查询词典 Hamilton principle

However,authors still do not find the relevant references on convergence and symmetric problems of the semi-analytical solution.Based on the semi-analytical solution for Hamilton canonical equation theory,the formulations of the clamp and simply supported and symmetric boundary conditions on the Hamiltonian element are derived by the variational principle.Several numerical examples show that with increase of meshes,the convergence rate of the semi-analytical solution is faster than the convergent rate of traditional finite element method based on displacement.

①在厚度上没有任何位移和应力模式的假设，由于传递矩阵方法的引入，从理论上讲，不受板壳厚度或层合板壳层数的限制；②采用弹性力学的Hamilton正则方程半解析法，可以克服边界的局部化效应[8]；③由于在平面内或圆柱壳的曲面内采用了有限元法，所以一般的板壳问题不受结构侧面边界条件的限制，在复杂工程板壳问题上具有广泛的应用领域。

Firstly, the modified H-R variational principle for elastic material was briefly presented, then the quadratic interpolation functions were used to express the out-plane stresses and displacements variables, consequently the formulation of 8-node isoparametric element for Hamilton canonical equation was derived in detail.

首先简要地介绍了弹性材料修正后的H-R变分原理，然后用二次插值函数表示平面外应力和位移变量，并详细地推导了Hamilton正则方程的八节点等参元列式。

The differential equation of motion and boundary conditions of the plates are derived using Hamilton's principle.

用Hamilton原理推导了这种板的运动微分方程和边界条件。

The formula of piezoelectric finite element and the active control of the laminate response are derived from Hamilton principle and are demonstrated by numerical examples.

建立了压电材料有限元模型，并在Hamilton原理基础上推导了冲击响应的主动控制公式，进行了数值验证。

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。

Rumjantsev used Hamilton's principle with Lagrange's multipliers to generate the dynamical equations of a rigid-fluid coupled system in 1954 and the dynamical equations and their dynamical boundary conditions of a fluid-elastic coupled system in 1969, where the fluid is incompressible and inviscid. In 1990, Liu used Jourdain's principle with Lagrange's multipliers to generate the dynamical equations of a rigidfluid coupled system, where the fluid is incompressible and viscid.

Rumjantsev利用带Lagrange乘子Hamilton变分原理于1954年建立了刚—流耦合系统的动力方程，于1969年建立了流—弹耦合系统的动力方程及其动力边界条件，其中所考虑的流体是不可压无粘液体；Liu利用带Lagrange乘子Jourdain变分原理于1990年建立了刚—流耦合系统的动力方程，其中所考虑的流体是不可压粘性液体。

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。

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。

To study the influence of this damper configuration to aeromechanical stability, some work has been done in this thesis. First, dynamic equation of the rotor-hub system was modeled with the generalized Hamilton principle, which can be used to analyze the stability problem in different conditions like on-ground, hovering and flight. When fastening the fuselage, the model can also be used to analyze the stability problem of isolated rotor system.

为了研究这种新型布置减摆器对直升机稳定性的影响，本文所作研究工作如下：首先，本文利用广义的Hamilton原理建立了适用于不同状态的旋翼/机体耦合系统的动力学模型，该模型中将机体固定可以用来分析孤立旋翼的稳定性问题。

In the first place, the normal flexible body dynamics modelling method of continous system is built based on hamilton principle. And then taking the flexible beam tunning in the horizontal plan for example, in the assumption of Euler-Bernoulli beam,the identical linearilized vibration differential equation is deduced according to geometry constraint conditions .

首先基于Hamilton原理建立起一般柔性体连续系统的动力学建模方法，进而以水平面内作大范围回转运动的柔性梁为例，在Eu1er-Bemoulli梁模型的假设前提下，根据轴向不可伸长的柔性梁的几何约束条件，推导出作大范围刚体运动的柔性梁连续系统的一致线性化振动微分方程。

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％。