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題名 | 有限元素法應用於橢圓球體之振動分析=Vibration Analysis of Ellipsoids Using Finite Element Method |
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作者 | 程安邦; Cherng, An-pan; |
期刊 | 宜蘭技術學報 |
出版日期 | 19990600 |
卷期 | 2 1999.06[民88.06] |
頁次 | 頁1-10 |
分類號 | 446.874 |
語文 | chi |
關鍵詞 | 有限元素法; 振動模組; 橢圓球體; Finite element method; Vibration modes; Ellipsoid of revolution; |
中文摘要 | 本文以ANSYS有限元素分析軟體對具軸對稱之橢圓球體,包括實心體與中空體, 進行彎曲模組之振動分析。由於橢圓球體為橢圓截面繞其長軸旋轉而得,因此可以預測在短 軸上將有重複模組出現。本文探討長短軸比例改變對模組出現的順序、自然頻率分佈等之影 響,同時也將中空橢圓球體的模組與實心體相比較,歸納出其間的關係。模擬的結果顯示實 心體的基本振形為長軸上的自由樑第一彎曲振形,中空體的基本振形為短軸截面上相對曲面 的反相位壓擠振形。就自然頻率的分佈而言,中空體的基本模組對厚度或質量比的變化最為 敏感,而實心體的基本模組對長短軸比的變化最為敏感。由於實心體與中空體的模組順序與 頻率間的差別很明顯,因此本文研究的結果將有助於預測與分辨二者的振動行為。 |
英文摘要 | This article presents a series of finite element analysis on the vibration of ellipsoids with various geometric configurations, such as axis ratio and solid/hollow volumes. An ellipsoid of revolution, abbreviated as an ellipsoid in this paper, is an ellipse revolving with respect to its long axis. Due to this axi-symmetric geometry, there exist repeated modes on the circular cross section where the short axes reside. The simulation results of this research show that the fundamental mode shape of a solid ellipsoid resembles the first bending mode of a free-free string or beam, while that of a hollow ellipsoid behaves as a squeezing mode along the short axis. When considering the distributions of natural frequencies, it is found that the fundamental mode of the hollow ellipsoid exhibits high sensitivity to the thickness of the body, and that of the solid ellipsoid to the axis ratio. In conclusion, the order of appearance and the sensitivity of frequency distributions are quite different between the two sets of ellipsoids. Methods of distinguishing solid ellipsoids from hollow ones using vibration modes may be further proposed based on the results of this work. |
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