摄动法

Chapter 3 analyzes numerically the effects for orbit calculation caused by orbital perturbation, parameter error and so on. A precise mathematical model of orbit calculation is given.

第三章通过数值法分析了各项轨道摄动和参数误差等因素的对轨道计算的影响，给出了精确的月球探测器轨道计算数学模型。

Non-linear singular perturbation problems;rational collocation method; Sinh transform;boundary layer;internal transition region.

非线性奇异摄动问题；有理配点法；Sinh变换；边界层；内部过渡区域

A proper k total colouring of a graph G is a colouring to its vertices and edges using k colours such that no two adjacent or incident elements of G may be assigned the same colour.

利用梯度投影与罚函数相结合的技巧，将带不等式和等式约束的优化问题化成一个无约束问题，提出了初始点可任意的求解不等式、等式约束优化问题的摄动梯度投影算法；参数δk取不同的数还可以得到一类梯度投影算法，从而得出了在搜索方向和步长不精确条件下的梯度投影法，保证了在实际应用中更容易实现；在较弱条件下，证明了该算法的全局收敛性。

In the sense of Von Karman large displacement, the governing equation of nonlinear dynamic response of the clamped circular plates under impact of a mass is established by using the virtual displacement principle and Galerkin's method in this paper. The effect of coupling between the impact load and the displacement of. the circular plates is considered. The governing equation is solved by applying the time increment method and the singular perturbation theory, and the asymptotic solutions of nonlinear dyna...

本文在Von Kármán大位移的意义上，利用虚位移原理伽辽金方法建立了圆板在物体撞击下的非线性动力响应的控制微分方程，在研究响应问题时，考虑了冲击载荷与圆板位移响应之间的耦合影响，文中使用时间增量法和奇异摄动理论求解问题的控制方程，获得了固支圆板非线性动力响应的近似解，并且求解了具体算例，绘出了圆板位移、应力响应曲线以及冲击力随时间的变化曲线。

This one-way wave equation fits eikonal equation and transport equation corresponding to full acoustic wave equation in travel-time and first order amplitude. According to the perturbation theory often used in inverse solution, we split the velocity field into intraformational constant velocity background and variable velocity disturbance. Then we calculate time-shift quantity of migration and amplitude correction coefficients for wavefield depth continuation in total uniform formation and each formation.

基于反问题求解中常用的摄动理论，把速度场分裂为层内常速背景和变速扰动，求得整个均匀层波场深度延拓的偏移时移量及振幅校正系数、各层的偏移时移量及振幅校正系数，从而得到一个基于傅里叶有限差分法的双域保幅叠前深度偏移算子方程。

The equations of motion for the nonlinear nonplanar flexible cantilever are derived by using the generalized Hamiltons principle. Then, the Galerkin procedure and the method of multiple scales are used to give the perturbation analysis of the system and the average equations. The three resonant cases are considered in this dissertation.

对于非线性非平面运动悬臂梁，利用广义Hamilton原理详细推导了运动微分方程，综合运用Galerkin离散方法和多尺度法对非线性非平面运动悬臂梁的动力学方程进行摄动分析，得到了三种共振情况下的平均方程。

The optimal control problem of the equations is solved using Gauss pseudospectral method.

利用Gauss伪谱法对摄动方程进行了最优控制求解和仿真验证。

Aimed at the large deformation problem of industry cooling tower shell, the mathematical model for the random response of rotational shell under the external random excitation is established by statistic perturbation method.

针对工业冷却塔结构大变形的随机动力问题，利用统计摄动方法，考虑旋转壳法向几何非线性及随机激励作用，建立了旋转壳的非线性随机动力响应数学模型。

The solution of perturbation pressure is used to calculate air bearing's stiffness and damping coefficients.

采用非结构三角形网格的有限元法求解压强摄动方程，并计算气膜刚度系数和阻尼系数。

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。