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 en_US
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 CHN
公開徵稿
出版型式
出處 CNKI
相關連結

機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/112124 )