多孔材質諧調液體阻尼器結合單擺之物理特性研究

Physical Characteristics of Tuned Liquid Dampers with Porous media on Pendulum

葉昶廷(Chang-Ting Yeh)

指導教授 ： 黃維信

國立臺灣大學/工學院/工程科學及海洋工程學研究所/碩士(2022年)

https://doi.org/10.6342/NTU202201766

摘要

本文研究裝置不鏽鋼網組合諧調液體阻尼器結合單擺之物理特性。理論方面，應用多孔材質理論，假設流場為無旋流且不可壓縮，使流場的速度勢滿足拉普拉斯方程式(Laplace equation)，並且假設流場滿足達西定律。邊界條件為自由液面的運動邊界條件與動力邊界條件、壁面的不可穿透性。利用上述條件，推導出系統在無阻尼的情況下液體的自然頻率。實驗方面，分別利用衝擊實驗與921地震力實驗測量裝置鐵網與不鏽鋼網組合之諧調液體阻尼器在暫態過程的物理特性(壁面波高)以及單擺的位移。比較鐵網與諧調液體阻尼器在裝置不同線距或線徑的不鏽鋼網組合條件下，物理特性上的差異，最後模擬921地震，觀察液體阻尼器的成效。

關鍵字

諧調液體阻尼器 ； 多孔材質 ； 沖激行為 ； 壁面波高 ； 壁面衝擊力 ； 地震

並列摘要

Physical properties of a pendulum integrated with PMTLD (Tuned Liquid Dampers with Porous media) were investigated in this thesis. Theoretically, for potential flow through porous media, Darcy’s Law was employed for the analysis. Kinematic boundary condition and dynamic boundary condition on free surfaces and impenetrable condition on walls were applied. Based on the assumptions, undamped natural frequencies of the system were derived. Experimentally, impact test and effective force testing, using the recorded data of 921 earthquake, which took place 21/9/1999 in Taiwan, were conducted. Transient responses, amplitude of water wave and displacement of the pendulum, on pendulum-PMTLD systems with webs made of iron and stainless metal were recorded. Differences in physical properties among webs with multiple combinations of distancing and thickness were discussed. Finally, the effect of PMTLD in the effective force testing was analyzed.

並列關鍵字

Tuned liquid dampers ； Porous media ； Sloshing behavior ； Wave elevation ； Sloshing force ； Earthquake

參考文獻

[1] 賴勇安, "應用相位控制原理於調諧質塊阻尼器最佳化結構控制設計," 碩士論文, 國立台灣大學, 2011.

[2] H. Newkirk, W. Haseltine, and A. Pratt, "Stability of rotating space vehicles," Proceedings of the IRE, vol. 48, no. 4, pp. 743-750, 1960.

[3] P. G. Bhuta and L. R. Koval, "A viscous ring damper for a freely precessing satellite," International Journal of Mechanical Sciences, vol. 8, no. 5, pp. 383-395, 1966.

[4] S. Chen, C. Chang, and C. Cai, "Study on stability improvement of suspension bridge with high-sided vehicles under wind using tuned-liquid-damper," Journal of Vibration and Control, vol. 14, no. 5, pp. 711-730, 2008.

[5] J. Amieux and M. Dureigne, "Analytical design of optimal nutation dampers," Journal of Spacecraft and Rockets, vol. 9, no. 12, pp. 934-935, 1972.