Effects of Tuned Mass Damper on Fixed-Fixed 3D Nonlinear String Resting on Nonlinear Elastic Foundation
學年 104
學期 2
出版(發表)日期 2016-07-11
作品名稱 Effects of Tuned Mass Damper on Fixed-Fixed 3D Nonlinear String Resting on Nonlinear Elastic Foundation
著者 Wang, Yi-Ren; Wu, Li-Ping
著錄名稱、卷期、頁數 International Journal of Structural Stability and Dynamics 17(4), p.1750047
摘要 This paper studies the vibration of a nonlinear 3D-string fixed at both ends and supported by a nonlinear elastic foundation. Newton’s second law is adopted to derive the equations of motion for the string resting on an elastic foundation. Then, the method of multiple scales (MOMS) is employed for the analysis of the nonlinear system. It was found that 1:3 internal resonance exists in the first and fourth modes of the string when the wave speed in the transverse direction is a2≈101.5a2≈101.5 and the elasticity coefficient of the foundation is ky=9π4ky=9π4. Fixed point plots are used to obtain the frequency responses of the various modes and to identify internal resonance through observation of the amplitudes and mode shapes. To prevent internal resonance and reduce vibration, a tuned mass damper (TMD) is applied to the string. The effects of various TMD masses, locations, damper coefficients (gsgs), and spring constants (fsfs) on overall damping were analyzed. The 3D plots of the maximum amplitude (3D POMAs) and 3D maximum amplitude contour plots (3D MACPs) are generated for the various modes to illustrate the amplitudes of the string, while identifying the optimal TMD parameters for vibration reduction. The results were verified numerically. It was concluded that better damping effects can be achieved using a TMD mass ratio mD=0.3−0.5mD=0.3−0.5 located near the middle of the string. Furthermore, for damper coefficient gs=0.9gs=0.9, the use of spring constant fs=9−13fs=9−13 can improve the overall damping.
關鍵字 3D nonlinear string vibration;tuned mass damper (TMD);internal response;vibration reduction
語言 en
ISSN 1793-6764
期刊性質 國外
收錄於 SCI
通訊作者 Wang, Yi-Ren
國別 SGP
出版型式 ,電子版

機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/108159 )