查询词典 structure equations

The train is treated as multi-body system, and its dynamic equations are derived using the D\'Alembert principle. The rail structure is modeled as discrete-supported three-layer system considering the degrees of rail, sleeper and ballast.

车辆为多刚体系统，采用D'Alembert原理建立其动力方程；轨道结构采用考虑钢轨、轨枕、道碴自由度的三层点支承模型；采用有限元法建立桥梁动力分析模型。

We present the fundamental theories of Noether symmetries and conserved quantities of mechanco-electrical dynamical systems, including variation principle of the system, Noether symmetry transformation, Noether quasi-symmetry transformation, generalized Noether quasi-symmetry transformation, Killing equations, Noether theorem, the form of conserved quantity. And then the basic theory of Lie symmetry is advanced, including the determining equation, structure equation and the form of conserved quantity.

给出机电动力系统的Noether对称性和守恒量基本理论，包括系统的变分原理、Noether对称性变换、Noether准对称性变换、广义Noether准对称性变换、Killing方程、Noether定理和守恒量的形式；给出机电动力系统Lie对称性的基本理论，包括确定方程、结构方程以及守恒量的形式。

In this paper we review some recent progress on the nucleation of zeros and the structure of the nodal sets of the complex-valued solutions of Ginzburg-Landau system for superconductivity and of more general partial differential equations with magnetic Schrodinger operator.

本文考察了近年来对超导的Ginzburg-Landau方程复值解的零点的产生与零点集的结构的研究进展，也考察了含有磁Schrodinger算子的更一般的偏微分方程的相关问题。

Based on the linear elastodynamics theory, an analytical model is established for the propagation of generalized Rayleigh waves in a coated structure. Moreover, the dispersion equation is derived from the wave motion equations and the boundary conditions.

基于弹性动力学的线性理论，建立了涂层材料中广义瑞利波传播的理论分析模型，并且由波动方程和边界条件推导了波的频散方程。

In the numericalstudy, three-dimensional elastodynamics equations and Morison equation are applied tosimulate the time histories of dynamic response of submarine pipelines suspended over flatbeds sucessfully. The three-dimensional interaction of pipeline and internal flow isnumerically simulated by applying the iterative computation to the fluid-structure interfacesand using the elastodynamic equation and the incompressible fluid N-S equation andcontinuity equation.

在数值研究方面，本文利用三维弹性动力学方程，结合莫里森方程，较好地模拟了规则波浪作用下近壁悬跨弹性海底管线动力响应过程，结合不可压缩流体N-S方程和连续方程，进行管线及其内部流体的三维流固耦合数值计算，基于数值计算结果探讨内流管线系统的动力特性和管内流体特征。

Although the merit function introduced here is the sum of squares of overdetermined equations, by using the special structure of it, we successfully form the Newton equation by avoiding the product of Jacobi matrices and using only the Jacobi matrix of the function defining NCP.

对非线性互补问题，利用所构造价值函数具有的特殊非线性最小二乘结构，成功实现了具有一般意义的构造Newton方程时仅利用价值函数的一阶导数且无须计算相应残量函数Jacobi矩阵乘积的Newton法。

Differential equations of tile first order in the finite discrete function are established, the solutions of which have very simpler structure.

引入了有限离散函数的微分与积分新概念，它具有与连续函数微分和积分相类似的性质，由它建立的一阶微分方程的解有较简单的代数结构。

At first, basing on the boundary value problem concerned with fluid-composite structure interaction and characteristic of acoustic wave radiation, a generalized Hamilton variational principle is derived, and the equations of motion based on the finite element method is also derived.

首先，从复合结构与流体相互作用问题的有关混合边值问题出发，针对声波辐射特点，推导了一种广义形式的Hamilton原理及有限元形式的运动方程。

The formula to calculate the flotage of air-filled bucket and the force equilibrium equations of structure are derived according to the assumption that the compression relationship of the air half-closed in bucket is linear.

假设浮筒内的空气为理想气体，导出了气浮力的计算公式和气浮结构的力平衡关系。

Furthermore, the general stiffness matrix is formed and the finite element matrix equations about the general displacement of the rigid structure are derived.

而对刚体运动方程的进一步研究，得到了船与船厢的广义刚度阵并建立了关于船与厢广义位移的微分方程组。

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％。