obtain the dynamic solution for the...

This paper presents an analytical method of solving the elastodynamic problem of a solid sphere. The basic solution of the elastodynamic problem is decomposed into a quasi-static solution satisfying the in homogeneous compound boundary conditions and a dynamic solution satisfying the homogeneous compound boundary conditions. By utilizing thi variable transform, the dynamic equation may be transformed into Bassel equation. By defining a finite Hankel transform, we can easily obtain the dynamic solution for the in homogeneous dynamic equation. Thereby, the exact elastodynamic solution for a solid sphere can be obtained. From the results carried out, we have observed that there exists the dynamic stress-focusing phenomenon at the center of a solid sphere Under shock load and it results in very high dynamic stress-peak.

本文提出了一种解析方法求解球体的弹性动力学问题.将球体弹性动力学基本解,分解为一个满足给定非齐次混合边界条件的准静态解和一个仅满足齐次混合边界条件的动态解的叠加.利用变量替换将动态解需满足的动态方程变换为贝塞尔方程,并通过定义一个有限汉克尔变换,就可以容易地求得非齐次动态方程的动态解,从而,得到球体弹性动力学的精确解.从计算结果中可以发现,在冲击外压作用下的球体圆心处具有动应力集中现象,并导致很高的动应力峰值,这对球体的动强度研究有一定的实际意义.

The fields of stress and strain near the extensional line of a mode Ⅲ crack inside a linear elastic-perfectly plastic material are analyzed by perturbation method in the case of steady propagation. The result shows that the dynamic solution is coincident with that of quasi-static growth, when the propagating speed tends to zero. It is also proved that the deformation irrelative to singularity about the propagating speed.

用摄动展开法分析了理想弹塑性材料中定常动态扩展Ⅲ型裂纹前方近裂纹线场区域的应力应变场。证明了动态解与准静态解的一致性以及动态解不存在与速度有关的奇异性。

 
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