canonical equation

Canonical Equation and Principle of Least Strain Energy

正则方程与最小应变能原理

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Hamilton canonical equation for elastic bodies and natural frequencies analysis of integral stiffened plates

弹性体的正则方程和加筋板的固有频率分析

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The error accumulation of dynamics can be eliminated by using canonical equation and symplectic integral method so that the computational accuracy can be ensured effectively.

正则方程与辛算法密切结合，消除了动力学计算的误差累积，保证了计算精度。

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Hamilton canonical equation theory of Elasticity when is employed to deal with the problems relative to the laminated plate, it holds a number of unique advantages.

弹性力学的Hamilton正则方程理论在处理复合材料层合板的有关问题时，具有独特的优势。

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Meanwhile, being differ from traditional energy release rate for cracked laminated composite plates, the numerical solution method based on the semi-analytical solution of Hamilton canonical equation system is proposed and discussed in this paper.

并在传统的能量释放率理论的基础上，本文提出了一种基于Hamilton正则方程半解析法的数值分析法。

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The general meaning of the canonical equation and the principle of the least strain energy in linear elastic statically indeterminate systems has been discussed for applications of the force method and the second theorem of Castigliano in the above systems.

本文就线弹性静不定系统中力法与卡氏第二定理的应用，讨论正则方程与最小应变能原理在静不定系统中的普遍意义。

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In this paper, the Hamilton canonical equation for Vlasov plates and its solution with seperation of variables is presented.

构造出了符拉索夫板弯曲问题的Hamilton正则方程，给出了它的分离变量通解。

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Then the symplectic approach is used to solve the canonical equation rationally.

以此为基础，再利用辛几何方法理性求解对偶方程。

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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

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Based on the Hamilton canonical equation for elastic bodies, and using its semi-analytical solution, the linear equation for each layer of laminated shells is established respectively.

以弹性力学中的Hamilton正则方程为基础，分别应用Hamilton正则方程的半解析法构建层合壳每一层的线性方程。

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For the systems with holonomic constraints, the relativistic Lagrange equation, Nielsen equation, Appell equation and Hamilton canonical equation of the rotational systems are constructed;

对于完整约束系统，建立了转动系统的相对论性Lagrange方程、Nielsen方程、Appel方程和Hamilton正则方程；

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Solving with the Lagrange Equation, the mentality is clear, is two steps ordinary differential equation, but the Hamilton Canonical Equation is a step ordinary differential equation, the form is simple and easy to operat.

用拉格朗日方程解决，思路清晰，是一个二阶常微分方程组；而哈密顿正则方程则是一个一阶常微分方程组，形式简单，使用方便。

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The state vector equation is derived from the present variation algorithm after performing variation operations, and the state vector equation can be also called Hamilton canonical equation.

通过变分运算得到了柱坐标系下的状态向量方程，该状态向量方程也是Hamilton正则方程。

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Radiative Transfer Equation& A Canonical Equation in K-Symplectic Space

辐射迁移方程&一个K-辛空间上的正则方程

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A representation and a priori estimate for the solution of the canonical Beltrami equation in connection with Riemann boundary conditions are developed, which may be used for existence as well as uniqueness statements for related nonlinear problem.

本文建立了联系于Riemann边值条件的标准Beltrami方程的解的表示及先验估计。这些结果可能被用来证明非线性问题的解的存在性和唯一性。

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The Hamilton canonical equation for Vlasov plates and its symplectic algorithm

符拉索夫板的Hamilton正则方程及其辛算法

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Based on the semi-analytical solution of Hamilton canonical equation, a new mathematical model for the vibration characteristics of a group of double-shell structures is proposed.

以Hamilton正则方程的半解析法为基础，为一类双壳结构的振动特性提出了一种新的数学模型。

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The Canonical Forms of State Equation of Nonlinear Circuits and Their Compositions

非线性电路状态方程范式及其编写

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Thirdly, derives canonical equation and variation equation and by using the first integral constructs integral invariant.

再次，建立这类系统运动的正则方程和变分方程，并由第一积分构造系统的积分不变量；

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The application of phase space and Hamilton Canonical Equation in statistical mechanics

各向异性弹性力学问题Hamilton正则方程的一般形式相空间和哈密顿正则方程在统计力学中的应用

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Based on the Mindlin plate theory, and by modifying the mixed variational principle, the Hamilton canonical equation for the free vibration analysis of Mindlin plate is derived and the analytical solution is also deduced by the adjoint ortho-organization symplectic geometry method.

本文通过对混合能变分原理的修正，建立了Mindlin板动力学问题的Hamilton正则方程，并采用共轭辛正交归一关系给出固有频率分析的精确解。

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Wavelet Finite Element Method of Hamilton Canonical Equation

Hamilton正则方程的小波有限元方法研究

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The author gives the canonical equation of generalized classical mechanics, and then studies its nonsimultaneous variational equations and their solutions, and proves that integral invariant of the system can be constructed by using the first integral.

给出了广义经典力学的正则方程，研究了其非等时变分方程，讨论了它们的解，并证明可由第一积分构造相应的积分不变量。

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In this paper, the author deduces the basic equation of statistical Mechanics-Liouville Theorem in two different ways from analytical mechanics ′ concepts of phase space and the Hamilton Canonical Equation.

本文笔者用两种不同思路由分析力学的相空间概念和哈密顿正则方程推导了统计力学的基本方程&刘维定理。

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Study on Oscillation of Large-scale Turbo-generator Stator System under Hamilton Canonical Equation System

Hamilton正则方程体系下大型汽轮发电机定子系统的振动研究

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Hamilton canonical equation in dynamic analysis of thick laminated shell and its exact solution

叠层厚壳动力分析的Hamilton方程及精确解

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We present several Partial differential equation model of spiral wave, and present a detailed introduction on the Canonical equation of the moving of spiral tips.

给出了螺旋波几个偏微分方程模型，对螺旋波的端点运动的正则方程作出了详细的介绍。

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An analogue method to introduce canonical equation of motion in quantum field theory

过渡到量子场论基本方程的类比法

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The principles are applied to derive the Hamilton canonical equation, the Lagrange equation, the Nielsen equation and the Appell equation.

从变分原理出发导出Lagrange方程、Nielsen方程、Appell方程和Hamilton正则方程；

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Hamilton Canonical Equation Theory of Laminated Structure and Application in Vibration Analysis of Turbo Generator Stator Core

叠层板结构Hamilton正则方程理论及其在发电机铁芯振动分析中的应用

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