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1.
非线性有限元的若干基本问题 总被引:4,自引:0,他引:4
本文介绍了非线性有限元中的若干基本问题。其中包括有关应变、应力和非线性平衡方程的一些基本概念,基于不同非线性广义变分原理的位移模式、杂交模式和拟协调模式几何非线性有限元及其在壳体屈曲问题中的应用等。 相似文献
2.
Based on the strain formulation of the quasi-conforming finite element, displacement functions are constructed which have
definite physical meaning, and a conclusion can be obtained that the coefficients of the constant and the linear strain are
uniquely determined, and the quasi-conforming finite element method is convergent to constant strain. There are different
methods for constructing the rigid displacement items, and different methods correspond to different order node errors, and
this is different from ordinary displacement method finite element.
Contributed by TANG Li-min
Biography: HE Dong-sheng (1964-) 相似文献
3.
给出了一个对复合材料压电层合梁进行数值分析的高精度压电层合梁单元。基于Shi三阶剪切变形板理论的位移场和Layer-wise理论的电势场,用力-电耦合的变分原理及Hamilton原理推导了压电层合梁单元列式。采用拟协调元方法推导了一个可显式给出单元刚度矩阵的两节点压电层合梁单元,并应用于压电层合梁的力-电耦合弯曲和自由振动分析。计算结果表明,该梁单元给出的梁挠度和固有频率与解析解吻合良好,并优于其它梁单元的计算结果,说明了本文所给压电层合梁单元的可靠性和准确性。研究结果可为力-电耦合作用下压电层合梁的力学分析提供一个简单、精确且高效的压电层合梁单元。 相似文献
4.
A type of 3 node triangular element is constructed by the Quasi-conforming method, which may be used to solve the equation
of a type of inverse problem of wave propagation after Laplace transformation Δu−A
2
u=0. The strains in the element are approximated by an exponential function and the string-net function between neighbouring
elements is approximated by one dimensional general solution of the equation. Furthermore the strain field satisfies the equation,
and therefore in the derivation of the element formulation, no shape function is needed. In this sense, it is a kind of hybrid
element. Compared with the ordinary linear triangular element, the new one features higher precision with coarse meshes. Some
numerical tests are presented.
The project is supported by the National Natural Science Foundation of China. 相似文献
5.
In this paper, unconventional quasi-conforming finite element approximation for a fourth order variational inequality with displacement obstacle is considered, the optimal order of error estimate O(h) is obtained which is as same as that of the conventional finite elements. 相似文献
6.
The problem of quick analysis using exact geometry data was proposed by Hughes et al. and the isogeometric analysis framework was introduced as a solution. In this letter, the exact geometry concept is combined into the quasi-conforming framework and a novel method, i.e., the exact geometry based quasi-conforming analysis is proposed. In present method the geometry is exactly described by non-uniform rational B-spline bases, while the solution space by traditional polynomial bases. Present method combines the merits of both isogeometric analysis and quasi-conforming finite element method. In this letter Euler-Bernoulli beam problem is solved as an example and the results show that the present method is effective and promising. 相似文献
7.
The nonlinear quasi-conforming FEM is presented based on the basic concept of the quasiconforming finite element. First, the
incremental principle of stationary potential energy is discussed. Then, the formulation process of the nonlinear quasi-conforming
FEM is given. Lastly, two computational examples of shells are given. 相似文献
8.
9.
非线性多类变量有限元的进展 总被引:2,自引:0,他引:2
本文介绍了非线性多类变量有限元,即非线性的杂交元和拟协调元近几年来的发展及其变分基础. 相似文献
10.
采用拟协调元方法推导了等腰梯形薄壳元的显式几何刚度阵,用于组合结构屈曲分析的计算,结果表明,这种单元的几何刚度阵收敛快、精度好。 相似文献