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題名 | 蜂巢芯複合夾心板之特殊單元模式分析 |
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作者姓名(中文) | 陳榮盛; 吳寶銓; |
作者姓名(外文) | |
書刊名 | 力學 |
卷期 | 9:3 1993.09[民82.09] |
頁次 | 頁231-240 |
分類號 | 440.2 |
語文 | chi |
關鍵詞 | 蜂巢芯; 複合夾心板; 米德蘭理論; 控制方程式; 剪瑣; Mindlin theoerm; Governing equation; Shear locking; |
中文摘要 | 本文採用Mindlin一階剪力變形理論,考慮心材在厚度方向的應變,配合變分法, 以導出控制方程式( governing equation )。其次引用 Prathap 和 Bhasham 所提之特殊 有限元素單元進行數值分析, 以避免剪鎖效應( shear locking )且以較少的自由度,達 到良好的精度。 換言之,面板部份係根據 Mindlin 理論,對 x,y,z 方向的位移場 u �諢A v �諢Aw �貑艦峇E節點元素, 垂直於中平面在 x,y 方向的旋轉角Φ x,Φ y 則採用六節 點元素;心材部份的位移場為線性,以連接兩面板中平面( midsurface )的節點位移表示 。 |
英文摘要 | In this paper, the Mindlin theorem and the strain of core in the direction of thickness is considered, and then the calculus variation method in introduced to derive the governing equation. The special finite element based on the Mindlin theorem is defined for the face sheet. The 9 node elements is used on the displacements u ��,v ��,w �� in the directions of x, y, z respectively, and the 6 node element is adopted on the rotation angles Φ x, Φ y in the directions of x and y which are perpendicular to the yz-plane and the xz-plane. The nodal displacement of the midsurface in the two-face sheet is applied to indicate the displacement of the core. Through this numerical analysis, a smaller degree of freedom is defined so as to avoid the shear locking and obtain a more accurate result. |
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