Abstract
A vehicle-bridge tuned mass damper (TMD) coupled dynamic analysis and vibration-control model was established to optimize TMD damping effects on a steel-box girder bridge bearing vehicle loads. It was also used to investigate optimization efficiency of different algorithms in TMD design parameters. This model simulated bridges and vehicles with the use of a 7 degrees of freedom curved-beam element model and a 7 degrees of freedom vehicle model, respectively. The TMD system was simulated with the use of multiple rigid-body systems linked with springs and dampers. Road surface condition, as a vibration source, was simulated with the use of a frequency equivalent method based on a power spectrum. A variably-accelerated pattern search algorithm was proposed in line with the initial TMD parameters calculated by Den Hartog formula. Visual software was compiled by Fortran and used for an optimization study of vibration reduction. A three-span, curved, continuous steel-box girder bridge was used as the numerical example. Optimized effects and computational efficiency of vibration reduction under different methods were compared. The comparison included a single variable optimization based on Den Hartog formula, an ergodic search method, an integer programming method, a traditional genetic algorithm, a traditional pattern search algorithm, and a variably-accelerated pattern search algorithm. The results indicate that variably-accelerated pattern search algorithm is more efficient at improving TMD optimal parameter design. Final TMD parameter optimization values obtained by different methods are quite close to each other and tends verify the reliability of the optimization results.
Highlights
Vehicles moving on irregular bridge road surfaces produce coupling vibrations in the vehiclebridge system
A variably accelerated pattern search algorithm based on a Den Hartog formula was proposed
The comparison included a single variable optimization method based on a Den Hartog formula, an ergodic search method, an integer programming method, a traditional genetic algorithm, a traditional pattern search algorithm, and a variably accelerated pattern search algorithm
Summary
Vehicles moving on irregular bridge road surfaces produce coupling vibrations in the vehiclebridge system. In their study of TMD damping and optimization, analyzed TMD vibration control effects on a three-span continuous girder bridge simulated with six degrees of freedom (DOF) beam element [9]. This paper proposes a new variablyaccelerated pattern search algorithm (VAPS) based on an improved initial value This realizes vehicle-bridge coupling damping optimization for an unrestricted TMD system. A three-span, curved, continuous steel-box girder bridge was taken as the model for studying damping optimization of the vehicle-bridge coupled dynamic response using self-programmed software VBTS-1. A post-optimization TMD prolongs bridge life spans and contributes to the sustainable development of urban infrastructure construction This optimization algorithm provides a reference value in the the vibration reduction design of bridges and other structures.
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