A multi-layer steel frame structure equipped with tuned viscous mass dampers was established and its mechanical models were analyzed.The energy balance equation was established and expressions of structures’ elastic vibration energy、dampers’ elastic vibration energy、viscous dampers’ energy were presented.Formulas of shear coefficients and story drifts were derived.Simplified formulas of mass dampers and viscous dampers energy dispersion coefficients were put forward.Time history analysisvalidated prediction formulas and simplified formulas accuracy.Dampers optimized arrangementsin different requirements were obtained by different linear combinations of displacement decrease rate and acceleration decrease rate.Conclusions are as follows:(1)simplified formulas can match well with energy dispersion coefficients;(2)prediction curves can envelope the results of time history analysis and match well with them;(3)whenstructures parameters are optimized distribution,mass ratio is 0.2,stiffness ratio is 0.8,dampers’ damping ratio is 0.8,structures’ damping effect in all situations is the best.
Key words
tuned viscous mass damper /
energy balance equation /
predictionformulas /
simplified formulas /
energy dispersion coefficients /
optimized arrangements
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