頁籤選單縮合
題名 | Analysis of Large Deformation of a Nonprismatic Beam= |
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作者 | 黃新峰; 葉力榮; Hwang, Shin-feng; Yeh, Li-rong; |
期刊 | Taiwanese Journal of Mathematics |
出版日期 | 19990300 |
卷期 | 3:1 1999.03[民88.03] |
頁次 | 頁89-106 |
分類號 | 316 |
語文 | eng |
關鍵詞 | Bifurcation; Sturm comparison; Nonlinear eigenvalue problem; Nonlinear oscillation; |
英文摘要 | This paper studies the mathematical model that describes the deformation of a nonprismatic beam by its own weight. The nonprismatic beam is considered to be with circular or rectangular cross-section. We fix the density and hold an angle α at one end but free at the other end. The shape of the beam depends on the angle α, the density and the length to that of flexural rigidity. We analyze the bifurcation phenomena for the vertical case, α=π. Several numerical results are presented. |
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