基于STEP中性文件的有限元自动建模

直接利用CAD系统的几何造型 ,以STEP中性文件为CAD造型系统与有限元单元剖分系统间的几何和拓朴信息传递媒介 ,实现有限元单元的自动剖分。按STEP/AP2 0 3的语义模型提取STEP中性文件中三维形体的表面信息 ,将该形体的每个表面映射到二维参数平面 ;利用参数平面的边界数据和二维单元自动剖分模块 ,用推进波前法实现表面网络的自动生成 ;然后由表及里实现三维实体单元的生成 ,系统基于STEP中性数据文件 ,可以与多个流行的CAD系统实行连接。     

曲面有限元网格引线织就生成法

离散曲面边界并初始化可出发构造新单元的单元边线段序列,依次从序列中的单元边线段出发,采用线段定向布点法或圆定向布点法,构造用于确定新节点生成位置的待选点集。从待选点集或曲面上已有的网格节点选择合适的点参与新单元的构造,并利用曲面参数域检查新单元的网格拓扑相容性。随节点、单元边线段和新单元交替生成,最终生成符合有限元分析要求的曲面网格。关键区域网格的自适应加密,则采取网格密度规划方式,通过构造曲面有限元自适应网格单元尺寸信息场来加以实现。     

环件冷辗扩有限元模拟中网格的自适应加密

为保证环件冷辗扩有限元模拟中网格的可靠性和计算效率,提出了一种基于单元几何特征的六面体网格自适应加密方法,实现了根据单元与模具干涉和网格畸变来自动控制网格的疏密,以获得最优化的网格和计算结果;网格剖分采用基于提取表面单元和继承层单元拓扑信息的方法,对初始网格直接进行剖分,不仅适应性广,而且有利于场变量的传递;最后通过算例验证了该自适应加密方法的有效性。     

三维CAD/CAE一体化的参数化动态有限元建模

提出了一种基于CAD参数化技术与CAD／CAE一体化技术的参数化动态有限元建模方法，该方法解决了三维实体有限元建模中几何模型的描述与驱动、参数联动、模型自动更新等一系列问题，为先进的参数化有限元分析与优化设计提供了关键技术基础；阐述了三维参数化动态有限元建模方法中的若干关键技术，包括具有典型意义的基于AutoCAD／MDT二次开发环境ObjectARX的CAD／CAE集成方法、复杂三维组合曲面网格全自动生成算法、复杂三维实体的四面体网格全自动生成算法、面向对象的有限元模型描述方法，以及有限元模型的参数驱动方法等；建立了一个三维参数化形状优化设计应用原型系统。     

基于特征的自适应有限元网格自动生成

针对常规自适应有限元网格生成方法对分析对象的特征描述能力不足,提出了基于特征的自适应有限元网格生成方法。通过特征定义及特征点、线、域搜索,可实现基于特征控制的自适应有限元网格密度分布。     

四叉树法非结构网格剖分技术研究

针对有限元前置处理中二维复杂域四边形网格自动剖分问题,对四叉树网格剖分算法进行了研究。描述了四叉树网格的数据结构及其递归生成过程;提出基于计算机图形学的网格黑白性判断算法;给出两种边界网格处理的修正方法,并对这两种修正方法进行了比较;利用四叉树数据结构的特点实现对网格遍历、查找、插入等操作,并根据最近共同祖先法完成四叉树网格邻域的查询。结果表明:采用该方法可以实现有限元网格全自动剖分,网格生成只依赖于二维域的几何特征,对复杂边界的适应性强,生成的网格域内全部为四边形,只在域边界处出现少量三角形网格,具有较高的质量;网格生成、遍历、查找等数据操作效率高、时间短。     

复杂机械结构的参数化建模及模态分析

利用特征建模技术和参数化建模技术建立某军用柴油机机体、曲轴、缸盖的三维实体模型,并组成机体 曲轴 缸盖的组合结构.采用动态子结构法建立机体 曲轴 缸盖组合结构的参数化实体模型,并对参数化实体模型进行有限元模态分析.无论是从理论角度还是试验角度都难以获得组合面间的刚度与阻尼特性,故采用虚拟材料来模拟结合面特性,反复修正虚拟材料的特性常数,使组合结构的有限元模态分析结果与试验结果吻合.对比结果显示,所建机体 曲轴 缸盖组合结构的参数化模型是正确的,这种参数化实体模型的建立可为下一步的动力学仿真研究奠定基础.     

