查询词典 jacobian method of eigenvalue problem

In this paper,using the theory of planar dynamical system and the method of Jacobian elliptic function,the generalized Boussinesq equation is studied.

1引言非线性Boussinesq方程在物理学和流体力学领域是一个非常重要的数学模型，主要用于描述在弱非线性条件下和弱介质中的波的传播[2-7]。

The solution of the equation and the period of the particle motion for a non-pertubated system are expressed exactly by means of Jacobian elliptic function and the 1-st kind elliptic integral.Melnikov function of the rotated periodic orbit is constructed,and also bifurcation of the system is analyzed by the method.

利用Jacobian椭圆函数和椭圆积分给出了系统的解和粒子运动周期，用Melnikov方法构造了旋转型周期轨道的Melnikov函数，并用这个方法分析了系统的局部分叉性质。

This method doesn't compute the Moore-Penrose inverse of image Jacobian.

这种方法无需计算雅可比矩阵伪逆。

The method of determining direct singular positions of this particular manipulator by using Jacobian matrix is also discussed.

并与利用Jacobian矩阵寻找正向奇异位置的方法作比较。

Based on the screw theory and the vector product, a modified method for solving Jacobian matrix is proposed in this paper.

基于旋量理论和矢量积法，本文提出了求解雅可比矩阵的改进方法。

Results of calculation examples show that the proposed DC Jacobian matrix method is of superiority in computation speed and optimal result.

算例表明，直流雅可比矩阵法在计算速度和优化结果等方面都具有很大的优越性。

According to the mapping relation of input and output of the parallel robot, Jacobian matrix of this robot was obtained on the basis of velocity projection method.

根据该并联机构的输入输出映射关系，推导出一种基于速度投影的雅可比矩阵求解方法。

Comparing with traditional LU numerical decomposition algorithm to solve each row of lower triangular matrix L and each column of upper triangular matrix U, the proposed method is easy to program and efficient In addition, the structure symmetry of Jacobian matrix and the experience of compiler optimization are also adopted in this research, it makes less required memory for the proposed algorithm and higher calculation efficiency.

这种算法和求取L阵每列和U阵每行的传统LU分解方法相比，具有编程简单、计算效率高的优点。另外，雅可比矩阵结构对称以及编译器优化的经验也应用到文中，使得算法不仅占用内存较少，且效率较高。

Oil film forces and its Jacobian matrix at any moment of sliding bearing with finite length is determined using finite element method based on the variational inequalities principle.

根据不等式变分原理，采用有限元离散化方法，求解有限长径向滑动轴承任一时刻的油膜力及相应的Jacobi矩阵。

The unbalance forces due to the lumped eccentric mass are treated as general forces. Meanwhile, the potential energy expression about gravity based on finite element method is presented for convenience. Based on the variational inequalities principle, the finite element is used to determine the film forces produced by fluid film bearing and damper at any moment and its Jacobian matrix with respect to location and velocity of journal and bearing house.

在第二部分中，主要应用有限元方法及Hamilton原理对所研究系统进行了建模分析，着重对质量偏心问题进行了分析处理，并对此提出了两种处理方法：一、转化为对系统动能的影响；二、将其产生的离心惯性力视为非保守的广义力，并对其表达式进行了推导，同时为分析问题方便，基于有限元离散化方法，推导了重力的势能表达式。

Aquatic or marsh-growing fern allies; known to have existed since the Cenozoic; sometimes included in Lycopodiales.

生活于水中或湿地的蕨类；从新生代生存至今；有时归于石松目之中。

The engine was uprated from a 90hp Franklin to a 125hp Lycoming.

改良过的引擎是从90hp到125hp莱康明富兰克林。