Airfoils and bridge decks usually have streamlined geometries for efficient aerodynamic analysis. These shapes allow for the use of Theodorsen functions, which offer approximations specifically for thin plates. This research presents a new method to improve the efficiency of streamlined sections by strategically arranging eccentric masses. Unlike traditional use of tuned mass dampers (TMDs), this approach provides a clear benefit by decreasing the need for many springs and viscous dampers. This text elaborates on the development of equations that describe the movement of bridge deck-eccentric mass systems, laying the groundwork for future research. Using the revised step-by-step technique, the research thoroughly analyzes flutter stability and concludes with numerical simulations that highlight the effectiveness of the suggested strategy. This study not only enhances the comprehension of flutter dynamics but also provides a practical approach for enhancing the stability of streamlined structures in real-world engineering applications.