This paper introduces a vibration control strategy for bridges that involves the implementation of an inertial amplifier to mitigate train-induced vibrations. The study comprehensively evaluates the effectiveness of two types of vibration absorbers, namely spring-mass resonator (SMR) and inertial amplifiers (IA), using a non-dimensional mechanics-based framework. The study further employs a heuristic search adaptive genetic algorithm (GA) to determine the optimal design parameters for the proposed vibration absorbers. The aim is to minimize the mid-span displacement of the bridge through the optimization process. The theoretical non-dimensional framework and the optimization technique are first validated with existing literature, and further, the efficiency of the optimized IA over the SMR of the same static mass is estimated. The comparative studies elucidate that with a lower mass ratio and higher values of the speed parameter (η) and inter-spatial distance between loads (ϵ), the IA system is more effective in reducing the vibration amplitude due to significant mass amplification. However, for lower values of η and ϵ, the SMR seems effective with a higher mass ratio, consequently resulting in amplified static deflection.

中文翻译：

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惯性放大器的设计和优化，以增强移动负载下桥梁的振动控制


本文介绍了一种桥梁的振动控制策略，该策略涉及使用惯性放大器来减轻列车引起的振动。该研究使用基于无量纲力学的框架，全面评估了两种减振器的有效性，即弹簧质量谐振器 （SMR） 和惯性放大器 （IA）。该研究进一步采用启发式搜索自适应遗传算法 （GA） 来确定所提出的减振器的最佳设计参数。目的是通过优化过程最小化桥梁的跨中位移。首先用现有文献验证了理论无量纲框架和优化技术，然后估计了优化后的 IA 在相同静态质量的 SMR 上的效率。比较研究阐明，在质量比较低、速度参数 （η） 和载荷间距距离 （ε） 值较高的情况下，IA 系统在降低由于显着质量放大而导致的振动幅度方面更有效。然而，对于较低的 η 和 ε 值，SMR 似乎对较高的质量比有效，从而导致放大的静态偏转。