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題名 | A Geometrically Nonlinear Formulation for a Quadrilateral Thin Shell Finite Elelment=幾何非線性四邊形薄殼元素推導 |
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作 者 | 吳以正; 邱煌銘; 陳慶輝; | 書刊名 | 力學 |
卷期 | 7:1 1991.03[民80.03] |
頁次 | 頁33-40 |
分類號 | 440.13 |
關鍵詞 | 元素; 四邊形; 非線性; 幾何; 薄殼; |
語文 | 英文(English) |
中文摘要 | 本文旨在以張量數學推導一含48個自由度,四節點之四邊形薄殼元素,元素所須之關係式包括:殼之控制方程式、幾何性質描述、形狀函數、勁度矩陣、..... 等,均有完整之敘述。本元素可表現幾何非線性效應,並適用於不規則形狀及變曲率之殼結構。元素之變位及幾何函數可以有不同之階次,極易與電腦輔助繪圖系統聯結。本文最後並計算數種殼結構,考慮不同形狀的元素網之影響。其結果顯示本元素良好之適用性。 |
英文摘要 | A fully tensor-oriented 48-d.o.f. skewed quadrilateral thin shell finite element, including the effect of geometrical nonlinearity, is formulated. The tensor notation is used not only in describing the shell equations and geometric properties but also in the setup of the shape functions, geometric derivatives, stiffness matrix, and computer code. This allows for the treatment of shells with irregular shapes and variable curvatures. The displacement and geometric functions may be of different orders. Skewed element meshes with various distortion angles are used to study the effect of the distortion angles on the accuracy of the results and to demonstrate the versatility of the present element. All results are compared with alternative available solutions including those obtained using regular rectangular meshes. |
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