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laplace inversion
相关语句
  laplace逆变换
     The general solution in the Laplace transform field is got, and the effective stress in the soils under arbitrary loading can be calculated by the Laplace inversion.
     通过Laplace逆变换,即可计算单层Gibson地基在任意荷载下的一维固结特性。
短句来源
     and then the effective stress and average degree of consolidation in the soil under arbitrary loading could be calculated by the Laplace inversion.
     通过Laplace逆变换,计算了单层黏弹性地基在任意循环荷载下的有效应力及平均固结度。
短句来源
  拉普拉斯
     By means of Duhamel method and Laplace inversion, productivity decline typecurves and its application method was obtained.
     通过拉普拉斯反演及杜哈美原理,得到了垂直裂缝井产量递减典型曲线,提出了典型曲线的应用方法。
短句来源
     By the use of Laplace transform, general expressions for the frequency-domain field of a pulsed loop antenna are obtained. To exert Laplace inversion transformon them results in the time-domain field.
     本文利用拉普拉斯变换,得到了脉冲环天线频域场的一般表达式,并将它们进行拉普拉斯反交换,得到了时域场。
短句来源
     Since any approximations, such as numerical Laplace inversion, backward differentiation formula, nonlinear model of switch, do not exist, the new algorithms are accurate.
     由于该方法不存在任何极限近似问题(数值拉普拉斯反变换法,后向差分法,非线性开关模型法等),因而它是一种精确计算方法。
短句来源
  “laplace inversion”译为未确定词的双语例句
     Based on Timoshenko-Mindlin shear deformation theory and small deflection hypothesis, the creep buckling for viscoelastic laminated plates and cylindrical shells are analyzed. Laplace Transformation is employed to the governing equation to derive the critic loads in the phase space, and extremum theorems of Laplace Inversion Transformation is then used to acquire the instantaneous critic loads and durable critic loads. It is verified that the results of two types of critic loads, obtained by viscoelastic approach and quasi-elastic approach respectively, are identical.
     基于Timoshenko-Mindlin剪切变形理论和小挠度假设,导出粘弹性层合板和层合圆柱壳的压曲方程,并利用Laplace变换,得到相空间的临界荷载,由Laplace逆变换的初、终值定理,获得层合板和层合圆柱壳的瞬时临界荷载与持久临界荷载,由此证明了持久临界荷载的粘弹性解法与准弹性解法的一致性。
短句来源
     The practical computation shows that the method proposed in this paper can be widely applied to solve some types of Laplace inversion.
     实际计算的结果表明了本文所提出的算法能够广泛地用来求解某些类型的拉氏变换求逆问题。
短句来源
     Using the principle of superposition and the Fourier transform technique, the associated elastic solution has been obtained. Using the correspondence principle and Laplace inversion technique numerically, the time dependent crack and craze propagation velocities a (t) and c (t) are determined.
     使用迭加原理和Fourier变换技术,可以求得相关的弹性解,然后应用粘弹性理论的对应性原理和Laplace数值反演法,确定时间相关的裂纹与拟断裂区的扩展速率a(t)和c(t)。
短句来源
     Based upon the Smoothing function theory, a Lanczos factor is intriduced in Laplace inversion formulation, as results, the accuracy and efficiency of Durbin's numerical inversion method is improved a lot.
     根据磨光函数理论,引入了Lanczos因子,改进了Durbin数值反变换方法的计算精度和效率。
短句来源
     The choice of Laplace inversion parameters and the calculation of dynamic SIF are discussed here in special.
     文中讨论了拉氏反演参数的选择和动态应力强度因子的计算方法。
短句来源
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  相似匹配句对
     ALGEBRAIC NUMERICAL INVERSION OF LAPLACE TRANSFORM
     Laplace变换的代数数值反演方法
短句来源
     Study on the Method for Numerical Inversion of Laplace Transforms
     Laplace变换的数值反演算法的研究
短句来源
     p(x)-Laplace Operator
     p(x)—Laplace算子
短句来源
     On Inversion and Emphasis
     谈英语的倒装与强调
短句来源
     The third is inversion;
     第三是数据的解释以及反演。
短句来源
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  laplace inversion
In order to solve the problem, the Laplace transform and the Hankel transform and the Laplace inversion by Cagniard's method as modified byDe Hoop (1959) are applied.
      
Furthermore, the accuracy of the Stehfest numerical Laplace inversion was checked based on the analysis.
      
The dynamic stress intensity factor is extracted from the asymptotic expansion of the stresses around the crack tip in the Laplace transform plane and obtained in the time domain by a numerical Laplace inversion technique.
      
A numerical Laplace inversion technique is used to compute the values of the dynamic stress intensity factor and the dynamic energy release rate for some piezoelectric ceramics, and the results are graphed to display the electroelastic interactions.
      
A numerical Laplace inversion routine is used to recover the time dependence of the solution.
      
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By the use of Laplace transform, general expressions for the frequency-domain field of a pulsed loop antenna are obtained. To exert Laplace inversion transformon them results in the time-domain field. For a pulsed loop antenna excited by a fre-quency-band-limited rectangular voltage pulse, the resulting convolution integrals havebeen numerically evaluted. The result shows that the magnitudes of electric field atremote points in various directions and the fidelity of signal are contradictory. Thatis...

By the use of Laplace transform, general expressions for the frequency-domain field of a pulsed loop antenna are obtained. To exert Laplace inversion transformon them results in the time-domain field. For a pulsed loop antenna excited by a fre-quency-band-limited rectangular voltage pulse, the resulting convolution integrals havebeen numerically evaluted. The result shows that the magnitudes of electric field atremote points in various directions and the fidelity of signal are contradictory. Thatis to say, to demand high fidelity of signal, it would have to lower the radiation eff-iciency.

