期刊論文
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; S.Y. Chen |
單位 | |
出版者 | |
著錄名稱、卷期、頁數 | Journal of Sound and Vibration 430, p.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 | en_US |
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 | 是 |
國別 | GBR |
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/987654321/114954 ) |