Abstract

This article proposes a method for optimizing multiple tuned mass damper (TMD) devices for reducing bridge vibration as a vehicle passes over it. The method can design multiple TMD parameters simultaneously for different modes contributing to multiple resonance peaks. Moreover, the study analyzed the vibration of bridges with uncertain parameters. This study’s motivation is based on the optimal design of TMDs for bridge structures under external forces, such as the loads of moving cars and high-speed trains. In this case, the resonant response phenomenon can only happen at specific frequencies. The proposed optimization was developed based on the H₂ norm method to design the TMD parameters. The target of the present method is to minimize the response peaks around the resonance frequencies. Moreover, the contribution of the excited modes to each other at their resonance frequencies is considered. The TMD parameters were found to demonstrate good performance for reducing the vibration of bridges due to moving vehicles.

摘要

本文提出了一种优化多调谐质量阻尼器 (TMD) 装置的方法，以减少车辆经过桥梁时的振动。该方法可以针对产生多个共振峰的不同模式同时设计多个 TMD 参数。此外，该研究还分析了参数不确定的桥梁振动。本研究的动机是基于外力作用下桥梁结构 TMD 的优化设计，例如移动汽车和高速列车的载荷。在这种情况下，谐振响应现象只能发生在特定频率。所提出的优化是基于H ₂范数法设计TMD参数。本方法的目标是最小化谐振频率附近的响应峰值。此外，还考虑了激发模式在其共振频率下彼此的贡献。研究发现 TMD 参数在减少车辆移动引起的桥梁振动方面表现出良好的性能。