文学章, 龙驭球, 何放龙. 带旋转自由度的广义协调三角形膜元[J]. 工程力学, 2002, 19(6): 11-15.
引用本文: 文学章, 龙驭球, 何放龙. 带旋转自由度的广义协调三角形膜元[J]. 工程力学, 2002, 19(6): 11-15.
WEN Xue-zhang, LONG Yu-qiu, HE Fang-long. THE GENERALIZED CONFORMING TRIANGULAR MEMBRANE ELEMENTS WITH ROTATIONAL DEGREE OF FREEDOM[J]. Engineering Mechanics, 2002, 19(6): 11-15.
Citation: WEN Xue-zhang, LONG Yu-qiu, HE Fang-long. THE GENERALIZED CONFORMING TRIANGULAR MEMBRANE ELEMENTS WITH ROTATIONAL DEGREE OF FREEDOM[J]. Engineering Mechanics, 2002, 19(6): 11-15.

带旋转自由度的广义协调三角形膜元

THE GENERALIZED CONFORMING TRIANGULAR MEMBRANE ELEMENTS WITH ROTATIONAL DEGREE OF FREEDOM

  • 摘要: 应用广义协调元理论,通过增加内参位移的方法,构造了两个具有旋转自由度的三角形膜元。本文单元能通过任意三角形分片检验,符合连续介质力学关于旋转自由度的定义,并且没有引入刚性转角假设。数值算例表明其具有较高的计算精度。

     

    Abstract: Based on the theory of generalized conforming element, two triangular membrane elements with rotational degree of freedom are developed by introducing internal parameters into its displacement field. The elements are proved to be convergent by passing the patch test for any geometry, without the hypothesis of the rigid rotation of corner node. The rotational definition of the elements is the same as that of continuum mechanics. It is shown that numerical results based on the elements have good accuracy.

     

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