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单元形函数
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  element shape function
     In this paper, the non-discontinuous displacement field in structure allowing incorporation of discontinuous mode intra-element is established by using finite element shape function as partitions of unity, and the displacement jump across a crack is presented by extra degrees of freedom at enriched node.
     本文以单元形函数作为单位分解函数,位移间断用富集节点的附加自由度表示,建立了允许单元内部位移非连续的统一位移场函数。
短句来源
     The identification of moving loads can be used to investigate the fatigue or damage mechanism of complex bridge structure under the repeated action of moving vehicle loads. In this paper,the structural model of complex bridge is established using the finite element method,and to increase the computation accuracy,the quintic Hermitian interpolating function is adopted as element shape function of the load-bearing main girder.
     为研究桥梁结构在移动车辆荷载反复作用下的疲劳损伤机理,利用有限元法建立复杂桥梁结构模型,同时为提高计算精度,承载主梁单元形函数采用5次Hermitian插值函数,并得到桥梁的离散振型与模态参数;
短句来源
  shape functions of elements
     Because of that the method presented in the paper doesn't need discretize the unknown functions distributed on virtual boundary with finite elements,not only it can effectually overcome the shortcoming of common discretized methods that it can't be still available in higher_frequency range due to the shape functions of elements being composed of lower order polynomial functions,but also good accuracy and efficiency can be achieved.
     该方法由于不需要将分布在虚拟边界上的未知函数进行单元分散 ,不仅克服了边界元法或虚拟边界元法中由于单元形函数是由低阶多项式函数构成导致其结果只适用于较低频率范围的不足 ,而且具有很高的计算精度和效率。
短句来源
  “单元形函数”译为未确定词的双语例句
     Application of Taylor Expansion to Construction of a New Shape Function in Meshless Method
     泰勒展开公式在无单元形函数构造中的应用
短句来源
     The anisotropic beam theory used includes the effects of the cross section warping and coupling deformations on the stiffness of cross section and on the dynamic properties of the beam. The shape function of beam element is taken as the static solution of beam, which is helpful to the improvement of accuracy. The computed frequencies of a box beam and a helicopter rotor blade are in good agreement with the reference values, which implies that the present method is correct.
     给出了包含陀螺力影响的旋转梁耦合振动问题的有限元解法,使用的各向异性梁理论考虑了截面翘曲和耦合变形对截面刚度以及对动力特性的影响.单元形函数取为各向异性梁的静态解,以利于提高计算精度.箱形截面旋转梁和某直升机桨叶耦合振动频率的计算结果同参考值相吻合,说明本文方法是有效的
短句来源
     The shape function matrixes and linear strain of the 16 degree of freedom beam element are analyzed, and the linear elastic element stiffness matrix, geometrical stiffness matrix and the nodal equivalent load matrix are deduced.
     在16自由度梁单元形函数矩阵和应变分析的基础上,推导了16自由度梁单元的线弹性刚度矩阵、线弹性几何刚度矩阵和单元结点等效载荷列阵。
短句来源
     A new meshless shape function is constructed.
     构造了新的无单元形函数.
短句来源
     A new element-free shape function is aduanced based on Taylor expansion.
     通过泰勒展开提出一种新的无单元形函数.
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  相似匹配句对
     A new meshless shape function is constructed.
     构造了新的无单元函数.
短句来源
     Reconstructive meshless Galerkin shape function
     重构的无单元伽辽金函数
短句来源
     Interpolating Shape Function of Meshless Method Based on Taylor Expansion Theory and Its Application
     基于Taylor展开的无单元插值函数及应用
短句来源
     Application of Taylor Expansion to Construction of a New Shape Function in Meshless Method
     泰勒展开公式在无单元函数构造中的应用
短句来源
     A new technique of shape function construction with element-free Galerkin method
     无单元伽辽金法新函数技术
短句来源
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Taking into consideration of the effect of the liner, reinforcing bar andprestressed reinforcement, the elastic solution of a PCPVs by isoparametricfinite element method is discussed in this paper. Requirements for shapefunction to meet convergence criteria and isoparametric transformation arestudied together with the general method in establishing shape function ofdifferent elements. Formulas are derived in respect to the contribution of theeffect of the liner and reinforcement to the stiffness matrix of a...

Taking into consideration of the effect of the liner, reinforcing bar andprestressed reinforcement, the elastic solution of a PCPVs by isoparametricfinite element method is discussed in this paper. Requirements for shapefunction to meet convergence criteria and isoparametric transformation arestudied together with the general method in establishing shape function ofdifferent elements. Formulas are derived in respect to the contribution of theeffect of the liner and reinforcement to the stiffness matrix of a three-dimen-sional body element. Peculiarities of the computer program, CHFEM, for theanalysis of the three-dimensional isoparametric element are briefed. Finally,through practical example a comparison is made for the calculated valueswith the measured.

本文考虑钢衬、预应力钢筋和普通钢筋的影响,用等参有限元位移法解算预应力混凝土压力容器的弹性问题。研究了形函数满足收敛准则和实现等参变换的条件,以及构成各类单元形函数的一般通用方法。其次,考虑钢衬和钢筋的影响,分别导出了它们对三维体单元刚度矩阵贡献的公式。简单介绍了三维等参元弹性应力分析通用程序(CHFEM)的特点。最后通过实例,对理论计算值和实验结果进行了比较。

In this paper the properties of the interpolation matrices formed from the shapefunctions of the various isoparametric element methods are studied.A theorem of multi-plication of these matrices is proposed which makes it very easy to calculate the inversesof these matrices and to extrapolate from the function values at the inner points of theelement to its nodal points.The formulas presented here are correct and suitable for usefor the isoparametric elements with any number of nodal points and dimensions,includingthose...

In this paper the properties of the interpolation matrices formed from the shapefunctions of the various isoparametric element methods are studied.A theorem of multi-plication of these matrices is proposed which makes it very easy to calculate the inversesof these matrices and to extrapolate from the function values at the inner points of theelement to its nodal points.The formulas presented here are correct and suitable for usefor the isoparametric elements with any number of nodal points and dimensions,includingthose known as the smooth matrices presented by Professor E.Hinton et al.,and so farstill in use in the finite element method,which is an example of our formulas appliedto the case of the linear isoparametric elements.

本文研究了在有限元计算中各种等参数单元的形函数按一定规律所构成的矩阵的性质.提出了关于这种矩阵的乘法定理,大大简化了这种矩阵的求逆方法,使我们可以把单元内一些点上的函数值方便地外插到单元节点上.本文的公式适用于任意维数和节点数的等参数单元,其中包括至今仍广泛应用的由E.Hinton 教授等人提出的光滑矩阵,它是本文公式应用于线性等参数单元的一个特例.

A general modified isoparametric element formulation is presented.It is the most efficient method that one is developing shape function of variformal elements. It suites de'veloping general modified isoparametric element progra-mming. This paper offer an improved formula for computing surface force yet. Giving numerical examples demonstrate the eff-ect of the modified isopa rametric element

本文提出了一个通用修改等参元公式,为开发各种各样单元的形函数,提供了一个最有效的方法,并且十分适于开发修改等参元的通用程序;文章还提出了计算表面力的改进公式;所给数值例题,说明了修改等参元的效能。

 
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