English translation for "series solution"
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- 分解成级数求解
级数解
Related Translations:
- Example Sentences:
| 1. | The differentiator series solution to euler equation
欧拉方程的微分算子级数解法 | | 2. | The radius of convergence of power series solution to linear differential equations
关于幂级数收敛半径的一个注记 | | 3. | Asymptotic series solution of the characteristic equation of corrugated circular waveguide
波纹圆波导特征值的渐近解 | | 4. | Series solution of electric field intensity on perpendicular axis of elliptic charged ring
椭圆形带电环垂直轴上的电场强度级数解 | | 5. | The series solution for boundary value problem of nonhomogeneous harmonic equation with variable coefficient is obtained
使变系数非齐次调和方程边值问题的求解有了新的进展。 | | 6. | Ordinary differential equation , first order differential equations , 2nd order differential equations , power series solution of differential equation , laplace transform , fourier series and transform , matrix , eigen value problem , partial differential equation
常微分方程式、一阶微分方程式、二阶微分方程式、微分方程式级数解、拉氏转换、复利叶级数与转换、矩阵、本徵值问题、偏微分程式。 | | 7. | Using the complex potential method in the plane theory of elasticity of an anisotropic body , a series solution to the stress field of a finite plate containing multiple cracks subjected to arbitrary loads is obtained by means of the faber series expansion , and the stress intensity factors at the crack tips are calculated based on the theories of fracture mechanics . equivalence yield stress is introduced in order to consider the effects of the plastic zones , with which the strip yield criteria is developed in the article so that the effects of structural size and the crack interactions on the stress distribution can be considered accurately . the effects of plate size , crack size and crack distributions on the stress intensity factors as well as the residual strength of the plate are studied detailedly
采用各向异性体平面弹性理论中的复势方法，以faber级数为工具，得到了含多裂纹有限大板在任意载荷作用下应力场的级数解，并应用断裂力学方法确定裂纹尖端的应力强度因子；引入当量屈服应力考虑裂尖塑性区的影响，提出基于带屈服准则的剩余强度分析模型，能够充分考虑结构尺寸和裂纹之间相互作用对应力场的影响；通过数值计算详细讨论了结构尺寸和裂纹之间位置关系对应力强度因子和结构剩余强度的影响规律，得到了一系列对工程应用具有实用价值的结论。 | | 8. | The article gives the results of rectangular moderate - thick plates under various length - width ratios and various thickness - width ratios and the results are compared with corresponding series solution about thin plates . at last the article gives a rough limitation between thin and thick plates according to the absolute values of their relative er -
本文最后计算了弹性地基上不同长宽比的中厚板在不同的厚宽比情况下的中点挠度值,并与薄板理论的级数精确解答进行比较,根据其相对的误差绝对值,对弹性地基上薄板和中厚板尝试进行了大致的界定。 | | 9. | This paper suggests that the integral of the state equation is evaluated directly through the exponential matrix based on the pim , thus several series solutions are obtained . utilizing the symmetry of matrices and the idea of substructure , the computational precision and efficiency of the pim are improved
本文深入研究精细积分及动力方程算法，基于指数矩阵计算、 pade逼近理论，在时域上对非线性动力状态方程直接积分求解，构建若干系统响应求解格式，并分析了算法精度、效率；通过矩阵变换，利用矩阵对称性、子结构等方法改进精细积分计算效率。 | | 10. | Using the complex potential method in the plane theory of elasticity of an anisotropic body , the series solution of finite anisotropic thin plate containing an elliptical inclusion is proposed with the help of faber series . a hybrid element with an elliptical inclusion for anisotropic materials is obtained by using the hybrid variable principle , and the element efficiency is verified by numerical examples . the state of the damage is modeled by an elliptical soft inclusion , and using the point stress criterion based on characteristic curve and yamada - sun etc . criteria , the prediction of the strength of a composite laminate with damage is set up
首先基于经典层板理论，将复合材料层板的弹性问题化归为均匀各向异性板来求解；采用各向异性体平面弹性理论中的复势方法，以faber级数为工具，给出了有限大含椭圆核各向异性板弹性问题的级数解形式；利用杂交变分原理，成功导出含椭圆核各向异性板杂交应力有限元，并用算例验证了该单元的可行性和有效性；采用含刚度折减椭圆形弹性核的冲击损伤模型，引入基于特征曲线和yamada - sun破坏准则的点应力判据，建立了含损伤复合材料层板剩余强度的分析方法；通过数值计算详细讨论了各种几何参数对损伤层板应力分布、剩余强度的影响，得到了一系列对工程应用具有实用价值的结论。 |
- Similar Words：
- "series shots" English translation, "series shunt" English translation, "series shunt network" English translation, "series shunt peaking" English translation, "series softening" English translation, "series source resistance" English translation, "series spark gap" English translation, "series spectral lines" English translation, "series spectrum" English translation, "series spot welding" English translation
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