查询词典 Hamilton principle

By means of the language of mathematical logic the invariance of Hamilton principle under canonical transformation is expressed and proved.

用数理逻辑的语言表述了哈密顿原理及其在正则变换下的不变性，并给以证明。

Based on the Hamilton Principle and the Finite Element Method, a non-linear discrete dynamic equation is worked out.

本文在已建立的动力学方程基础上，通过算例仿真说明了该方法对带端部质量的旋转刚-柔耦合耦合智能结构控制是有效的。

This paper presents the electric enthalpy density-based Hamilton principle and its application in solving the problems with coupled mechanical and electrical properties of piezoelectric materials.

研究基于电热函的广义哈密顿原理在压电材料的机-电耦合效应分析中的应用。

Numerical simulations were done by ANSYS based on the finite element method,in which the functional is solved by Hamilton principle.

模拟软件采用ANSYS，数值计算基于有限元数值计算方法，并利用哈密顿原理求解泛函，在控制计算精度的基础上，得出了该电子光学系统的内部静电场分布和轴上电位分布，同时对静态条件下的电子轨迹进行了模拟计算。

A unified form of Hamilton principle in intrinsical linear nonholonomic system is studied in chapter 4. Lastly, this paper presents the conclusion and the prospects of the nonholonomic dynamics.

本文首次提出了本质线性非完整约束和本质非线性非完整约束的概念，并将非完整系统区分为本质线性和本质非线性两种不同的情况。

First, the principle of Jourdain for the nonholonomic systems of variable mass in event space is presented.

1918年，Noether从研究Hamilton作用量在无限小变换下的不变性出发，找到了力学系统存在守恒量的条件和形式。

Secondly, by introducing the generators of the infinitesimal transformations of Jourdain, the Noether′s theorem for the above nonholonomic systems of variable mass in event space has been obtained, which is based upon the invariance of the differential variational principle under the infinitesimal transformations of group.

这一成果揭示了力学系统的守恒量和其内在的对称性的关系，极大地推动了力学、物理学的发展。在近20年来，国内外的许多学者相继对Noether定理做了多方面的推广，不但用Hamilton作用量而且用微分变分原理研究完整和非完整系统的守恒律。

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。

Quasi Hamiltonian system; nonlinear stochastic optimal control; robustness; robust control; parametric uncertainty; uncertain disturbance; Bouc-Wen hysteretic system; Preisach hysteretic system; minimax optimal control; stochastic stabilization; stochastic averaging method; stochastic dynamical programming principle; stochastic differential game; maximal Lyapunov exponent

国家自然科学基金；拟Hamilton系统；非线性随机最优控制；鲁棒性；鲁棒控制；参数不确定性；不确定扰动； Bouc-Wen滞迟系统； Preisach滞迟系统；极小极大最优控制；随机稳定化；随机平均法；随机动态规划原理；随机微分对策；最大Lyapunov指数

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。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。