Optimization of Multiple Tuned Mass Dampers for Road Bridges Taking into Account Bridge‐Vehicle Interaction, Random Pavement Roughness, and Uncertainties

Abstract

Road bridge designs are based on technical standards, which, to date, consider dynamic loading as equivalent static loads. Additionally, the few engineers who perform a dynamic analysis typically do not consider the effects of bridge-vehicle interaction and also simplify the road’s irregularity profile. Moreover, often, even when a simplified dynamic analysis is carried out and shows that there will be a high dynamic amplification factor (DAF), designers prefer to solve this problem by adopting high safety factors and thereby oversizing the bridge, rather than using energy dissipation devices that would allow reducing the amplitude of vibration. In this context, the present work proposes a complete methodology to minimize the dynamic response of road bridges by optimizing multiple tuned mass dampers (MTMD), taking into account the bridge-vehicle interaction, the random profile of pavement irregularities, and the uncertainties present in the coupled system and in the excitation. For illustrative purposes, the coupled vibration problem of a regular truck traveling on a random road profile over a typical Brazilian bridge is analyzed. Three different scenarios for the MTMD are considered. The proposed optimization problem is solved by employing the Whale Optimization Algorithm (WOA). The results showed the excellent ability of the proposed methodology, reducing the bridge’s DAF to acceptable values for all analyzed cases, considering or not the uncertainties present in the system. Furthermore, the results obtained by the proposed methodology are compared with results obtained using classical tuned mass damper (TMD) design methods, showing the best performance of the proposed optimization method. Thus, the proposed method can be employed to optimize MTMD, improving bridge design.

A New Methodology for Optimal Design of Hybrid Vibration Control Systems (MR + TMD) for Buildings under Seismic Excitation

“…Furthermore, the authors of [52] conducted optimization of TMD parameters for a building under seismic loading. Additionally, the authors of [53] focused on optimizing the parameters of MTMDs to minimize the maximum vertical displacement of road bridges subjected to vehicle trafc.…”

Efficient Dynamic Performance Prediction of Railway Bridges Situated on Small-Radius Reverse Curves

“…Researchers have employed various numerical models and analysis methods to address vehicle-bridge interaction. Tese studies contribute to structural dynamics and encompass theoretical, numerical simulation, and real-world experimental aspects [1][2][3][4][5]. Tese investigations often utilize diferent vehicle models, such as moving force models, moving mass models, quarter-vehicle models, and fullvehicle models [6][7][8][9][10][11][12][13][14][15].…”

Optimization of Stiffness and Damping Coefficients of Connection Dampers to Reduce the Dynamic Response of Transmission Line Steel Towers Subjected to Wind Action

“…The study showed that, by applying adequate properties and positioning the TMD above water, it is possible to reduce the effects caused by dynamic actions moderately, while improving the effectiveness of energy generation. Other examples of TMD optimization in different types of structures subjected to different types of dynamic excitation can be found in [18][19][20][21][22][23][24][25][26][27].…”