查询词典 compatible system of algebraic equations

According to heat load source of die cavity, temperature distribution gradient equations and heat flux equations and the peak value equations of temperature load at die cavity surface have been obtained with research of temperature distribution and transfer laws of die surface by unsteady heat transfer theory.

摘要根据锻模型腔热负荷来源，通过非稳态传热理论，分析研究了模具工作表面层的温度分布与传递规律，给出了型腔表面温度分布梯度和热流密度公式，并给出了锻模型腔表面的温度负荷峰值的计算公式。

According to heat load source of die cavity, temperature distribution gradient equations and heat flux equations and the peak value equations of temperature load at die cavity surface have been obtained with research of temperature distribution and transf

摘要根据锻模型腔热负荷来源，通过非稳态传热理论，分析研究了模具工作表面层的温度分布与传递规律，给出了型腔表面温度分布梯度和热流密度公式，并给出了锻模型腔表面的温度负荷峰值的计算公式。

According to heat load source of die cavity, temperature distribution gradient equations and heat flux equations and the peak value equations of temperature load at die cavity surface have been obtained with research of temperature distribution and transfer laws of die surface by unsteady heat transfer theory.

新闻摘要：根据锻模型腔热负荷来源，通过非稳态传热理论，分析研究了模具工作表面层的温度分布与传递规律，给出了型腔表面温度分布梯度和热流密度公式，并给出了锻模型腔表面的温度负荷峰值的计算公式。

The calculation mechanics model is used for the curtain wall decussate rope net structure, including m horizontal ropes and n vertical ropes. The balance and displacement equations, alse the potential energy and kinetic energy equations, are constituted for the points with distributive loads and tensile force after the rope net distortion. Using the theory of finite analysis method, these groups of the n horizontal ropes' 2m+5 and m vertical ropes' 2n+5 equations are founded and the numerical solution is calculated.

建立幕墙由m根横向索、n根竖向索组成的正交索网结构的计算力学模型，在网点分配荷载及预张力作用下，列出钢索变形后的平衡方程、位移方程和弹性变形位能与外力作功方程，用有限分析方法将竖向索包含n个由2m+5变元组成的非线性方程组，将横向索包含m个由2n+5变元组成的非线性方程组寻求数值解。

The experiments were carried out to calibrate FDR in the lab and field, and calibration equations were verified by oven-dried method for soil samples obtained by augers. The result showed that good calibrating equations with average RMSE 0.023 m^3/m^3 were fitted in the lab, but they had poor RMSE 0.066 m^3/m^3 when used in the field. Other calibrating equations with average RMSE 0.026 m^3/m^3 were also fitted by indirect field calibration method, and they had good RMSE 0.026 m^3/m^3 when used in the field.

结果表明，室内试验获得了较好的模型参数，均方根误差平均达到了0.023 立方公尺/立方公尺，但是应用到田间条件下误差很大，均方根误差平均为0.066立方公尺/立方公尺；田间条件下也间接获得了较好的模型参数，均方根误差的平均值为0.026立方公尺/立方公尺，应用于田间时测定含水量的精确度较高，均方根误差的平均值为0.026立方公尺/立方公尺。

In the first part, the SIMPLE algorithm is used to solve the MHD equations and the solutions of MHD equations are presented for the whole free-burning arc, excluding the electrodes. The SIMPLE algorithm has been revised in order to solve MHD equations, and the flow chart is showed.

第一部分：采用标准SIMPLE算法，并作了一些修正，给出了具体的计算步骤和流程图，将其应用于磁流体动力学方程进行数值求解。

From the Maxwells equations in integral form directly, the Maxwell Grid Equations are derived through discretization of the solution space and the equations, and thereout the common equation of arbitary structures. Secondly, the solution uncertainty of a common electro-magnetic equation is proved and a strategy is advised to get the unique solution of the finite integration equation.

直接从积分形式麦克斯韦方程组出发，通过空间离散与方程离散得到麦克斯韦网格方程组，由此得到任意结构的一般方程；深入分析了麦克斯韦网格方程组的代数特性，论证了其解的不确定性，并指出了一种可避免解不确定性的措施。

And then the influence of two of the damage models, the Kachanov and the gradient-dependent constitutive equations, on the well-posed properties of the fundamental equations in continuum damage mechanics is studied according to the characteristic method of the quasi-linear partial differential equations under the case of one dimension elastic damage.

首先从非局部理论出发，推导了应变梯度损伤本构方程；然后利用一阶拟线性偏微分方程组的特征理论，在一维弹性损伤情况下分析了两种不同的本构模型，即Kachanov损伤本构方程与应变梯度损伤本构方程，对连续介质损伤力学基本方程适定性的影响。

Synthesizing the degrees of freedom of both rotor and helicopter body, and involving time derivatives of flap motion coefficient and induced velocity model derived from vortex theory, the governing equations of helicopter maneuvering flight are derived properly, with combination of kinematic equations and dynamic equations.

集旋翼和机体之自由度并计及挥舞运动系数对时间的导数和涡流理论的诱速模型，把运动学方程和动力学方程组合起来，从而导出了机动飞行的控制方程。

The numerical model of non-linear wave in harbor, including the non-coupled and non-linear wave numerical model, the numerical model combined Boussinesq equations with Laplace equation and the coupled numerical model combined Boussinesq equations with Euler's equations, are studied.The studies on non-coupled and non-linear wave numerical model are following.

本文分别以Boussinesq方程，二维和三维Laplace方程，欧拉方程和牛顿第二定律作为基本控制方程，分别从非耦合非线性波浪计算模型(指单独采用一个计算模型：本文指Boussinesq方程，或边界元法解Laplace方程，或有限元法解Laplace方程)、Boussinesq方程与Laplace方程耦合计算模型、Boussinesq方程与欧拉方程耦合计算模型三个方面对港口非线性波浪计算模型展开了研究。

Methods Clinical data of 3 cases of bile duct injury during laparoscopic cholecystectomy were analyzed retrospectively.

回顾总结3例LC术中胆管损伤的临床资料，分析3例胆管损伤的原因及对策。

These techniques are applied to the gobang.

本文将这些技术用于五子棋中。