Multi-tuned mass damper inerter (MTMDI) system for earthquake-induced vibration control of buildings

Abstract

This paper introduces a new design concept, the multi-tuned mass damper inerter (MTMDI), and conducts a comparative study to evaluate its vibration control performance against the traditional single-tuned mass damper inerter (TMDI). The MTMDI and TMDI are designed with same total mass ratios (μ) and inertance ratios (β). Using particle swarm optimization algorithm (PSO), various parameters including the location of MTMDIs, the required number of TMDIs, mass ratios (μ), inertance ratios (β), frequency, and damping ratios (υ, ξ) are optimized. The primary objective is to minimize the H_∞ -norm of the roof displacement and acceleration transfer function using a multi-objective function for robust control. Both the MTMDI and TMDI are fine-tuned to resonate at the dominant frequency. The vibration control efficiency is assessed across single-degree-of-freedom structural systems (SDOF) and multi-degree-of-freedom structural systems (MDOFs), subjected to real earthquake records comprising 462 near-field and far-fault earthquakes, including 69 recorded ground motions with dominant velocity pulses. Comparisons between MTMDI and traditional TMDI systems are made in terms of frequency and time responses. The findings demonstrate that the MTMDI system exhibits superior performance, achieving at maximum an additional 30 % reduction in response compared to the traditional TMDI. The study concludes by recommending the adoption of MTMDI alongside simple, fast, and robust optimization algorithms to address engineering optimization challenges. • Introducing a novel multi-tuned mass damper inerter (MTMDI) design for earthquake-induced vibration control in buildings. • Comparative study evaluating the performance of MTMDI versus traditional single-tuned mass damper inerter (TMDI) systems. • Utilization of PDF curves to estimate performance differences between TMDI schemes. • Investigation of vibration control efficiency in single-degree-of-freedom and multi-degree-of-freedom structural systems. • Demonstration of MTMDI's superior performance, achieving up to a 30 % reduction in response compared to traditional TMDI systems.

Topics & Concepts