Study of support motion of a finite bar with a boundary damper and a spring using analytical approaches and FEM
學年 113
學期 2
出版（發表）日期 2025-02-28
作品名稱 Study of support motion of a finite bar with a boundary damper and a spring using analytical approaches and FEM
作品名稱（其他語言）
著者 Jeng-Tzong Chen; Hao-Chen Kao; Jia-Wei Lee; Ying-Te Lee
單位
出版者
著錄名稱、卷期、頁數 International Journal of Structural Stability and Dynamics 25(4), 2550035
摘要 In this paper, we solve the vibration problem of a finite bar with a viscously damped boundary in conjunction with a spring on the same side subject to the support motion on the other side. To avoid the computation of complex modes and the difficulty of orthogonal conditions for the partial differential equation (PDE) of a continuous system, two alternatives are employed. One is the analytical derivation by using the diamond rule of the method of characteristics. The advantage is that this method can yield an analytical solution. However, the disadvantage is that the method can be only applied to some simple problems such as a linear system and the one-dimensional (1D) wave equation. The other numerical method, finite element method (FEM), is incorporated into a general-purpose program to solve this problem. The advantage of the FEM is that this methodology can be applied to solve various problems such as different PDEs. Therefore, the solution obtained by using the FEM is compared with that of the analytical solution. Two special cases, only a spring and a damper alone, are also considered by using the FEM. Interestingly, the same silent area is captured in the displacement profile by using the FEM for the three cases. We also find that the displacement profiles have slope discontinuity which only occurs on the characteristic line. After the wave front arrives at the boundary, various responses appear due to different boundaries, spring, damper and both. It is found that the displacement amplitude of the general case is smaller than the other two special cases. This result matches the application of engineering practice.
關鍵字 Support motion; viscous damper; spring; finite element method; diamond rule
語言 en_US
ISSN 0219-4554; 1793-6764
期刊性質 國外
收錄於 SCI
產學合作
通訊作者
審稿制度 是
國別 SGP
公開徵稿
出版型式 ,電子版,紙本
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