Abstract: The development of advanced vibration control systems has grown due to the rising susceptibility of civil infrastructure to dynamic excitations, particularly seismic occurrences. The Tuned Mass Damper (TMD), one of these, has shown promise but is constrained by its reliance on significant additional mass. The development and improvement of TMDs by including the inerter—a mechanical device that generates force proportional to relative acceleration—is examined in this paper. With lower mass requirements, the resultant systems, referred to as Tuned Mass Damper Inerters (TMDIs) or Tuned Mass Inerter Dampers (TMIDs), provide notable enhancements in vibration mitigation. Key studies on a range of TMDI structures and applications, such as fluid inerters, clutching mechanisms, negative stiffness elements, and hybrid active-passive control frameworks, are methodically reviewed in this study. Additionally included are optimization methods like surrogate modelling and genetic algorithms. According to the review, TMIDs achieve improved damping performance, installation flexibility, and decreased structural reaction, which is a significant development in structural control, particularly for seismic applications.

Keywords: Tuned Mass Damper (TMD), Tuned Mass Damper Inerter (TMDI), Structural Vibration Control, Inerter-Based Dampers, Seismic Response Mitigation, Passive Control Systems, Surrogate Optimization, Fluid Inerter, Equal model Damping (EMD).

| DOI: 10.17148/IARJSET.2025.125176