教師資料查詢 | 類別: 會議論文 | 教師: 王怡仁 Wang Yi-ren (瀏覽個人網頁)

標題:Nonlinear effects on moving string rested on nonlinear elastic foundation
學年106
學期1
發表日期2017/09/07
作品名稱Nonlinear effects on moving string rested on nonlinear elastic foundation
作品名稱(其他語言)
著者Yi-Ren Wang, Bo-Ruei Lai and Shin-Ting Huang
作品所屬單位
出版者
會議名稱2017 International Conference in Aerospace for Young Scientists
會議地點Beihang University, Beijing, P.R.China
摘要This study examined vibrations in a conveying nonlinear string rested on a nonlinear elastic foundation. The Hamilton's principle was employed to derive the equations of motion for the string system. This nonlinear system was analyzed by using the method of multiple scales. The Fixed-point plots were used to study the frequency responses of the various modes and to verify the existence of internal resonance. The stability analysis of this system was studied by using Floquet theory. We applied the fourth-order Runge-Kutta method to obtain the Floquet transition matrix of the system. The Floquet multipliers (F.M.) was also used to determine the stability criteria of this system. The string system's stability range was vanished when the normalized string conveying speed went up to 0.12. Obviously, nonlinear characteristics play important role in the conveying string systems.
關鍵字Nonlinear dynamics, String vibration, Internal resonance
語言英文(美國)
收錄於
會議性質國際
校內研討會地點
研討會時間20170907~20170908
通訊作者
國別中國
公開徵稿
出版型式
出處CNKI
相關連結
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