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。 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.
