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題 名 | Localization Phenomena in Structures with Cyclic Symmetry=週期性對稱結構之局部振動現象 |
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作 者 | 吳孝先; 陳炘鏞; 崔永晉; | 書刊名 | 力學 |
卷 期 | 11:3 1995.09[民84.09] |
頁 次 | 頁195-203 |
分類號 | 440.15 |
關鍵詞 | 局部振動; 週期性對稱結構; 弱藕合; Localization; Structure with cyclic symmetry; Weak coupling; |
語 文 | 英文(English) |
中文摘要 | 對於一些週期性對稱結構,結構之振動往往會侷限在一特定的範圍,而其他部份 僅做微小的振動,這種現象稱為局部振動現象。本文以週期性對稱結構之簡化模型為例子, 來探討此一現象發生的原因。 由本文的結果可以知道,週期性對稱結構之局部振動現象主要是由結構之藕合強度和鄰近子 結構之變異差的比值決定。在自由振動部份,由微擾法得知,當比值愈小時,局部振動現象 愈明顯;而比值大時,則沒有此種現象。除此之外,在此一現象發生的同時,結構之共振頻 率亦有伴隨變異值增大而向外擴張的特性。在外力激振部份,藉由一衝擊力的作用來探討在 時域上週期性對稱結構之暫態響應,結果發現此種現象確實存在。 |
英文摘要 | The localization phenomena on the periodic structures with cyclic symmetry are investigated in this paper. A simple model of a blade assembly with one structure mode per blade is assumed. A perturbation approach leads to a physical insight into the effects of mistuning and the locatization phenomena can be explained. The results indicate that the localization phenomena depend primarily on the ratio of coupling strength to mistuning strength. For small ratio, i.e., weak coupling, the mistuned system dramatically changes the dynamical behavior of the structure and some of the natural modes of vibration may become confined to a local region. The eigenvalue loci veering also occurs with the localization phenomena. On the other hand, for strong coupling with large ratio, the mistuned system behaves like the original tuned system without localization phenomena. Furthermore, the response due to impact at the first blade are also studied and the mode localization are observed as expected. |
本系統中英文摘要資訊取自各篇刊載內容。