- 學位論文
加裝減振器之彈性樑振動分析
Vibration Analysis of The Elastic Beam with a Vibration Absorber
摘要
結構動力學(structural dynamics)乃是一包含工程技術和材料力學之重要學門。結構物因受強風、地震等外力而引起振動問題，已非靜力分析所能合理解決。例如空氣動力，這些外在的受力若與結構體本身耦合，將使得結構體的振動問題變為更為複雜。 本研究係針對一橫向振動(transverse vibration) 之彈性樑，其端點以一線性彈簧支撐，另一端點分別為加入減振裝置、點質量及完全懸空在受一外力下之減振分析。吾人將比較以上三種彈性樑在不同邊界條件下的振動情況與減振效果。 利用本文所推導之模式，對於結構物受到外力並開始振動之前，嘗試不同的減振裝置將可有效的避開系統共振範圍，以達到系 統順利運作的目的。
並列摘要
The vibration problem is very important for most mechanical devices. It is well known that the resonant phenomenon will cause serious system damage due to large displacements. Therefore a dependable and easy identified model is necessary for the prepensely design for the vibration system. In this research, we assume an elastic beam is subjected to the transverse vibration. This beam is supported with a linear spring at one of the end. The other end is attached by a point mass, an absorber and free end, and all with an external force, respectively. The analytic solutions are obtained for these 3 cases. The mode shapes and frequency responses are all studied. The effects of different vibration reduction devices on the elastic beam are analyzed. The results give important informations for vibration analysis. By using derived analytic functions, one can avoid the resonance of the system efficiently by using different vibration devices.