哈密顿原理

第二种型式哈密顿原理的注记

A Note about the Second Fashion of Hamilton 's Principle

哈密顿原理在分析力学中的应用

The Application of the Hamilton 's Principle in Analytic Mechanics

推广的N个时间的哈密顿原理和正则变换群

Generalized Multi-Time Hamilton Principle and Canonical Transformation Group

由上原理出发，可分别得出最小作用量原理，哈密顿原理、费马原理、H定理和最小熵产生原理。

From the generalized principle , we can derive Least-Action Principle , Hamiltion Principle , H Theorem , Least Entropy-produced Principle and so on .

基于Biot双相各向异性介质理论和动态问题的哈密顿原理，推导出任意双相各向导性介质中弹性波传播的有限元方程，并给出双相各向异性介质中弹性波有限元方程的数值解法。

Based on Biot theory of two-phase anisotropic media and Hamilton theory about dynamic problem , finite element equations of elastic wave propagation in two-phase anisotropic media are derived in this paper . Numerical solution of finite element equations is given .

哈密顿原理在均匀杆振动中的应用

The Application of Hamiltonian Principle on the Vibration of Homogeneous Rod

基于哈密顿原理求解时间最优控制系统问题

Solving Optimum Design Problem about Time on Hamilton Principles

关于正则变换与哈密顿原理的两个问题

Concerning two problems of canonical transformations and Hamiltons principle

基于哈密顿原理的两种材料界面裂纹奇性研究

The interface crack singularity analysis of the bimaterial body based on Hamilton principle

并且根据哈密顿原理，推导了刚体-弹簧元分析结构动力响应的计算公式，编制了相应的程序；

Based on Hamilton principle , the dynamic Rigid Body-Spring Method is also studied .

拉氏函数和哈密顿原理对量子波动场的分析和应用

Analysis and Application of Lagrangian Function and Hamilton ′ s Principle in the Quantum Wave Field

在第二章介绍了哈密顿原理、孤立子、约化摄动方法、完全近似方法等本文主要用到的原理、概念和方法。

In chapter 2 Hamilton principle , Solitons , Reductive perturbation methods and Complete approximate method are presented .

根据哈密顿原理建立了板式轨道轮轨系统垂向耦合模型的振动方程，并编制了求解程序。

Based on the Hamilton theory , the differential equation of the vertical vibration of vehicle and slab track is established .

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。

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

计算结果表明，基于电热函的广义哈密顿原理是分析压电材料的机（力）-电耦合问题简单而又精确的模型。

The results demonstrate that the electric enthalpy-based Hamilton principle is a simple and powerful model to solve electric-mechanical coupling problems of piezoelectric materials .

利用哈密顿原理推导出压电结构的变分方程，建立了智能结构的有限元动力方程。

Hamilton ′ s principle is used to derive the equation of piezoelectric thin films and the dynamic finite element equations of intelligent structures .

根据哈密顿原理，提出了应用插值振型函数法，研究多跨连续梁在移动荷载作用下车桥耦合振动的动态响应问题。

According to Hamilton Principle , the interpolating vibration mode function is proposed to study the dynamic response of vehicle-bridge coupling Vibration under the moving load .

研究基于电热函的广义哈密顿原理在压电材料的机（力）-电耦合效应分析中的应用。

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 .

本文对一些著作中有关正则变换与哈密顿原理的两个问题提出了异见。

In this paper , we propose some views different from those found in the literatures about two problems of canonical transformations and Hamilton 's principle .

从哈密顿原理出发，导出其状态方程，采用有限维样条函数逼近该动力系统的运动。

Applying Hamilton principle , the static equation of the dynamic system is derived and piecewise splines are used to approximate the motion of the system .

主要工作如下：1、建立了大展弦比机翼的非线性气弹分析模型，根据哈密顿原理推导了机翼结构的非线性运动微分方程；

Develop an analytical model of the nonlinear aeroelasticity of the high-aspect-ratio wings and give the nonlinear partial equations of wing structure motion based on the Hamilton principle .

再根据哈密顿原理导出了悬索大挠度振动的有限体积离散方程，推出了索的整体节点力向量、质量矩阵和切线刚度矩阵。

The final finite-volume discretization equations are derived using the Hamilton principle . Meanwhile the global nodal force vector , mass matrix and tangent stiffness matrix of the cable are obtained .

应用哈密顿原理，推导出均匀杆的纵振动方程与横振动方程。

The longitudinal and transverse vibrating equations of the homogeneous rod are deduced with Hamiltonian principle . Compared with other methods , the deduction is more pithy and has clearer physics meaning .

根据哈密顿原理推导了非线性动力有限元的平衡方程，并提出用牛顿&拉夫逊法与纽马克法相结合对非线性动力有限元方程进行求解的方法。

Based on the Hamilton Principle , this paper derives the equation of Non linear dynamic finite element , and presents a way to solve this equation , which combines the Newton Raphson iteration method and Newmark method .

研究了难于求解的多种材料楔形结合点的应力奇性问题.利用哈密顿原理，将原问题的控制方程以哈密顿体系形式表述；

The problem for stress singularity analysis near the corner of wedged multi dissimilar materials are discussed . Based on Hamiltonian principle , the governing equations of the original problem are expressed in the form of Hamiltonian system .

气动/结构耦合数值模拟是研究非线性气动弹性的基础。主要工作如下：1、建立了大展弦比机翼的非线性气弹分析模型，根据哈密顿原理推导了机翼结构的非线性运动微分方程；

Coupling CFD / CSD is foundation of analyzing nonlinear aeroelasticity . 1 . Develop an analytical model of the nonlinear aeroelasticity of the high-aspect-ratio wings and give the nonlinear partial equations of wing structure motion based on the Hamilton principle .

以一空间坐标模拟时间，利用弹性势能得到对偶变量，并运用哈密顿原理构造出哈密顿体系下的对偶正则方程组。

In the system , one spatial coordinate is simulated to the time and the dual variable is obtained from the elastic potential energy . The dual equations , in Hamiltonian system , are shown with the aid of the Hamiltonian principle .

由哈密顿原理导出了夹层圆板非线性振动的基本方程，并且给出了表板很薄情况下的简化形式。

By means of Hamilton principle , the fundamental equations of nonlinear vibration for circular sandwich plate are derived . In most cases , the face plates of sandwich plate are very thin , consequently , the simplified fundamental equations are given for this case .

本文讨论了哈密顿原理的数学基础，指出该原理中算符δ的两种意义：（1）在某些情况下，哈密顿原理中的算符δ代表一端固定、另一端变动的变分。

In this paper , the mathematical basis of Hamilton 's principle is discussed and two significations of the operator δ in this principle are indicated . In some cases , the operator δ represents a variation with a fixed end point and a variable one .

利用哈密顿原理建立了支承运动情况下变速旋转梁的弹性振动方程及边界条件.最后本文以准振型为广义座标，以哈密顿原理为手段，得出了频率计算的近似方程。

The dynamic equation and boundary condition of the rotating flexible beam carrying a concentrated mass at its free end ware derived . Also an approach formula for frequency calculation is obtained by taking the quasi-vibrational mode as a generalized coordinate and by virtue of the Hamilton 's principle .