本文利用拉普拉斯变换,得到了脉冲环天线频域场的一般表达式,并将它们进行拉普拉斯反交换,得到了时域场。文中还针对频带受限的矩形电压脉冲激励的情形,对所得卷积积分进行了数值计算。结果表明,在不同方向上辐射场强的大小与辐射波形的保真度是相互矛盾的。也就是说,要求高的信号保真度,必将导致低的辐射效率。

An exact solution of pressure and displacement of a mine shaft situated in viscoelastic rock is obtained using the correspondence principle of the linear viscoelasticity theory. In cases where irregular forms of shafts or tunnels are involved, the boundary element method can be used to solve the elastic problems. If the viscoelasticity of rock mass and/or shaft lining should be considered, then the numerical method of the Laplace inversion must be incorporated in the elastic solution to give the corresponding...

An exact solution of pressure and displacement of a mine shaft situated in viscoelastic rock is obtained using the correspondence principle of the linear viscoelasticity theory. In cases where irregular forms of shafts or tunnels are involved, the boundary element method can be used to solve the elastic problems. If the viscoelasticity of rock mass and/or shaft lining should be considered, then the numerical method of the Laplace inversion must be incorporated in the elastic solution to give the corresponding viscoelastic solution.Summary. According to the correspondence principle of the viscoelasticity theory, a viscoelastic problem can be solved by using the Laplace transformation. In case where a circular mine shaft with elastic lining is situated under hydrostatic stress in viscoelastic rock mass characterized by Burgers model both in shear and volume deformation, an exact solution of the pressure exerted on mine shaft is obtained with the formwhere p0 is the far-field compressive stress and a,b,β1 and β2 are constants characterizing the viscoelastic aspect of the problem. If the viscoelasticity of rock mass and/or shaft lining is to be considered, then the numerical method of Laplace inversion must be used to "freeze" the time factor , and after solving it elastically , to "thaw" the frozen time and vitalize it. A colocation method of Laplace inversion is used in this article. A set of values of the Laplace transformation parameter s is determined via the lg s versus sf(s) plot on the basis of trial computation. Usually 5 to 7 values of s must be chosen for the purpose of Laplace inversion. Hence a viscoelastic problem requires about 5 to 7 more times of the CPU time than those needed by the corresponding elastic problem. Numerical results are presented and compared with the exact solution of the problem. The agreement is excellent. Fig.1 Stresses in rock mass around a vertical shaft. Fig.2 Uniaxial creep test curve.Fig.3 Viscoelastic models: (1) form deformation, (2) volume deformation.Fig.4 Elastic shaft situated in viscoelastic rock.Fig.5 Inhomogeneous body consisting of two elastic subregions R1 and R2.Fig.6 sf(s) versus lg s.Fig.7 Time-dependent pressure at the interface (r = r2).Fig.8 Time-dependent radial and tangential stresses in the elastic shaftlining (1.0≤r/r1≤2.0) and the viscoelastic rock mass (r/r1≥2.0).Fig.9 Time-dependent radial displacement.

本文利用线性粘弹性的对应原理得出了关于粘弹性岩石中井筒的井壁压力及位移的理论解。对于有不规则形状断面的井筒或巷道,则乃可用对应原理,将解决弹性问题的边界元法或其它任一种数值方法结合Laplace变换的数值方法来求得粘弹性接触问题的效值解。给出一个算例与理论解作了比较,二者结果相符。数值方法并可推广到处理围岩和衬砌两者都具有粘弹性的不均质情况。

In the recent 10 years, a lot of algorithms related to the numerical inversion of Laplace transformation have been propose d.It is well known that when an original function has been expanded into a power series of Laguerre's polynomials, its image function can be eas ily written in the form of power serieswhere a is a positive constant andThe authors introduce the idea of the basic B-Spline functions given on the unit circle and have proved that any differentiable function given on the same unit...

In the recent 10 years, a lot of algorithms related to the numerical inversion of Laplace transformation have been propose d.It is well known that when an original function has been expanded into a power series of Laguerre's polynomials, its image function can be eas ily written in the form of power serieswhere a is a positive constant andThe authors introduce the idea of the basic B-Spline functions given on the unit circle and have proved that any differentiable function given on the same unit circle can be approximated by the linear combinations of the basic B-Spline functions. In this paper a new method of numerical inversion of Laplace tansformation has been proposed, which is based on the computation of the coefficients bjs by using the linear combination mentioned above. The total formulations, the principles for the selection of parameters and some numerical examples are also given herein. The practical computation shows that the method proposed in this paper can be widely applied to solve some types of Laplace inversion.

在最近十年内,提出了不少拉普拉斯变换数值求逆的算法。我们知道当一个原函数展开成拉盖尔多项式时,其象函数容易写成幂级数的形式,这里α是正常数,而。我们引入了定义在单位圆周上的B样条基函数的概念,并证明了定义在同一单位圆周上的任一可微分函数可以通过配点法表示为它们的线性组合。在这篇文章中,提出了一种拉普拉斯变换数值求逆的新方法,这种方法的基本想法就在于利用这一线性组合来计算幂级数的诸系数b_i。在文中给出了全部计算公式及其推导,计算参变量的选取以及若干数值实例。实际计算的结果表明了本文所提出的算法能够广泛地用来求解某些类型的拉氏变换求逆问题。

 
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