查询词典 Hamilton principle

A wave equation of discrete media is established using Hamilton's principle and the solutions of the plane wave problem are discussed.

运用Hamilton原理，建立起离散介质波动方程，同时，进行了平面波解的讨论。

By the Hamilton's principle, this paper presents a generalized formulation for modeling the system with passive piezoelectric shunt circuit .

首先利用Hamilton原理推导了分支电路压电阻尼减振系统分析模型的一般表达式。

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。

Based on the equation of piezoelectricity and Hamilton principle, a generalized piezoelectric laminated thin shell is analysed and the dynamic equation is derived.

本文从压电本构方程和Hamilton原理出发，对一般的压电层合薄壳进行了力—电耦合分析，推导出了该结构力—电耦合的动力平衡方程，在理论上进行了深入的研究。

First, on the basis of the von Karman's plate theory and the Hamilton's principle, governing equations, in terms of the displacements of the middle plane, of the problem are derived.

首先基于vonKármán板理论和Hamilton原理，建立了问题的位移形式的控制方程。

Hamilton principle can be used in holonomic system and intrinsical linear nonholnomic system. The formulas of them are unified. Hamiltonian action is stability in intrinsical linear nonholnomic system.

本文将Hamilton原理应用到本质线性非完整系统，首次证明了在本质线性非完整系统中，Hamilton作用量为稳定的作用量；将完整系统和本质线性非完整系统的Hamilton原理从形式和本质上统一起来。

Based on the Timoshenko-Mindlin hypothesis and the Hamilton Principle, a set of governing equations of motion for the laminated non-circular cylindrical thick shells were founded.Using the Galerkin procedure,the Mathieu equation only with time variable was obtained,and this equation was solved by the method of increase harmonic balance.

基于Timoshenko-Midlin假设及Hamilton变分原理，建立了层合中厚非圆柱壳的非线性运动控制方程，采用伽辽金技术，得到仅含时间参数的Mathieu型方程，然后应用增量谐波平衡法进行求解。

This article consists of four parts: In the first part of thesis introduced Heisenberg's early years of life and the creation of Matrix mechanics, expounded Münich、G?ttingen,Copenhagen, three places different academic atmosphere which produce to Heisenberg's institute of physics, and revealed how to set up Matrix mechanics by mathematics method; The second part introduce Schr?dinger's university life, the research results, and the establishment of Wave mechanics. The different academic atmosphere of Vienna and Zürich have the difference influence which brings to Schr?dinger's research work, how to establishment the Schr?dinger equation based on Hamilton equation of classical mechanics, and elaborated the physical controversy caused by the equivalent.; The third part analyzed two mechanics different approaches in which the way to propose the question and solve the question; The last part recommend the different philosophy interpretations, Schr?dinger's interpretation onΨfunction, the statistical interpretation of Wave mechanics, uncertainty principle, and which caused this free discussion of quantum mechanics.

文章共分为四部分：第一部分介绍了海森伯的早年生活及其创立矩阵力学的过程，阐明了慕尼黑、哥廷根、哥本哈根三地不同的学术氛围对海森伯的物理研究所产生的不同作用，并揭示了海森伯如何用数学方法建立矩阵力学方程的过程；第二部分介绍了薛定谔的大学生活、研究成果，以及波动力学的创立过程，说明了维也纳和苏黎世不同的学术气氛给薛定谔的研究工作带来的不同影响，解释了薛定谔以经典哈密顿方程为基础建立薛定谔方程的过程，并阐述了等价性所引起的物理争论；第三部分分析了两种力学的思想进路在提出问题、解决问题上的不同；最后一部分介绍了对两种力学形式不同的哲学诠释，薛定谔对Ψ函数的诠释、波函数的统计解释和测不准原理，以及由此引起的量子力学的大讨论。

The fluid film bearing-flexible rotor nonlinear system with squeeze film damper is modeled practically using the finite element method and the Hamilton principle.(3) The film forces produced by fluid film bearing and squeeze film damper are determined by finite element method at any moment, and the Jacobian matrix is also determined.(4) A method for analyzing the dynamics of a large system with local nonlinearities is presented. The stability and bifurcation of the equilibrium position and the unbalance responce of a fluid film bearing-flexible rotor system with squeeze film damper are investigated based on the assumption of an incompressible lubricant together with the long bearing approximation for fluid film bearing, short bearing approximation for squeeze film damper and the"π"film cavitation model.

主要研究内容包括下面几个方面：（1）对挤压油膜阻尼器-滑动轴承-转子非线性动力系统中的非线性现象进行了机理方面的研究；（2）应用有限元方法及Hamilton原理对复杂的挤压油膜阻尼器-滑动轴承-转子非线性动力系统进行了建模分析；（3）对滑动轴承及挤压油膜阻尼器中任一时刻的油膜力及相应的Ja-cobi矩阵的确定进行了分析；（4）对一类具有局部非线性的多自由度动力系统，提出了一种可以有效地分析其动力特性的方法；（5）采用实验与理论分析相结合的方法，对挤压油膜阻尼器-滑动轴承-转子非线性动力系统的动力特性进行了分析。

In this paper, a general, strain-consistent, third-order displacement field of shells is proposed. On this basis, the nonlinear theory of composite laminated shells including third-order transverse shear deformation and rotary inertia is developed. Hamilton's variational principle is used to derive the nonlinear static and dynamic governing differential equations and the corresponding boundary conditions of composite laminated anisotropic general shells under the orthogonal curvilinear coordinates. And the form of spherical shells is degenerated.

本文提出了一种最普遍的应变协调、三阶壳体位移场，在此基础上建立了考虑三阶横向剪切变形和旋转惯性的复合材料层合壳体非线性理论，用Hamilton变分原理导出了复合材料层合各向异性任意壳体在正交曲线坐标系下的非线性静、动力控制微分方程和相应的边界条件，并将其蜕化为球壳形式。

Great. What repertoire did you see?

太棒了。你看的是什么剧目？

I prepared not to accept such ridiculousness:"Please," I said to him.

我可不想理会这套荒谬的东西："请你通情达理一点儿。"