This paper compares the dynamic response of a lab-scale timber footbridge, modeled as a simply supported beam, when several tuned mass dampers (TMDs) are installed in its central region, all tuned approximately to the footbridge’s first bending mode. It is known that the precise installation of a TMD in a structure can split the peak of its frequency response function (FRF), significantly reducing its amplitude. When a second TMD is added, depending on its tuning, a new split may occur in one of the peaks resulting from the previous split. For tuning a single TMD, its properties (mass, stiffness, and damping) must be carefully selected in relation to the properties of the structure it interacts with. Additionally, the second TMD not only interacts with the original structure but also with the first TMD, resulting in an optimization problem of increasing complexity as more TMDs are added. Several scenarios are presented, and some experimental FRFs are shown.

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Multi-Passive Tuned Mass Damper for Single-Mode Control of Slender Lab-Scale Timber Footbridge

  • Guillermo Fernández,
  • David Fuentes-Jiménez,
  • César Peláez-Rodríguez,
  • Juan José Villacorta-Calvo,
  • José María García-Terán,
  • Álvaro Magdaleno

摘要

This paper compares the dynamic response of a lab-scale timber footbridge, modeled as a simply supported beam, when several tuned mass dampers (TMDs) are installed in its central region, all tuned approximately to the footbridge’s first bending mode. It is known that the precise installation of a TMD in a structure can split the peak of its frequency response function (FRF), significantly reducing its amplitude. When a second TMD is added, depending on its tuning, a new split may occur in one of the peaks resulting from the previous split. For tuning a single TMD, its properties (mass, stiffness, and damping) must be carefully selected in relation to the properties of the structure it interacts with. Additionally, the second TMD not only interacts with the original structure but also with the first TMD, resulting in an optimization problem of increasing complexity as more TMDs are added. Several scenarios are presented, and some experimental FRFs are shown.