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该算法适用于三角形线性等参元。The algorithm is available for linear triangular isoparametric elements.

本文研究洛兹空间型中的等参超曲面。In this thesis, isoparametric hypersurfaces in Lorentzian space forms are studied.

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目前普遍采用的传统等参元族对网格的曲边、直边畸变均十分敏感。Traditional isoparametric elements are usually sensitive to various curved or straight edge mesh distortion.

方法有限元分析中采用了1223个节点、764个八节点六面体等参元和3564个自由度。Methods 1223 nodes, 764 8-node hexahedron isoparametric elements and 3564 freedom degrees were used in FEM analysis.

本文利用张力样条函数，构造了一种十二节点张力等参有限单元。By Using the tension spline function, a type of twelve-nodes tension isoparametric finite element has been constructed.

推导了八节点六面体等参单元的应变矩阵、刚度矩阵，对该单元的位移解收敛性和畸变敏感性进行了分析。In this paper, strain and stiffness matrix of isoparametric element with eight nodes and hexahedron are derived in detail.

系统的研究了等参数线法的刀具轨迹技术方式，并通过后置处理生成了合理的NC代码。Researching the method of isoparametric to creat the tool path, and through post-processing generate a reasonable NC code.

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采用奇异单元和等参单元混合分网的方式建立了齿根裂纹的有限元模型。A finite element model with crack in gear roots was established with mixed meshing of singularity and isoparametric elements.

本文对土体采用邓肯-张非线性弹性模型编制了四节点等参元有限元程序DDKEPL。In this paper, four-nodal isoparametric element program DDKEPL by using Duncan's nonlinear-elastic model for soil is presented.

根据线性边界力状态下的广义协调条件，对任意不规则四边形单元构造出一种广义协调等参元。A new generalized conforming isoparametric element is formulated to arbitrary irregular quadrilateral for plane stress analysis.

本文采用退化的等参壳元分析了复合材料板、壳结构的几何非线性特性。Applying degenerate isoparametric element, this paper has studied geometrical nonlinear response of composite plates and shells.

三维有限元素的种类很多，常用的有四面体元素、六面体元素及等参数体元。There are many kinds of finite elements used in three dimentional problems, such as tetrahedron, hexahedron, and isoparametric elements.

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采用三维有限厚度带球面键槽接缝单元模拟拱坝横缝，推导了球面键槽的接触物理方程，探讨了球面键槽的最优中心角。A 3-D isoparametric joint element with spherical surface key grooves of finite thickness is used to simulate transverse joints of arch dam.

由于等参元不存在逆变换的显式，所以在有限元分析的列式中都回避等参元逆变换。There is no explicit formulation of inverse mapping about the isoparametric element, so inverse mapping is avoided in finite element analysis.

画高次等参单元彩色云图的关键是计算单元覆盖像素的自然坐标。The key of plotting colored patterns of high order isoparametric elements is to calculate the nature coordinates of pixels spanned by elements.

本文提出分区样条等参元方法分析加肋轴对称组合壳在静水外压作用下的应力及稳定性。A sub region isoparametric spline element method is presented for the stress and stability analysis of ring stiffened combined shell of revolution.

方法采用三维有限元法测量受不同方向的后牵引力的鼻上颌复合体三维有限元模型。Methods A three-dimensional finite element model of the nasomaxillary complex was created, consisting of 1638 isoparametric elements and 1827 nodes.

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二次细分网格位移边界值采用等参逆变换法由一次网格的计算结果插值得到。软硬相间岩层中地下厂房稳定性分析采用弹塑脆性理论。The displacement boundary of the small model used the result of the large model, which was interpolated with numerical inverse isoparametric mapping.

为试图解决此一问题，我们采用高阶的三维等参元素来离散复杂的叶片形状。In attempt to solve these problems, we applied the high order 3-dimensional isoparametric elements for describing the complex configuration of blades.

本文在双标量位法计算三维恒定磁场的理论基础上，引入等参元有限元法。In this paper the isoparametric elements for 3D magnetostatic field problems on the basis of two scalar potentials finite element method is introduced.