基于特征的有限元网格划分研究

鉴于特征技术在工程设计中的广泛应用,本文将特征技术引入有限元网格划分之中。结合塑性成形领域中的冲压产品特征设计,首先定性描述了特征对有限元网格划分的意义,提出了基于特征变化过程的有限元网格划分方法;然后讨论了如何实现特征对有限元网格划分的定量指导。     

A comparison between automatically generated linear and parabolic tetrahedra when used to mesh a human femur

Finite element models of bone segments generated from computed tomography data using automatic mesh generation algorithms are becoming common not only in research but also in clinical applications such as computer aided orthopaedic surgery. Especially in the case of the latter application, the models cannot be verified against an experimental measurement, therefore their inherent accuracy should be well known before drawing conclusions based on the calculated results. This study was carried out to assess the performance of tetrahedral solid finite elements with linear and quadratic displacement functions when they are used to mesh the human femur in conjunction with automatic mesh generator methods. Ten-node quadratic tetrahedra (T10) having parabolic displacement functions were compared with four-node linear tetrahedron elements (T4) on the basis of accuracy and central processing unit (CPU) time. From the analyses of 11 finite element meshes, it was concluded that linear tetrahedral elements should be avoided and quadratic tetrahedral elements ought to be chosen for the purposes of finite element analysis of the human femur. When incremental loading and iterative solution is necessary, the coarsest possible T10 mesh compatible with accuracy is needed to minimize computer capacity and CPU time.     

梯度引导电学成像自适应网格生成方法

电学层析成像是一种观测场域内电导率分布的无损检测技术。有限元法是求解电学层析成像问题的常用方法。其作为线性化的近似方法,剖分单元的大小会影响有限元法求解的精度。更密的尺寸可以提高重建图像的空间分辨率,但会增加计算成本,同时未知量个数的增加会加剧逆问题的欠定性。针对上述问题,提出一种基于图像梯度的自适应网格生成方法。根据初始重建图像的梯度,自适应地提高内含物区域的网格密度,降低其他区域的网格密度,并对场域边界进行精确拟合来优化被测场域的网格剖分。通过仿真与实验研究对比分析了所提方法与常用网格剖分方法。结果表明,所提方法的重建结果图像误差平均降低15%,相关系数平均提高7%,因此所提方法在不显著增加或减少网格数的情况下,可以有效提高内含物的重建精度和图像重建质量。     

承受轴压的X管节点极限荷载有限元分析

采用有限元法分析轴力作用下X管节点所能承受的极限荷载。在对X管节点进行数值模拟的时候,考虑焊缝对其强度的影响。在有限元分析中,采用分区网格产生法形成X管节点的有限元网格,即把整个X管节点根据计算精度的需要划分成几个不同的子区域,每个子区域的网格单独产生,整个管节点的有限元网格通过合并各个子区域的网格而形成。这种分区网格产生法可以针对不同应力梯度的区域形成不同质量和精度的网格,从而可以保证有限元结果的准确性并节省存储空间和计算时间。在分区网格法的基础上,用ABAQUS(2000)通用软件分析X管节点在承受压力作用时的荷载和位移之间的关系,并得到X管节点所能承受的极限荷载大小。此外,通过对50个X管节点模型进行分析,研究几何参数以及材料参数对X管节点极限荷载的影响。     

Computer-aided porous scaffold design for tissue engineering using triply periodic minimal surfaces

Recently, computer aided geometric design of triply periodic minimal surfaces (TPMS) has received considerable attention in the area of computer aided nano design on account of its ability to efficiently construct a large number of complex surfaces. In this paper, a TPMS is described with periodic surfaces composed of simple trigonometric functions, thus enabling easy generation of TPMS for use in various mechanical, chemical, and physical applications. We first describe a TPMS with mesh surface using conventional marching cube algorithm. We then propose various related algorithms for generating complete solid model for various applications, ranging from thickened solid, through voxel solid, to complexshaped solid. The validity of this new technique is demonstrated for a variety of TPMSs, including the P, G, D, I-WP, F-RD, L, and I₂-Y** surfaces. Finally, a new control approach for pore size distribution in tissue scaffold design is presented based on the pore-making element composed of TPMS and conformal refinement of all-hexahedral mesh in order to show the practical applicability of the newly suggested modeling approach.     

