<p>Vibration mitigation remains a critical challenge in mechanical and structural systems under resonant and broadband excitation. While conventional tuned mass dampers (TMDs) are widely used, their effectiveness is constrained by substantial mass requirements and narrow operational bandwidths. This study introduces two inertial amplification mechanism (IAM)-based absorbers designed to overcome these limitations, the tuned inertial amplified mass damper (TIAMD) and the tuned inertial amplified viscous mass damper (TIAVMD). The TIAMD integrates an IAM into a Voigt-type TMD, while the TIAVMD embeds the IAM within a grounded viscous-TMD configuration. Mathematical models of both systems, coupled with a single-degree-of-freedom primary system, are derived using Lagrange’s equations and solved using an adaptive step-size Runge–Kutta method. Numerical optimization using pattern search algorithms identifies optimal frequency and damping ratios to minimize peak steady-state response under harmonic excitation. The influence of key design parameters including Mass ratio, Mass distribution ratio, and IAM angle on dynamic performance is investigated, and comprehensive design charts for optimal tuning are presented. Results demonstrate that both configurations significantly outperform conventional TMDs, with the TIAVMD achieving 40.4% greater vibration suppression, 75.5% wider bandwidth, and 68.2% lower absorber displacement. The TIAMD shows comparable improvements, including 31.2% enhanced attenuation and 58% bandwidth expansion. These IAM-based absorbers offer superior vibration control without mass penalties, providing efficient and compact solutions for diverse engineering applications.</p>

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Optimal design and performance evaluation of dual-configuration inertial amplification tuned mass dampers for enhanced vibration control

  • Mohamed F. Younes

摘要

Vibration mitigation remains a critical challenge in mechanical and structural systems under resonant and broadband excitation. While conventional tuned mass dampers (TMDs) are widely used, their effectiveness is constrained by substantial mass requirements and narrow operational bandwidths. This study introduces two inertial amplification mechanism (IAM)-based absorbers designed to overcome these limitations, the tuned inertial amplified mass damper (TIAMD) and the tuned inertial amplified viscous mass damper (TIAVMD). The TIAMD integrates an IAM into a Voigt-type TMD, while the TIAVMD embeds the IAM within a grounded viscous-TMD configuration. Mathematical models of both systems, coupled with a single-degree-of-freedom primary system, are derived using Lagrange’s equations and solved using an adaptive step-size Runge–Kutta method. Numerical optimization using pattern search algorithms identifies optimal frequency and damping ratios to minimize peak steady-state response under harmonic excitation. The influence of key design parameters including Mass ratio, Mass distribution ratio, and IAM angle on dynamic performance is investigated, and comprehensive design charts for optimal tuning are presented. Results demonstrate that both configurations significantly outperform conventional TMDs, with the TIAVMD achieving 40.4% greater vibration suppression, 75.5% wider bandwidth, and 68.2% lower absorber displacement. The TIAMD shows comparable improvements, including 31.2% enhanced attenuation and 58% bandwidth expansion. These IAM-based absorbers offer superior vibration control without mass penalties, providing efficient and compact solutions for diverse engineering applications.