查询词典 exact solution

Nonlinear flexural wave equation is solved by the Jacobi elliptic function expansion method. Two kinds of exact periodic solutions of the nonlinear equations are obtained, that is, the shock wave solution and the solitary wave solution. The necessary condition for existence of exact periodic solutions, shock solution and solitary solution is discussed, which is consistent with the qualitative analysis.

利用Jacobi椭圆函数展开法，对该非线性方程进行求解，得到了非线性波动方程的准确周期解及相对应的孤波解和冲击波解，讨论了这些解存在的必要条件，这与定性分析的结果完全相同。

According to the plane cross section assumption, configuration of a rod is expressed as a history of the cross section with arc coordinate. A special solution which stands for equilibrium in straight line state is obtained from differential equilibrium equation. Linear perturbation equation is derived and its general solution is obtained in which the integral constants are determined by constrained conditions at two ends of the rod. The condition of existence of non zero solution of the integral constants gives to the Greenhill formula of exact elastic rod model, which shows that the boundary of stable area is a closed curve and of symmetry, and inference of shearable and extensible to stability of the rod is depend on three factors: difference between flexibility of shear and extension of a section of the rod, bending stiffness and the length of the rod.

基于平面截面假定，弹性杆的位形表达为截面的弧坐标历程，根据平衡微分方程得到了两端受力螺旋作用时的直线平衡特解，导出了线性化扰动方程及其通解，积分常数根据两端铰支时的边界条件确定，并根据其存在非零解的条件得到弹性直杆精确模型的Greenhill公式，表明稳定域为一对称的封闭区域，拉/压和剪切对稳定性的影响取决于：拉/压柔度与剪切柔度之差，抗弯刚度和杆长这三个因素

The inverted boundary data becomes closer to the exact solution when the number of elements increases, and numerical experiments show that the rate of convergence is higher for the formulation using the singular integral equation.

数值结果显示，当元素数目增加的时候，收敛性变得较佳；同时，使用奇异积分方程式的收敛性比较好。

Based on them, we calculated precisely some enegy levels of P-wave and D-wave of a helium atom, presented and proved the general interdimensional degeneracies for a quantum N-body system, derived the general spherical spinor functions and the exact solution to the Dirac equation for the hydrogen atom, and proved uniformly the Levinson theorem for the Dirac equation in D-dimensions.

在此基础上，我们精确计算了氦原子P波和D波若干较低能级，建立和证明了量子N体系统不同维数状态间最普遍的简并，推导出任意 D 维空间广义球旋函数和Dirac方程氢原子的精确解，统一地提出和证明了任意 D维空间Dirac方程Levinson定理的一般形式。

The calculation based on the quasi conforming element method is the exact solution of generalized compatibility equations and satisfies the weak continuity requirement naturally,and in the calculation,which does not need satisfy stress equilibrium conditions,the calculating process of the matrix's inverse is simplified.

拟协调元不需要应力满足平衡条件，简化了矩阵求逆计算，容易得出应变的离散精度，因此可以解决常规有限元难以适应的领域，对计算力学发展起着重要的作用。

The three-dimensional exact solution methods for dynamic problems of a finitely long piezoelectric composite laminates are studied .

有限长压电层合板结构动态问题的三维精确解研究。

Needless to say, finding exact solution of the Fokker- Planck equation with time-dependent drift coefficients is also very difficult in general.

很明显的如果我们讨论的问题加入了时间变数，则要得到精确解更是困难。

Under the assumption of orthographic projection, the method can obtain exact solution of motion parameters.

扩大了二帧线对应运动估计的应用场合及参数估计动态范围。

Finally, our recent advances in the conjectures and the putative exact solution of the 3D Ising model are introduced.

最后，介绍了我们对三维简单正交晶格伊辛模型的猜想以及推定的精确解。

Being given,an exact solution of the spatial distribution of interstellar gas is obtained,and the peak distribution of gas in disk-shaped galaxies is discussed.

分析了星系翼的一般特征，并具体地计算了银河系中星际气体的等密度曲线，提出了银河翼结构的一些可能趋势。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。