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題 名 | A Cubic-spline Contact Element for Frictional Contact Problems=建立一個點至三次曲線碰撞元素含磨擦力效應 |
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作 者 | 朱聖浩; | 書刊名 | 中國工程學刊 |
卷 期 | 21:2 1998.03[民87.03] |
頁 次 | 頁119-128 |
分類號 | 441.2 |
關鍵詞 | 有限元素; 三次連續曲線; 碰撞; 磨擦力; Finite element; Cubic spline; Contact; Friction; |
語 文 | 英文(English) |
中文摘要 | 本論文之主要目的在建立一個點至三次曲線之碰撞元素去做含磨擦力之碰撞問題 。對點至線之碰撞理論而言,其應力在垂直及切線方向於兩個元素間大多是不連續的。 這個缺點有時會使接近兩個碰撞元素交接處之碰撞分析變為不準確,或甚至當碰撞點越過兩 個元素時,經常無法得到收斂之碰撞分析。另外如果被碰撞物體之網格不夠密時,使用點至 線之碰撞元素會產生過大之誤差。 為了解決這個問題一個點至三次曲線之碰撞元素已被建立,每個元素含一個碰撞點及數個目 的點,然後用一個三次連續曲線去模擬這些目的點,而使元素間之垂直及切線方向成為連續 的。如此一個碰撞點可滑過數個目的曲線不只有相合之變位,更有連續之垂直及切線方向。 有限元素分析已証明使用本元素縱使應用較粗之有限元素網亦可準確地分析靜態的或動態的 大變位滑動問題。 |
英文摘要 | The main purpose of this paper is to develop a node-to-cubic-spline contact element for frictional contact problems. For node-to-line contact algorithms, the normal and tangent directions of contact stresses are usually discontinuous across two elements. This drawback sometimes causes inaccuracy of the contact analysis near the intersection point of the two target surfaces, or sometimes causes the divergence of the contact analysis when a contact node moves across two target surfaces. Moreover, if the mesh of the target surface is not fine enough, using node-to- line contact elements to model curved surfaces will cause errors. In order to overcome this drawback, a two-dimensional node-to-cubic-spline contact element is developed. Each element contains one contact node and a number of target nodes modeled by a cubic spline with continuous normal and tangent directions. A contact node can slide across several target lines with not only the compatible deformation but also the continuous normal and tangent directions. Numerical results demonstrate that the present cubic-spline contact element can simulate contact problems accurately even using a coarse mesh of the target body. |
本系統中英文摘要資訊取自各篇刊載內容。