数值计算

Based on the laminate theory, a laminate weakened by damage is treated as an anisotropic thin plate. 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. The effects of various parameters on the stress distribution and the residual strength of a composite laminate weakened by damage are detailedly studied.

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。

Convert relationship of prototype robot joint angle and equivalent model joint angle is presented based on the method of kinematics inverse solution. The Jacobian algorithm of redundant robot for achieving effective joint excursion is studied, which is fit for digital calculating. The grads projection algorithm of redundant robot multi optimizing capability function's proportion factor is deduced. The issues of apery arm robot singularity and joint self-movement are researched. The simulation experiment result of apery arm joint self-movement and line movement is presented.

因为七自由度拟人手臂机器人的建模比较困难，采用了在等效模型下求解其运动学逆解的方法，给出了原机器人机构关节角与等效模型关节角之间的转换关系；提出了一种适于数值计算的有效的求解有关节偏置的冗余度机器人Jacobian的算法，并在此基础上推导了冗余度机器人多优化性能指标函数的均衡比例因子梯度投影算法；研究了拟人手臂机器人的奇异问题和关节自运动问题；给出了拟人手臂进行关节自运动和进行直线轨迹跟踪的仿真实验结果。

It is an improvement of previous approximate solution, and the formula in this article can be used in numerical calculation and simulation of atmospheric electric parameters in the future.

该文的工作是对以前相关工作仅能得到近似解的一种改进，同时本文所得公式可用于今后对大气电参量进行相关的数值计算及模拟之中。

A method for the generation of Weierstrass fractal surface is presented,based on Helmholtz equation,with the Kirchhoff approximation,the calculus formula of light scattered field on the 1-D Weierstrass fractal suface is deduced.

采用Weierstrass分形函数模拟实际粗糙表面，从简谐光波满足的亥姆荷兹方程出发，利用基尔霍夫近似推导出一维Weierstrass分形粗糙表面的光散射场的积分公式，考虑遮蔽效应后数值计算并分析了表面散射光强的角分布特性。

The mechanical properties of argil fly-ash concrete and effectiveness of its application to abutment-backfill are investigated by material experiment, centrifugal modeling test and numerical calculation.

通过材料性能试验、土工离心模型试验和数值计算，研究陶粒粉煤灰混凝土的物理力学性能及其在桥涵台背回填的应用效果。

Because $numericBase is converted to a string during the merge operation, no arithmetic operation is performed.

因为在融合操作中被转换为了字符串，所以并没有进行真正的数值计算。

To analyze the rounding error of calculator floating-point numbers arithmetic operation is the foundation of numerical calculation method's error analysis.

对计算机浮点数算术运算的舍入误差进行分析，是对数值计算方法作误差分析的基础。

In the course of numerical calculation, the influence among asperities, the coupling problems of the variation of temperature and pressure on contact surfaces, the variation problems of the maximum temperature, maximum contact pressure, maximum stress were taken account into.

在数值计算过程中，着重考虑了微凸体之间的相互影响，温度变化与接触区域压力变化的耦合问题，最高温度、最大接触压力以及最大等效应力的变化问题。

Algorithms of the generalized spherical harmonics and their fixed integral are researched. A lot of computing methods of the fully normalized associated Legendre function are detailedly discussed.

作者的主要工作和创新点有以下几个方面： 1、研究了广义球谐函数及其相关定积分的数值计算方法。

In processing asunder distributed data, a fast PCA algorithm was proposed.

提出了在数据分布比较分散情况下的一种快速的PCA数值计算方法。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新