Adaptive finite element solution for the heat conduction with a moving heat source

We have demonstrated that some of the parabolic type problems encountered in such branches of engineering as heat conductions with a moving source can be analyzed successfully by means of the finite element method. Adapted mesh generation technique is implemented for solving heat transfer involving a moving heat source so that small elements can be used in areas of large time rates of change of temperature. It has been adjusted to steep gradients of the solution with respect to the relatively large time interval. A program has been developed for the case of two-dimensional triangular elements, and algorithm is possessed a number of usual advantages that made solutions very divergent. Numerical results have shown that the adaptive gridding scheme is effective in localizing oscillations due to the sharp gradients or discontinuities in the solution. Furthermore, the numerical results near the region of moving source from the present method are under and over estimated the solution of traditional finite element method by almost 3% respectively. The several examples are given to illustrate the validity and practicality of the method. The results of various sample solutions are evaluated and discussed.     

有限元网格自动生成

有限元网格生成技术对有限元法的发展和工程应用效果关系重大。本文首先对当前诸多的有限元网格生成方法进行了归纳分析比较，探讨了有限元网格生成技术的发展趋势；介绍了我们开发的基于智能化和可视化技术的有限元网格自动生成系统。     

三维有限元网格自动生成典型方法与发展方向

经过对大量三维有限元网格自动生成算法文献的分析,对典型的三维有限元网格自动生成算法进行了归纳总结,同时总结了目前常用的网格优化方法,最后简述了三维有限元网格自动生成算法的发展趋势。     

基于新型快速收敛ES-FEM-T的三维固体黏弹塑性研究

虽然四面体网格具有强大的几何表征能力,但因其“过硬”特性而工程实践中较少采用。如何使四面体网格“变软”是目前数值计算研究重点。通过采用广义的应变光滑操作,对四面体网格采用一种新型基于四面体边的应变光滑方法(Edge-based smoothed finite element method of tetrahedron, ES-FEM-T),并将该方法拓展到三维固体中黏弹塑性材料分析中。数值算例表明：在相同的网格时,ES-FEM-T 计算效率要高于有限元和基于面光滑操作的有限元。由于该方法既继承四面体强大的几何表征能力,具有较好的计算效率和精度,具有广阔的工程运用前景。     

混合标架下宽斜齿轮三维接触有限元前处理技术

本文针对宽斜齿轮，采用混合标架，建立了轮齿在各个不同位置的啮合时的有限元网格自动生成的算法；并开发了模块化；结构化，参数化的前处理程序，只需输入齿轮基本参数，即可得到完整的轮齿三维接触有限元分析数据文件，本文程序使用方便，适于在工程设计推广使用。     

基于hypermesh的发动机零部件网格划分

使用hypermesh软件对发动机主要零部件进行网格划分。根据发动机不同零部件自身的结构特点,结合hypermesh软件提供的各种二维和三维的网格划分工具,总结出针对发动机气门、凸轮轴、曲轴、连杆、活塞、气缸盖、机体和油底壳的六面体、四面体及二维四边形网格划分的思路和方法,从而提高发动机主要零部件网格划分的效率和网格的质量。     

三维复杂零件修边线快速预示方法

为解决传统的修边线预示方法在三维复杂零件修边线求解过程中所存在的诸多困难,在一步逆成形法的理论基础上,提出一种以单元层的方式进行初始几何展开的方法,将需要翻边的网格按节点相邻单元关系逐层展开到三维凹模面上,采用滑动约束面的办法对上一步展开的网格进行光顺处理,来消除重叠或畸形网格,从而得到一步逆成形法所需的三维初始解网格,经过一步逆成形法的塑性迭代求解计算能够快速获得精确的三维复杂零件修边线.先选取一个带有翻边的零件预示出其修边线,用该修边线所确定的初始板料进行翻边成形过程仿真,成形模拟后零件的翻边高度与设计高度进行对比,误差满足要求,再选取一个典型的预示修边线的实例对该算法进行验证,模拟值与试验值相比较的结果同样满足工程实际要求,表明该算法具备了足够的求解精度并且可以处理复杂形状的零件.     

A novel meshing algorithm for dynamic finite element analysis

This paper describes a new algorithm to handle problems in dynamic finite element analysis and run-time simulation, where mesh re-generation or dynamic adjustment is required. Based on a concept called coded box cell (CBC) substitution, this algorithm can be applied to both initial mesh generation and dynamic mesh adjustment along the border zones of multiple primitives that form an entire model. During the initial mesh generation, appropriate labels are assigned to the nodes and the faces of each finite element. These labels are used to facilitate decision-making in dynamic mesh adjustment. A mapping technique is adopted to transform curved surfaces to plain surfaces for the ease of automatic mesh adjustment while still using the same algorithm. The results of a case study show that a finite element mesh can be adjusted dynamically and locally around its border zone; and the algorithm can be utilized effectively to simulate the thermal behavior of a device under real operating conditions.