應用自參數調變於非線性吸振器之研究

The Development of an Nonlinear Vibration Absorber Using Autoparametric Resonance

黎文龍(Wen-Lung Li) ； 蘇育賢(Yu-Xian Su)

《中華民國振動與噪音工程學會論文集》 2011 (2011/06) Pp. 281-286

https://doi.org/10.30028/CSSVANNUAL.201106.0281

摘要

在本研究以設計一半主動減振系統為目標，希望利用可調整之空氣彈簧來控制系統參數，以達到運用非線性系統中之自參數調變現象來達成減振效果。系統經過比較各種設計優缺點後，以單擺機構與空氣彈簧之連結當作系統之減振元件，透過不斷改良的幾何關係設計，能使系統運動方程式中出現χθ的相乘項以及線性自然頻率，前者能使系統在受到2:2:1（激振頻率：主系統頻率：子系統頻率）頻率激振時，兩自由度之間能夠產生能量交換；後者則是方便往後調整空氣彈簧彈性係數以及套用於多尺度分析計算。最後以多尺度分析作為調整參數之依據，在實體建立之前能夠設定一合理且較佳之參數。

關鍵字

自參數調變 ； 多尺度分析 ； 單擺 ； 空氣彈簧

並列摘要

In this study, semi-active Vibrations Control system is the goal of design, using adjustable air spring to control the system parameters and use autoparametric phenomenon to reduce vibration. After comparing the advantages and disadvantages of various design, using the pendulum link with the air spring system as the absorber part, through the continuous improvement of the geometry of the design, can make quadratically-coupled appear in the equations of motion and find the linear natural frequency. Because the influence of quadratically coupled, when system is under the frequency ratio 2:2:1 (excitation frequency: the main system's natural frequency: subsystem's nature frequency), the two degree of freedom can exchange energy between each other; If the equation of motion has linear natural frequency which is easy to adjust the air spring stiffness and can calculated by multiple scale analysis. Finally, multiple scale analysis can adjust the parameters of the system before manufacture the prototype.

並列關鍵字

autoparametric ； multiple scale analysis ； pendulum ； air spring