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1.
基于四叉树法的有限元网格自动生成及凝聚方法 总被引:1,自引:0,他引:1
本文介绍了用于有限元网格自动划分的四叉树方法及相应的非均匀网格的生成方法──网格凝聚法。此方法可以用于处理任意形状的单连通或多连通的平面结构,其边界以折线及二次曲线描述。相应的网格生成器用户界面友好,极少需要人工干预。所生成的单元大多为四边形元,在边界处理时用了少量三角元,所有单元性态良好。非均匀网格可以实现多处、多重加密。 相似文献
2.
本文介绍了用于有限元网格自动划分的四叉树方法及相应的非均匀网格的生成方法--网要各凝聚法,此方法可以用于处理任意形状的单连通或多连通的平面结构,其边界以折线及二次曲线描述。相应的网格生成器用户界面友好,极少需要人工干预。所生成的单元大多为四边形元,在边界处理时用了少量三角元,所有单元性态良好,非均匀网格可以实现多处,多重加密。 相似文献
3.
本文对各向异性体平面问题采用叠加原理,建立了Fredholm第二类积分力程组,解决了各向异性体应力边值和多连通域问题,通过对方程的数值求解,获得了各向异性矩形板含圆形孔口和无限大平面含双圆孔问题的数值解,可供参考。 相似文献
4.
本文由边界元方法出发,将适用于单连通空间Laplace问题的边界积分方程推广到带环量的多连通空间中,并对离散边界积分方程中的矩阵元积分式解析化,以避免在翼型尾缘处尖点附近直接利用数值积分计算矩阵元导致的数值振荡,对于以翼型表面压力分布为收敛目标的反设计问题,利用Newton- Raphson迭代求解满足该目标压力的非线... 相似文献
5.
在弹性动力学问题中,弹性波对孔的绕射问题是一个重要课题.单个圆孔,椭圆孔为弹性波绕射问题早已解决,任意形孔为弹性波绕射问题也已基本解决.但是多连通问题,特别是多个非圆孔为弹性波绕射的问题,目前作者尚未见到比较好的处理办 相似文献
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具有孔洞的双周期热弹性平面问题的复势 总被引:4,自引:0,他引:4
首先论述了针对调和变温场的热弹性平面问题的复变函数方法,给出了受调和变温时有限
多连通域中复势的一般表达式. 然后基于已知实部的双周期解析函数及其原函数的表示和多
值性分析,导出了双周期调和变温下具有双周期分布孔洞物体平面弹性问题的两个复势函数
的一般公式,由此论证了两种特殊情形下物体的温度应力为零. 相似文献
8.
压电材料中心裂纹问题 总被引:6,自引:3,他引:3
以电位移法向分量及电势连通过裂纹面为边界条件,对均匀电材料的裂纹问题及两种不同压材料界面裂纹问题进行了系统分析,得到了含中心裂纹无限大体封闭形的全场解。证实了裂纹引起的非均匀扰动场只信赖于外加场而外加电场无关。 相似文献
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边界处正交的曲线网格生成技术合理调节因子选取的研究 总被引:4,自引:1,他引:4
指出了 Thompson的曲线网格生成方法中调节因子的问题所在 ;借助于势流理论中的流线与势线正交的物理机理 ,导出了一种新的调节因子的表达式 ,并给出了曲线网格生成实例。实例检验表明 ,该调节因子能够对复杂边界的单连通域或多连通域的水域生成理想的曲线网格 ,即边界处网格正交 ,内部网格分布能够适应物理量场的变化情形。 相似文献
11.
Methods and results of studies of the three-dimensional viscoplastic stress–strain state of engineering structures under thermomechanical loading are presented. The following classes of thermoviscoplastic problems are considered: axisymmetric problems, nonaxisymmetric problems for bodies of revolution, three-dimensional problems for bodies of arbitrary shapes, and three-dimensional problems for anisotropic bodies of revolution 相似文献
12.
摩擦接触弹塑性分析的数学规划法 总被引:4,自引:0,他引:4
本文提出摩擦接触弹塑性分析的数学规划法,是弹性接触问题解法的推广,使之能处理比例加载时的塑性效应。利用所导出接触问题总刚度阵的逆,结合参变量线性互补公式,仍可消去由接触单元而引入的惩罚因子。于是,可以获得一个弹塑性问题、弹性接触和弹塑性接触问题的有限元参数二次规划法模型。所选的几个实例说明了方法的实用性。 相似文献
13.
