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The algebraic polynomial with double sine series solutions can also satisfy the problem of boundary conditions at four comers.

还有代数多项式和双正弦级数解,它能满足4个角的边界条件问题。

This research has studied the validity of vector diffraction field series solution and nonparaxial approximate solution.

本课题研究了矢量衍射场的级数解和非傍轴近似解的有效性。

An asymptotic series solution is constructed by the perturbation technique of deflection type for postbuckling behavior of the plates with four simply supported edges in biaxial compression.

基於Reissner剪切板理论和Karman型板的精化理论,导出了反对称斜交铺层剪切矩形板的广义Karman大挠度方程,并运用位移型摄动技术,构造出双向压缩四边简支矩形板的后屈曲渐近级数解

In this paper, the modified method of multiple scales is applied to study the bending problems for circular thin plate with large deflection under the hinged and simply supported edge conditions.

本文应用修正多重尺度法研究圆板在铰链和简单支承条件下的大挠度弯曲·作出其级数解,分析其边界层效应和证明其渐近性

Reactive moments distributed along the clamped edges of a rectangular plate by means of double sine series.

本文提供以双重三角级数解作用于矩形板的固定边的弯矩,以代替通常所用的叠加法。

The result for an aluminum sphere with gaussian pulse incident wave was compared to the theor y value obtained by inverse Fourier transform from the product of Rayleigh serie s with incident wave in the frequency domain, which shows a good agreement.

计算了高斯形脉冲入射下弹性铝球的无量纲反向散射声压,并和由频域的Rayleigh 简正级数解与入射波的频谱的乘积作反变换得到的精确解做了比较,两者趋势基本一致。

Based on Von Neumann series solution of integral equation, the integrated form of simulation for dynamic reliability system is achieved.

Holm线性积分方程;利用积分方程的Neumann级数解建立了动态系统可靠性仿真的统一描述形式。

Thus the distribution of surface field and near field can be obtained..Numerical results for sphere and prolate spheroid are in excellent agreement with thos...

本文给出的球体及长椭球体的数值计算结果表明,这种方法可获得与本征函数级数解相当吻合的结果,优于OSRC方法的结果,说明这种方法可能成为一种对现有解析或数值方法的有效替代方法。

According to the above-mentioned principle, we can transform the series solution of the boundary value problem of Laplace's equation in the wedge, rectangle and semi-infinite strip, sector region into an exact similarity solution with the source type singularity by similarity method.

本文即根据上述之原理,将楔形区域、矩形区域与半无限长条区域以及扇形区域三大类拉普拉斯方程式边界值问题之无穷级数解,化为具有相同数学结构之源型奇性相似精确解。

Chapter 5 is devoted to studying the Taylor series solutions.

第五章讨论了偏微分代数方程的Taylor级数解

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