查询词典 piecewise linear element

According to structural characteristics of floating slab tracks, a track segment element was taken between two adjacent fasteners. For each element, rails were regarded as Euler beams supported by discrete viscoelastic supports. The fasteners and rubber supports were replaced by a linear spring and damp. So the vibration model of the floating slab track was established. In constructing vibration model of a metro train, each car of the metro train with two suspensions was modeled as a multi-rigid body system, in which rigid bodies were connected with each other by a linear spring and damp. Combining the potential energy of vertical vibration of the track with that of the metro train, the total potential energy of vertical vibration of the train and track was obtained. And then, the matrix equation of vertical vibration of the system was established using the principle of total potential energy with stationary value in elastic system dynamics and the "set-in-right-position" rule for formulating system matrices. The vibration responses of the system can be obtained by solving the matrix equation with the direct time integration such as Wilson-θ method.

摘 要：针对浮置板式轨道结构特点，取相邻2个扣件之间的轨道为1个轨段单元，钢轨视为连续弹性点支承Euler梁，浮置板视为弹性薄板，扣件系统及橡胶支座均模拟为线性弹簧及粘滞阻尼器，建立浮置板式轨道振动模型；将城轨列车中的车辆均离散为多刚体系统，各刚体之间通过线性弹簧及粘滞阻尼器相连，建立列车振动模型；将浮置板式轨道及列车振动势能叠加，得到系统竖向振动总势能；基于弹性系统动力学总势能不变值原理及形成系统矩阵的"对号入座"法则，建立此系统竖向振动矩阵方程；采用Wilson-θ逐步积分法求解此矩阵方程，得出此系统竖向振动响应。

In this article taking the attachment polysome contact key question of bearing which is used for some model solid propellant engine as the research background, based on the rolling bearing, applying the non-linear contact question in finite element method, the whole size 3D polysome non-linear finite element analysis under the work load is carried on.

本文以某型号固体火箭发动机轴承类接头多体接触的关键问题为研究背景，基于滚动轴承，采用接触问题的非线性有限元方法，在额定载荷下进行全尺寸三维多体非线性有限元分析。

On the basis of experimental research, this thesis applies 2-dimensional non-linear finite element method to the analysis of transient temperature field on the section by means of relatively high precision triangular element of six joints. When the temperature field is analyzed, finite element reseaus are divided in space field and finite difference reseaus are divided in time field, and then the program is compiled. The computing results are in good agreement with the test data. It indicates that the program is stable and precise.

在试验研究的基础上，本文采用精度较高的三角形六结点单元对构件截面二维非线性瞬态温度场进行了有限元分析，即在空间域内采用有限元网格划分，在时间域内采用有限差分网格划分，据此编制了计算程序，计算结果与试验数据符合较好，程序稳定性好，精度满足要求。

Based on the basic theoryof non linear finite element, the author of the paper set up the double non linearfinite element equation based on the updated Lagrangefor mutations forthe 8-node degenerate shell element and considering the nonlinear of geometryand the nonlinear of materials.

本文根据非线性有限元的基本理论，采用基于修正的拉格朗日法描述的八节点超参数壳体单元，考虑几何非线性和材料非线性，推导建立了双重非线性有限元方程，结合混合强化本构关系，编制了非线性有限元计算程序。

The unique class unit which makes up the deployable structures,'scissor-like element',is treated as a macro element.Formulation for duplet stiffness is derived.And the linear elastic response is investigated numerically using this formulation.Owing to the introduction of a novel type of macro element,the number of degrees of freedom is reduced,and the solution efficiency is increased.

将可展结构的特有单元——剪式单元作为一个宏单元来考虑，推导了宏单元的刚度矩阵，并用于可展结构线弹性响应的数值分析，减少了总体自由度，提高了算法效率。

In this paper,the development of non-linear analysis approach,a more detailed presentation of the finite element software ADINA and ANSYS in the reinforced concrete structure,step by step analysis of a reinforced concrete structure of the finite element analysis techniques and the use of commercial finite element analysis software for concrete the structure of the two most important components-beams and columns of the comparative study of performance analysis.

本文从非线性分析的发展入手，较为详尽的介绍了有限元软件ADINA和ANSYS在钢筋混凝土结构中的应用，逐步分析了钢筋混凝土结构的有限元分析技术，并且利用商业有限元分析软件对混凝土结构中最重要的两类构件——梁和柱的性能进行了对比研究分析。

The main contents include: Some preliminary theory (introduction to Sobolev spaces and variational formulations for differential equations); finite element methods for one-dimensional elliptic problems; the construction methods for general finite elements; error estimates for interpolation operators and inverse inequalities for finite element spaces; a priori and a posteriori error estimates for the finite element method for high-dimensional elliptic problems; some typical spectral methods for partial differential equations; error analysis for the spectral approximation for some linear and nonlinear partial differential equations.

主要内容有：准备知识（Sobolev空间的基本概念和主要结果，微分方程的变分描述）；一维椭圆型方程有限元方法；一般有限元的构造；插值算子误差估计和逆不等式；高维椭圆型方程的先验、后验误差估计；求解偏微分方程的几类谱方法；线性与非线性问题谱逼近的误差分析等。

The finite element analysis models of linear elastic fracture with 20-nodes substance element and cracking singular element were established.

提出采用20节点等参单元、裂缝奇异单元，建立了铺装层线弹性断裂力学有限元模型，通过裂缝尖端应力强度因子的计算，研究了钢桥面沥青铺装层破坏情况对裂缝扩展的影响。

Using linear elastic fracture mechanics and finite element method and window moving technique, a two-dimensional asphalt pavement crack propagation path simulator program has been developed with a combination of 8-node quadrilateral isoparametric element and 6-node triangular collapsed singular isoparametric element.

鉴于影响沥青路面早期裂缝的因素多而复杂，给出了影响沥青路面裂缝的因素及其相互作用关系图帮助识别裂纹形成机理。

That is, the constant element for velocity potential, called 0 type element, and linear element for its nor

即对势函数采用线性元(或称之&1&型单元)，而对势函数法向导数采用常数元(或称之&0&型单元)，以这样的0-1混合型边界元剖分计算域的

It was just a normal day of school

那只是上学的普通一天

Which is a very good reference in this issue.

这是一个在这个问题上很好的参考。