查询词典 quadratic equation

The boundary contour formulations of evaluatingstresses from the Somigliana stress identity are derived for 2-D problemswith quadratic boundary elements.The boundary contour method basedon the traction boundary integral equation is further discussed.Elasticproblems are first solved using the traction boundary contour method.Amixed collocation of the displacement boundary contour formulation andtraction boundary contour formulation is given.(4)The dual boundarycontour method is developed for the analysis of crack problems.

3建出了Somigliana应力积分式的二维和三维问题的边界轮廓法理论；给立了二维问题由Somigliana应力积分式计算应力的二次形函数的边界轮廓法方程，进而给出了基于面力边界积分方程的边界轮廓法；提出了一种以位移边界轮廓法方程与面力边界轮廓法方程混合配置的方案，首次实现了用两种积分方程相结合来求解弹性力学问题。

Firstly, the modified H-R variational principle for elastic material was briefly presented, then the quadratic interpolation functions were used to express the out-plane stresses and displacements variables, consequently the formulation of 8-node isoparametric element for Hamilton canonical equation was derived in detail.

首先简要地介绍了弹性材料修正后的H-R变分原理，然后用二次插值函数表示平面外应力和位移变量，并详细地推导了Hamilton正则方程的八节点等参元列式。

The quadratic function of wave equation was derived.

推导了波动方程的二次泛函形式。

The steepest descent method was applied in optimization to solve the quadratic matrix equation,and a new algorithm was given.

结合优化理论中最速下降法思想，给出一种新的算法解二次矩阵方程，并列出几个数值例子说明算法是可行的。

In this paper,we study the bifurcation theory of reaction diffusion equation,we give a rigorous bifurcation analysis for a reactor model with combination of quadratic and cubic steps.

在无差速流动反应扩散模型的讨论中，对有二次项和三次项的反应模型的分歧解给出了严密的分析。

Aiming for discrete transfer function, on the basis of solving Diophantine equation, constrained Generalized Predictive Control is studied by using Quadratic Programming and Goal Programming.

针对离散传递函数模型，在求解Diophantine方程的基础上，分别用二次规划和目标规划对有约束广义预测控制进行了研究。

Aiming for discrete transfer fi.inction, on the basis of salving Diophantine equation, constrained Generalized Predictive Control is studied by using Quadratic Programming and Goal Programming.

针对离散传递函数模型，在求解Diophantine方程的基础上，分别用二次规划和目标规划对有约束广义预测控制进行了研究。

Assuming that the temperature distribution close to the concrete surface is the quadratic function of the coordinate, the back-analysis equations of thermal conductivity, heat transfer coefficient and absorption coefficient of solar radiation are derived based on one dimension Fourier equation of heat conduction and thermal boundary conditions.

为了选取更接近实际的热工参数，采用试验和反演分析相结合的方法，计算影响日照条件下混凝土结构温度场和温度效应分析结果的热工参数。

Massive simulation experiments have proved the correctness and possibility of the fitting algorithm of quadratic surface which is based on general equation.

大量的仿真数据实验表明，本文提出的基于一般化方法的标准二次曲面拟合算法的正确性和可行性。

We construct algorithms in which directions are computed by these two systems and the step-sizes are generated by Armijo line search to solve the original constrained optimization problem and prove that the discrete scheme based on the differential equation system with the second order information has the locally quadratic convergence rate under the local Lipschitz condition.

我们构造了搜索方向由两个微分系统计算，步长采用Armijo线搜索的算法分别求解这个约束最优化问题，在局部Lipschitz条件下基于二阶信息的微分方程系统的迭代方法具有二阶的收敛速度。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。