承受多個外力之阻尼結構系統的減振研究

Vibration Reduction of a Damped Structural System Subjected to Multiple External Loadings

吳佳璋(Jia-Jang Wu) ； 梁育誠(Yu-Chen Liang)

《應用聲學與振動學刊》 1卷1期 (2009/10) Pp. 39-49

https://doi.org/10.6282/JASV.2009.1.1.05

摘要

本文的主要目的在於探討調諧液柱阻尼器(Tuned Liquid Column Damper, TLCD)對承受多個動態外力之含阻尼結構系統的減振性能。爲達此目的，吾人先利用拉格朗日方程式(Lagrange's Equations)來推導調諧液柱阻尼元素的元素性質矩陣，然後利用牛頓法推導主系統的整體性質矩陣，接著則利用有限元素法的矩陣組合技巧來組合上述矩陣，以獲得安裝有調諧液柱阻尼器之多自由度彈簧－阻尼－質量系統的運動方程式。一些和本研究主題相關的重要參數，例如：阻尼器截面積、阻尼器容器質量、阻尼器內部氣體以及液體種類等，皆在本文加以探討。由所提出的數值結果可以發現，上述調諧液柱阻尼器的相關參數對多自由度彈簧－阻尼－質量主系統的減振有很大的影響。

關鍵字

調諧液柱阻尼器 ； 減振 ； 動態放大因子

並列摘要

The object of this paper is to investigate the vibration reduction effectiveness of a damped structural system, with a tuned liquid column damper (TLCD), subjected to multiple external loadings. To this end, the element property matrices of a TLCD element are firstly derived by means of Lagrange's equations. Then, the overall property matrices of the main structural system are derived using Newton's second law. Next, based on the matrices assembly technique of finite element method, the equations of motion of a multiple degree of-freedom spring-damper-mass system installed with a TLCD are determined. Some important factors closely relevant to the current research topic, such as crosssectional area of TLCD, mass of TLCD, gas of TLCD and liquid of TLCD, are studied in this paper. From the presented numerical results, it is found that the influences of the above-mentioned factors on the vibration reduction effectiveness of a multiple degree-of-freedom springdamper-mass main system are significant.

並列關鍵字

Tuned Liquid Column Damper ； Vibration Reduction ； Dynamic Magnification Factor