V. A. Ostapenko 《Archive of Applied Mechanics (Ingenieur Archiv)》2007,77(5):313-324
Initial boundary value problems are considered for rods that change length over time. These problems are transformed to problems
about rods with mobile ends. A special method which allows one to obtain exact solutions of such problems is developed. This
method is a generalization of a method of reflections for rods and strings of constant length. As an application of this class
of problems, the hoisting of ropes in mining lifts, including their problems, are considered. Exact expressions for displacements
in rods of variable length are obtained. The same results can be applied to cross oscillations of strings of variable length. 相似文献
14.
戴天民 《应用数学和力学(英文版)》2007,28(2)
Some consistency problems existing in continuum field theories are briefly reviewed.Three arts of consistency problems are clarified based on the renewed basic laws for polar continua.The first art discusses the consistency problems between the basic laws for polar continua.The second art discusses the consistency problems between the basic laws for polar continua and for other nonpolar continua.The third art discusses the consistency problems between the basic laws for micropolar continuum theories and the dynamical equations for rigid body.The results presented here can help us to get a deeper understanding the structure of the basic laws for various continuum theories and the interrelations between them.In the meantime,these results obtained show clearly that the consistency problems could not be solved in the framework of traditional basic laws for continuum field theories. 相似文献
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Yiantai Hu Yuying Huang Lingzhi Cheng Siping Li Weifang Zhong 《Mechanics Research Communications》1998,25(2):863
The problem of collinear periodic elliptic holes in an anisotropic medium is examined in this paper. By means of Stroh formalism and the conformal mapping method, explicit full domain solutions for the periodic hole problems are presented. The solutions are valid not only for plane problems but also for antiplane problems and the problems whose implane and antiplane deformations are coupled. The stress concentration around the holes is analysed. 相似文献
17.
V. F. Zhuravlev 《Nonlinear Oscillations》2011,13(4):558-568
We consider linear boundary-value problems for operator equations with generalized invertible operators in Banach spaces that
have bases. Using the technique of generalized inverse operators applied to generalized invertible operators in Banach spaces,
we establish conditions for the solvability of linear boundary-value problems for these operator equations and obtain formulas
for the representation of their solutions. We consider special cases of these boundary-value problems, namely, so-called n- and d-normally solvable boundary-value problems as well as normally solvable problems for Noetherian operator equations. 相似文献
18.
丁协平 《应用数学和力学(英文版)》2005,26(5):563-570
IntroductionLetX ,YbetwotopologicalspacesandZbeanonemptyset.LetF∶X×X→ 2 Z,A∶X→ 2 XandC∶X→ 2 Zbeset_valuedmappingswhere2 ZdenotesthefamilyofallsubsetsofZ . Thegeneralizedvectorquasi_equilibriumproblemofType (Ⅰ ) (inshort,GVQEP(Ⅰ ) )istofind ^x∈Xsuchthat^x∈A( ^x)andF( ^x ,z) C( ^x) , z∈A( ^x) . ( 1 ) Thegeneralizedvectorquasi_equilibriumproblemofType (Ⅱ ) (inshort,GVQEP(Ⅱ ) )istofind ^x∈Xsuchthat^x∈A( ^x)andF( ^x ,z) C( ^x) , z∈A( ^x) . ( 2 ) … 相似文献
19.
戴天民 《应用数学和力学(英文版)》2007,28(2):163-172
Some consistency problems existing in continuum field theories are briefly reviewed. Three arts of consistency problems are clarified based on the renewed basic laws for polar continua. The first art discusses the consistency problems between the basic laws for polar continua. The second art discusses the consistency problems between the basic laws for polar continua and for other nonpolar continua. The third art discusses the consistency problems between the basic laws for micropolar continuum theories and the dynamical equations for rigid body. The results presented here can help us to get a deeper understanding the structure of the basic laws for various continuum theories and the interrelations between them. In the meantime, these results obtained show clearly that the consistency problems could not be solved in the framework of traditional basic laws for continuum field theories. 相似文献
20.
Walter Noll 《Journal of Elasticity》2011,105(1-2):107-116