具不連續慣質質量阻尼器之動力特徵與性能評價研究

Abstract

臺灣位於地震頻繁的板塊交界處，都市高層建築密集，使得結構控制技術對保障安全與舒適性的需求日益增加。傳統的調諧質量阻尼器(TMD)雖廣泛應用，但其控制表現高度仰賴參數設計，且需配置較大的質量與足夠的行程空間。本研究針對上述缺點，提出結合不連續慣質之質量阻尼器(DIMD)，並依慣質擺放位置設計置中型(M-DIMD)及雙側型(DS-DIMD)兩種理論模型。本研究首先透過頻率響應與慣性力-位移關係，探討慣質比與分段長度對DIMD自身動力特性的影響。接著，於雙自由度主結構中加裝DIMD進行自由振動，分析系統能量分布、模態能量轉移與等效阻尼特性。最後，與傳統TMD進行性能比較，評估結構反應與阻尼器行程控制的成效。研究結果顯示，DIMD雖在控制效果上稍遜於TMD，但能有效縮短阻尼器行程，且具備較佳的穩定性與設計彈性，有效改善TMD在實際應用中的限制。

Taiwan is located at the boundary of tectonic plates with frequent seismic activity, and densely populated urban high-rise buildings significantly increase the demand for structural control technologies to ensure safety and comfort. Traditional Tuned Mass Dampers (TMD) have been widely utilized; however, their effectiveness relies heavily on precise parameter settings and requires substantial mass and sufficient stroke space, which limits practical applications. To address these limitations, this study proposes the Discontinuous Inerter Mass Damper (DIMD) incorporating discontinuous inertial mechanisms, designed in two theoretical models based on the placement of the inerter: Middle-type (M-DIMD) and Dual-side-type (DS-DIMD). Therefore, this research investigates the impact of inertial mass ratio and segment length on the dynamic characteristics of DIMD through frequency response analyses and inertia force-displacement relationships. Subsequently, DIMD is installed in a two-degree-of-freedom primary structure for free vibration analysis to explore the energy distribution, modal energy transfer, and equivalent damping characteristics. Finally, the performance of DIMD is compared with traditional TMD to evaluate structural response reduction and damper stroke control. The results indicate that although DIMD exhibits slightly inferior control performance compared to TMD, it significantly reduces damper stroke and demonstrates superior stability and design flexibility, effectively overcoming practical application constraints inherent to TMD.