查询词典 variational formulation

The dissertation presents a mathematical modeling approach for the high-speed flexible linkage mechanisms equipped with bonded piezoelectric sensing/actuating elements employing a mixed variational approach with Hamilton's principle in conjunction with the finite element formulation. This model includes both the terms coupling the elastic and rigid-body motions of linkage mechanisms and the terms coupling the elastodynamics and piezoelectricity of the elements, incorporating their effects upon the mass and stiffness matrices which are in general non-symmetric.

本文以国家自然科学基金资助项目《弹性连杆机构有害振动的主、被动控制及混合控制研究》（资助号：59605001）和广东省自然科学基金项目《开链及闭链机构有害振动控制研究》（资助号：970381）为依托，对高速弹性连杆机构振动的主动控制中的建模、求解、控制律的选择、作动/传感元件的优化以及实验研究等几个关键问题进行了比较深入细致的研究，取得了一些具有重要理论意义和重大实际应用价值的成果。

Using the first order shear deformation theory for plate and mechanical-electro coupled variational equation, the two dimensional dynamic finite element formulation containing the effect of pressure in the cavity was derived.

数值分析了在不同的结构和声腔共振频率下主动控制效果，结果表明通过合适地布置压电片，能够很好地控制腔体的声压与位移。

Variational principles play an important role in the formulation of many problems of mathematical physics.

变分原理现在许多数学物理的表述中起着重要作用。

Presents a new formulation of Lagrange s equations by using an augmented Lagrangian function with the first order non linear nonholonomic constraint equations, and offers a unified variational approach to both holonomic and nonholonomic constraints.

采用带有二阶非线性非完整约束方程的扩张性拉氏函数，建立起了拉格朗日方程的又一新公式，该新公式较为规则，它提供了一种完整约束系统和非完整约束系统两者统一的变分方法。

In Chapter 5, we study three dimensional elasto-plastic frictional contact problems with orthotropic friction law. Parametric variational principle and parametric quadratic programming method are applied to analyze this class of complicated mechanics problems. A linear complementarity problem formulation is derived.

在第五章，我们采用正交各向异性摩擦定律模型对三维弹塑性摩擦接触问题进行分析，将正交各向异性的摩擦定律线性化后，将参变量变分原理和参数二次规划法应用到这一复杂的力学问题中来，最终将问题化为线性互补问题模型。

In order to solve the traveler route and departure time choice problem under multiple transportation modes,the variational inequality formulation is proposed in modeling the traveler stochastic dynamic simultaneous route and departure time choice behaviors with elastic demand .

为了解决在多种交通模式条件下出行者的路径与出发时间选择问题，提出了一个变分不等式模型用于模拟具有变需求的多模式随机动态出行选择行为。

In the thesis a novel formulation of variable-domain variational principle for fluidmechanics has been successfully deduced,and the Kelvin's theorem has beenextended to steady compressible ones.

本文还排导得到了一个新型的变域变分公式，并把Kelvin原理推广到定常可压无旋流体。

The long-term seepage control effects of the surrounding rocks of the underground powerhouse are performed by a stationary seepage analysis method combining the variational inequality formulation of Signorini's type with an adaptive penalty Heaviside function to guarantee the numerical stability and convergence. Meanwhile, the difficulty in finite element mesh generation is reduced and the calculation time and modeling accuracy are balanced with a global model of equivalent modeling and a submodel of accurate modeling for drainage hole array.

为确保数值计算的稳定性和收敛性，采用Signorini型变分不等式和自适应罚函数相结合的稳定渗流分析方法，对厂房围岩的长期渗控效应进行计算分析；同时，采用基于等效模拟的整体模型分析和基于精细模拟的子模型分析相结合的方法，以减小有限元建模难度并协调计算量和计算精度之间的矛盾。

Weak formulation of mixed state equations including boundary conditions are presented in a cylindrical coordinate system by introducing Hellinger_Reissner variational principle.

从Hellinger_Reissner变分原理出发，在柱坐标系中，导出圆柱壳的弱形式混合状态方程和边界条件，联用状态空间法给出叠层柱壳的解析解，此法使得求解该类问题的形式得以扩大和统一。

Basing on a modified Reissner-type incremental variational principle in conjunction with mechanical subelement model and updated Langrangian description, a finite-deformation hybrid/ mixed finite element formulation is presented.

根据修正的Reissner变分原理，采用Updated Lagrange描述，建立了基于力学子单元模型的增量型大变形杂交/混合有限元列式方法。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。