Internal resonance analysis of a fluid-conveying tube resting on a nonlinear elastic foundation
學年 108
學期 2
出版（發表）日期 2020-04-20
作品名稱 Internal resonance analysis of a fluid-conveying tube resting on a nonlinear elastic foundation
作品名稱（其他語言）
著者 Yi-Ren Wang; Y. H. Wei
單位
出版者
著錄名稱、卷期、頁數 The European Physical Journal Plus 135, 364
摘要 This study used a fluid-conveying nonlinear beam and a nonlinear spring to simulate the vibration of a fluid-conveying tube placed on an elastic foundation. The centripetal force and tangential force of fluid acting on the tube wall were considered. In this paper, Hamilton’s principle is used to derive the equation for the nonlinear flow-structure coupled motion, where the method of multiple scales is used to derive the frequency response of each mode under the fixed point (steady state), and the amplitude of each mode is used to examine internal resonance. This study added (tuned mass dampers) TMDs of different masses, spring constants and damping coefficients at different locations in the system to observe the effect of the shock absorber in avoiding the internal resonance of the flow-structure coupled system and reducing the vibration of the system. Poincaré map, maximum amplitude contour plots, and basin of attraction are used to analyze and compare the system to verify the correctness of our theory. The stability of the system is analyzed by changing the flow velocity of the fluid. The results show that under a certain combination of elastic foundation spring constants and flow speeds, the 1:3 internal resonance between the first and third modes of the main system will occur. In addition, the stability range of any case will increase significantly after TMD is added, indicating that TMD plays an important role.
關鍵字 Internal Resonance;Nonlinear vibration;Multiple scales;Tuned mass damper(TMD)
語言 en_US
ISSN 2190-5444
期刊性質 國外
收錄於 SCI
產學合作
通訊作者 Yi-Ren Wang
審稿制度 是
國別 DEU
公開徵稿
出版型式 ,電子版
相關連結

機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/118646 )

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