教師資料查詢 | 類別: 期刊論文 | 教師: 李家瑋 JIA-WEI LEE (瀏覽個人網頁)

標題:Animations and Properties of Three SDOF Damping Systems
學年107
學期1
出版(發表)日期2018/08/01
作品名稱Animations and Properties of Three SDOF Damping Systems
作品名稱(其他語言)
著者Jeng-Tzong Chen; Jia-Wei Lee; Shing-Kai Kao; Sheng-Kuang Chen
單位
出版者
著錄名稱、卷期、頁數Journal of Engineering Mechanics 144(8), 04018062(11 pages)
摘要Three models—the viscous damping model, the new hysteretic damping model, and the Coulomb damping model—are studied in this paper. For the viscous damping and the Coulomb damping models, the free vibration problem is reviewed and demonstrated by animations. Regarding the new hysteretic damping model, the free vibration problem for the different range of parameters, namely 0<η<1, η=1, and η>1 are analytically derived and are also demonstrated by animations. In particular, the exact solutions of the latter two cases are derived for the first time. In animations, the trajectories for three damping models in the phase plane consist of straight lines, quarter ellipses, and hyperbolic curves. For the case of η≥1, it is interesting that permanent deformation may occur. In addition, the dead zone for the Coulomb damping model in the phase plane is also addressed. The envelope for the amplitude decay yields exponential, geometric, and linear curves for the viscous damping model, the new hysteretic damping model and the Coulomb damping model, respectively. It is also the primary focus that the same period and the same ratio of amplitude decay for the relation between the viscous coefficient and the hysteretic parameter are constructed. All animations are produced using the symbolic software Mathematica because it is easy for readers to understand the physical behavior of three damping models.
關鍵字Viscous damping;New hysteretic damping;Coulomb damping;Phase plane;Dead zone;Ratio of amplitude decay
語言英文
ISSN0733-9399/1943-7889
期刊性質國外
收錄於SCI;
產學合作
通訊作者
審稿制度
國別美國
公開徵稿
出版型式,電子版
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