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。
The general solution of the simple harmonic equation ( 3.1) can therefore be expressed in the following alternative forms. 因此简谐运动方程(3.1)的通解可用下列任一的形式表示。
In this paper we discuss the natural boundary element method for harmonic equation in an exterior elliptic domain. 本文以调和方程为例,研究椭圆外区域上的自然边界无法。
The harmonic amplitude equation and the generation efficiency of nonlinear optical frequency conversion ( NOFC) in quasi-phase-matching ( QPM) were discussed. 讨论了准相位匹配(QPM)技术中的非线性光频转换谐波振幅方程和谐波转换效率。
It is also called a harmonic equation. 它也被称为调合方程。
By using the harmonic equation of the tension and shape of stay cable, a state revision method is presented for the nonlinear analysis of stay cable in this paper. 为此利用斜拉索外形与索力的协调方程,提出了一种适合斜拉索非线性分析的状态修正法,并由算例证明了此法的正确性、实用。
Special solution of second harmonic wave equation in nonlinear acoustics and applications to boundary-value problem 非线性声学谐波方程的特解及其在边值问题中的应用
FENG Kang, YU De-hao and some other scholars of our country are the first ones to create the natural boundary element method ( NBEM), and they have successfully studied the natural boundary reduction method for the boundary value problems of harmonic equation and biharmonic equation. 我国学者冯康、余德浩等首创自然边界元法,并已成功地研究了调和方程及双调和方程边值问题的自然边界归化方法。
Discussion on Plane Harmonic Waves Equation 对平面简谐波波动方程的讨论
Steadiness of harmonic exciting Mathieu equation with small damping 小阻尼简谐激励Mathieu方程的周期稳定性
Solving ground state energy and wave function of a linear harmonic oscillator by Euler equation 用泛函Euler方程求解线性谐振子的基态能量和波函数
These include the radial equation of the three-dimensional isotropic harmonic oscillator, the radial equation of Kepler's problem, Kepler's problem in parabola coordinates, and s state problem of Morse potential. 这些变形包括三维各向同性谐振子径向方程、开普勒径向方程、Morse势s态等问题。
Numerical solution of harmonic canonical integral equation over sector with crack and concave angle 断裂及凹角扇形域上调和正则积分方程的数值解
Many interesting results have been obtained for the solutions of harmonic equation and their obstacle problems, however the definition and regularity results for nonhomogeneous elliptic equation ( 1.1) stall be unknown. 近年来对调和方程及其障碍问题解的正则性研究有了很大进展,但关于非齐次椭圆形方程(1.1)的障碍问题很弱解的定义和正则性结论仍未有结果。
Concerning regularity of weakly harmonic maps of equation, had compensation theory, but it is difficult to give compensation condition in material equation. 有关方程弱调的正则性问题,尽管已有补偿理论,但在具体方程研究中,补偿条件的给出,总是很困难的。
This paper deals with the extremum principle for very weak solutions of A-harmonic equation, where the operator A satisfies the monotonicity inequality, the Lipschitz type condition and the homogeneity condition. 本文考虑A-调和方程很弱解的极值原理,其中算子A满足单调不等式、Lipschitz型条件和齐次性条件。
A Solution to the Dirichlet's Problems on the Application of the Harmonic Equation on a Spherical Area Without Poisson's Formula 不通过Poisson公式解调和方程在球上的一类Dirichlet问题
Besides, some techniques for boundary conditions, interior boundaries, interfaces between different dielectric media and time harmonic equation are proposed for the employment of this preconditioner. 此外,还提出了对不同的边界条件、求解域内部边界、介质分界面和时谐场方程的处理技术以便应用该预处理器。
The general solution for this plate is obtained by solving the corresponding harmonic equation twice with the help of the curvilinear coordinate transformation. 求解的方法是采用曲线坐标变换,两次求解相应的调和方程,推导出解的一般形式。然后利用边界条件确定通解中的待定常数。
Variation solution of harmonic equation problem with over-determined Dirichlet boundary value 调和方程超定Dirichlet边值问题的变分解
The A harmonic equations are an important extension of p harmonic equation in R~ n for p> 1. They are intimately connected to the fields such as potential theory, quasi-regular mapping ( quasi-conformal mappings) and the theory of elasticity. A-调和方程是p-调和方程(p>1)的直接推广,它与拟正则映射和拟共形映射以及弹性理论有着密切的联系;最近几年,它的几何和分析性质得到广泛的研究。
Shannon wavelet method of natural boundary element of harmonic equation 调和方程自然边界元Shannon小波方法
In this paper the author popularized the Dirichlet principle. The author used self-adjoint secondorder elliptic partial differential equation replacement harmonic equation. 本文用一般自伴椭圆二阶偏微分方程代替调和方程,给出Dirichlet法则的推广。
The vibration equation for thin flat plane loudspeaker with single point drive and four corners fixed is deduced and its simple harmonic vibration frequency in this condition is analyzed. The force equation is obtained considering the simple harmonic vibration frequency equation. 推导了固定四角薄型平板扬声器在单点激励下的振动方程,分析了在受激情况下的简正频率,并由简正频率方程导出其受力方程。
On the basis of contact angle experiments, surface energies of TATB, HMX and four fluor polymers were calculated by geometric equation, harmonic equation and Young Good Girifalco Fowkes ( YGGF) equation respectively. 在接触角实验基础上,分别用几何方程、调和方程、YGGF方程计算了TATB、HMX与F2314等四种氟聚合物的相应表面能数据。
Galerkin Boundary Element Method for Harmonic Equation with Open Boundary 开边界外调和方程的迦辽金边界元解法
A variable method of a type of equation with harmonic operator equation of high steps polynomial at cylindrical 圆柱坐标系下高阶多项式形式调和算子方程的分离变量解法
Solution of the double harmonic equation in the elasticity stress field of edge dislocation 刃型位错弹性应力场的求解
The paper deals with a simple solution to the Dirichlet's problems on the application of the harmonic equation on spherical area which means without Poisson's formula actually a solution to Euler equation. Thus the solution is easily ( arrived) at. 得到了一个解调和方程在球上的一类Dirichlet问题的简单方法,即不通过Poisson公式而实际上只解一个Euler方程,从而较容易地求出其解。
This provides the rank ordering for the measurement nodes, and in MATLAB environment, respectively, model with modeling and simulation for excluding power transformers and transformer, establishing the harmonic state estimation equation, using least squares method to verify the feasibility of the algorithm. 本文给出了节点量测量的排序规则,并在MATLAB环境下,分别对不含变压器和含有变压器的电网模型进行建模仿真,建立谐波状态估计方程,用最小二乘法求解,验证了算法的可行。