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

標題:Damping effects of linear and nonlinear tuned mass dampers on nonlinear hinged-hinged beam
學年107
學期1
出版(發表)日期2018/09/15
作品名稱Damping effects of linear and nonlinear tuned mass dampers on nonlinear hinged-hinged beam
作品名稱(其他語言)
著者Yi-Ren Wang, C.K. Feng and S.Y. Chen
單位
出版者
著錄名稱、卷期、頁數Journal of Sound and Vibration, Vol. 430, pp. 150-173
摘要This study analyzes the vibration reduction of a tuned mass damper (TMD) applied to a hinged-hinged nonlinear Euler-Bernoulli beam. We compare the effects of linear and nonlinear tuned mass dampers (LTMD/NLTMD) and obtain results undiscovered in previous studies. We analyze the frequency responses (fixed points) of the system using the method of multiple scales (MOMS) and obtain analytical solutions for the NLTMD in the frequency and time domains using Dimensional Analysis and the Perturbation Method. The present study shows that when the damping coefficient ( ), TMD mass (mD), TMD initial displacement (A) and nonlinear spring constant ( ) of the NLTMD fulfill a function relationship, the damping and nonlinear elastic effects cancel each other out, and the nonlinear damping frequency coincides with the linear natural frequency. With a fixed damping coefficient and an LTMD or NLTMD at a fixed position, optimal damping is achieved when the product of the TMD mass and spring constant are at fixed values. Finally, we use the Floquet transition matrix of the system and Floquet multipliers (F.M.) to create the basin of attraction (BOA) and analyze the stability of the system under aerodynamic forces.
關鍵字Nonlinear vibration, Euler-Bernoulli Beam, Tuned mass damper (TMD), Method of multiple scales (MOMS).
語言英文(美國)
ISSN
期刊性質國外
收錄於SCI;EI;
產學合作
通訊作者Yi-Ren Wang
審稿制度
國別英國
公開徵稿
出版型式,電子版
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