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 对偶积分 dual integral(27)
 dual integral
 A Method of Solving a Kind on Dual Integral Equations Via Decoupling Into Canonical Cauchy Singular Integral Equations 一类对偶积分方程组正则化为Cauchy奇异积分方程组解法 短句来源 Orthogonal Polynomial Solving Method of General Singular Dual Integral Equations 一般形式的奇异对偶积分方程组正交多项式求解法 短句来源 A Class of Two-Dimensional Dual Integral Equations and Its Application 一类二维对偶积分方程的解及其应用 短句来源 In this paper,from the definition of Mellin transform we derive it's inversion theorem and solve a dual integral equation by using above result: 本文从梅林变换的定义出发导出其反演定理及基本性质,并用此变换求解对偶积分方程。 短句来源 In the present paper,the dual integral equations with complex exponential function are studied based on solving method of copson. 在断裂力学和热弹性动力学中,常常会出现含复指数函数对偶积分方程的求解,此类方程不能直接用Copson-S ih方法求解。 短句来源
 “对偶积分”译为未确定词的双语例句
 Numberal Solutions of Dual Integeral Equations with Explant Function 含复指数函数对偶积分方程的数值求解 短句来源 Using Abel anti transformation, the equations are further reduced to the second kind of Fredholm canonical integral equations. 应用 Abel反演变换 ,使方程组正则化为 Fredholm第二类积分方程组 ,并由此给出对偶积分方程组的一般性解 . 短句来源 Using Abel anti-transformation,the equations can be reduced to regularized Fredholm integral equations of the second kind. 文中基于Copson-S ih方法,证明了含余弦函数的对偶积分方程可化为第二类Fredholm积分方程进行数值求解。 短句来源 The accuracy of the solution lies in the boundary collocation technique. 把二维对偶积分方程化简成无限代数方程组,此方法的精确度取决于计算点的配置(即所谓边界配置). 短句来源

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 dual integral
 By use of the Fourier transform, the problem can be solved with the help of a pair of dual integral equations, in which the unknown variable was the displacement on the crack surfaces. To solve the dual integral equations, the displacement on the crack surfaces was expanded in a series of Jacobi polynomials. Through the Fourier transform, the problem can be solved with the help of two pairs of dual integral equations, in which the unknown variables were the jumps of the displacements across the crack surfaces. To solve the dual integral equations, the jumps of the displacements across the crack surfaces were expanded in a series of Jacobi polynomials. This problem is reduced by means of Fourier transforms to the standard set of dual integral equations with two variables. 更多
 In this paper, the problem of the plane circular crack in a homogenous and isotropic infinte elastic body under circumferential load at infinity parallel to the plane of the crack is studied within the linearized couple-stress theory by Mindlin and Tiersten. The problem of the crack is reduced to a simultaneus system of dual integral equation by means of the method of integral transforms.This system, in turn,is reduced to a one-dimensional integral equation of Fredholm's second kind that is amenable to a numerical... In this paper, the problem of the plane circular crack in a homogenous and isotropic infinte elastic body under circumferential load at infinity parallel to the plane of the crack is studied within the linearized couple-stress theory by Mindlin and Tiersten. The problem of the crack is reduced to a simultaneus system of dual integral equation by means of the method of integral transforms.This system, in turn,is reduced to a one-dimensional integral equation of Fredholm's second kind that is amenable to a numerical treatment. Stress singularities around the edge of the crack are considered, and the stress intensity factor is calculated. The results obtained show that the order of the stress sigularities is the same as that of the classical stress singularities, but owing to the effect of the couple-stress, the magnitude of the stress factor is lower than the classical theory's and changes with parameters of the material, 1 and η. 本文根据Mindlin&Tiersten的线性偶应力理论研究了含有圆盘状裂纹的无限大体,在无限远处、平行于裂纹的周向剪应力的作用下,应力在裂纹尖端处的奇异性。本文用积分变换的方法将问题的解归结为求解一个对偶积分方程。最后通过解析结合数值分析求得对称应力在裂纹尖端处的应力强度因子。结果表明:由于偶应力的影响,裂纹附近应力集中的程度较之经典弹性理论的结果有所下降,并且与新增加的弹性常数l和η有关。 For a strip wall erected on a rigid strip foundation and supported on the surface of the ground, the dynamic soil-structure interaction under the action of the horizontal ground motion is investigated. The ground motion is idealized as vertically propagating, horizontal steady-state motion. Because the horizontal ground motion brings about the sliding vibration of the foundation as well as the rocking vibration, the coupled rocking and sliding vibration of the soil-structure system is considered in the present... For a strip wall erected on a rigid strip foundation and supported on the surface of the ground, the dynamic soil-structure interaction under the action of the horizontal ground motion is investigated. The ground motion is idealized as vertically propagating, horizontal steady-state motion. Because the horizontal ground motion brings about the sliding vibration of the foundation as well as the rocking vibration, the coupled rocking and sliding vibration of the soil-structure system is considered in the present paper. For the contact between the ground and foundation, the following assumptions are made:1)the contact is assumed to be welded, that is to say, the motion of the foundation is consistent with the ground; 2) the horizontal translation at each point on the bottom surface of the foundation is equal to a constant; 3) the distribution of the normal displacements under the foundation remains to be linear in the rocking vibration. For comparison, the case of uncoupled vibration is considered also. The use of Fourier transform method yields dual integral equations (for the case without coupled effect) or simultaneous dual integral equations (for the case with coupled effect)). Both of them are solved by means of infinite series of orthogonal functions, the Jacobi polynomials. The numerical results show that there is significant difference between the displacements of the foundation, the relative disp acements of the top of the wall with respect to its base, and the distribution of contact stresses beneath the foundation, for the cases with and without coupled effect. 本文研究了在水平地面运动情况下,墙——刚性条形基础——地基系统的动力相互作用问题.文中考虑了土——结构物系统摆动和移动的耦联振动.对于地基与基础间的接触,作了如下一些假定:1)接触是焊固的,即基础的运动与地面运动相一致;2)基础底面上各点的水平位移是一常数;3)在摆动中,基础垂直位移的分布保持为一直线.为了比较起见,同样研究了非耦联情形.利用富里叶变换,问题归结为对偶积分方程(对于无耦联情形)和对偶积分方程组(对于耦联情形).借助于雅可比多项式的无限级数对此二种方程进行求解.数值结果表明,对于存在和不存在耦联影响,基础位移、墙顶对其底部的相对位移、基础底面的接触应力分布等等之间,存在着相当大的差异. This study gives the computation of some typical dynamic stress intensity factors of mode I, II and III for two or three dimensional cracks under transient loading, making use of integral transforms and dual integral epuations. 本文用积分变换与对偶积分方程的方法,计算了几类典型瞬态载荷作用下的二维与三维裂纹的Ⅰ、Ⅱ、Ⅲ型动态应力强度因子。 << 更多相关文摘
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