本研究旨在探討輕量複合隔音材應用於隔音地板系統之減振與降噪效能。首先，建立由樓板、輕量複合隔音材及裝修層所組成之等效動力模型，並基於兩相流理論推導輕量複合隔音材之非線性等效阻尼係數，將其納入系統運動方程式，以描述材料內部顆粒相對運動所產生之能量耗散行為。接著，以 範數建立性能評估指標，分析系統之動態反應，探討不同設計參數對減振效能與共振抑制能力之影響。 為提升材料建模之準確性，本研究透過微觀力學方法，預測不同顆粒填充率下輕量複合隔音材之等效力學性質。隨後，採用多物理場耦合分析方法，建立三維聲-結構耦合數值模型，以模擬標準衝擊載重作用下隔音樓地板系統之結構動態反應及受音室聲場分布，並評估其衝擊音隔絕性能。此外，藉由調整頻率比、質量比及顆粒填充率等關鍵設計參數，進行參數敏感度分析與最佳化設計，以探討各項參數對系統減振與降噪效能之影響。研究結果顯示，適當之參數組合可提升隔音樓地板系統之能量耗散能力，有效抑制中低頻範圍內之結構共振反應，並降低衝擊音傳遞。本研究所建立之等效動力模型、聲-固耦合分析方法及參數最佳化流程，可作為發展兼具減振、降噪及輕量化特性之隔音樓地板系統的理論基礎與設計參考。;This study investigates the vibration and noise reduction performance of lightweight composite sound insulation materials applied to sound-insulating floor systems. First， an equivalent dynamic model consisting of the floor slab， lightweight composite sound insulation material， and finishing layer was established. Based on two-phase flow theory， a nonlinear equivalent damping coefficient for the lightweight composite sound insulation material was derived and incorporated into the equations of motion to describe the energy dissipation caused by the relative motion of particles within the material. An -norm-based performance index was then introduced to evaluate the dynamic response of the system and to investigate the effects of different design parameters on vibration reduction and resonance suppression. To improve the accuracy of material modeling， a micromechanical approach was adopted to predict the equivalent mechanical properties of the lightweight composite sound insulation material under different particle filling ratios. Subsequently， a three-dimensional vibro-acoustic coupling numerical model was developed using a multiphysics coupling method to simulate the structural dynamic response of the sound-insulating floor system and the sound field distribution in the receiving room under standard impact loading， and to evaluate its impact sound insulation performance. In addition， sensitivity analysis and optimization were conducted by varying key design parameters， including the frequency ratio， mass ratio， and particle filling ratio， to examine their effects on the vibration and noise reduction performance of the system. The results indicate that an appropriate combination of design parameters can enhance the energy dissipation capacity of the sound-insulating floor system， effectively suppress structural resonance in the low- and mid-frequency ranges， and reduce impact sound transmission. The equivalent dynamic model， vibro-acoustic coupling analysis method， and parameter optimization procedure developed in this study provide a theoretical basis and design reference for the development of sound-insulating floor systems with vibration reduction， noise mitigation， and lightweight characteristics.
