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The Eighteenth KKCNN Symposium on Civil Engineering. Structural Vibration Control Using Semiactive Tuned Mass Damper. Han-Rok Ji , Graduate Student , KAIST, Korea Yeong-Jong Moon, Ph. D. Candidate , KAIST, Korea Chun-Ho Kim, Professor , Joongbu University, Korea
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The Eighteenth KKCNN Symposium on Civil Engineering Structural Vibration Control Using Semiactive Tuned Mass Damper Han-Rok Ji, Graduate Student, KAIST, Korea Yeong-Jong Moon, Ph. D. Candidate, KAIST, Korea Chun-Ho Kim, Professor, Joongbu University, Korea In-Won Lee, Professor, KAIST, Korea
CONTENTS • Introduction • Semiactive Tuned Mass Damper • Numerical Analysis • Conclusions
Introduction • Tuned Mass Damper • widely used mechanical damping device • Simple and efficient vibration control system • No external power, energy dissipation, inherent reliability • Restricted performance resulted from the fixed parameters • Semiactive Tuned Mass Damper • Alternative device of conventional TMD • Improved control performance with stability of TMD • High robustness and adaptability
Objective • Analytical study on semiactive TMD using MR damper for mitigating the vibration of structures • Application of various semiactive control algorithms to MR damper • Robustness analysis for the semiactive TMD system
x2 c(t) m2 k2 x1 m1 m1 k1 c1 Semiactive Tuned Mass Damper • Controllable damping device is installed in the place of passive dashpot. • Produce the additional control effect to the primary structure. SDOF system with semiactive TMD • Equation of Motion (1)
Dynamic model of MR damper • modified Bouc-Wen model (Spencer et al., 1997) Bouc-Wen c0 k1 c1 k0 c1 c0 k0 k1 (2) Modified Bouc-Wen Model
Semiactive Control Algorithms • on-off velocity based groundhook control • on-off displacement based groundhook control • clipped optimal algorithm • maximum energy dissipation algorithm
On-off velocity based groundhook control (Koo et al. 2003) • Based on velocity of primary system (v1 ) and TMD (v2 ) (3) • On-off displacement based groundhook control (Koo et al. 2003) • Based on velocity of primary system (v1 ) and TMD (v2 ) displacement of primary system (x1 ) (4)
Clipped optimal algorithm (Dyke et al, 1996) • linear optimal controller and clipped algorithm (5) Fc : desired damper force by optimal controller Fd : measured damper force • Maximum energy dissipation algorithm (Jansen and Dyke, 2000) • Controlvoltage is determined so that the structure dissipates the maximum energy (6) Fd : measured damper force
Numerical Analysis • Three-story shear building MR damper mTMD = 150 kg , kTMD = 36,401 N/m • Input earthquake excitations • amplitude scaled El Centro, Hachinohe earthquakes
Parameters of MR damper (Spencer et al., 1997) Bouc-Wen c0 k1 k0 c1 c1 c0 k0 k1 Modified Bouc-Wen model • maximum damper force : 1,500 N • minimum voltage : 0 V • maximum voltage : 2.25 V
Response of building model J1 : normalized peak floor displacement J2 : normalized peak interstory drift J3 : normalized peak acceleration
Evaluation criteria under two earthquakes • El Centro earthquake • Hachinohe earthquake Normalized value Normalized value • The efficiency of semiactive TMD is slightly better than that of TMD. • Passive on mode has the worst performance.
Robustness Analysis • Real structures can have structural uncertainties in many reasons. • Control performance of TMD is restricted considerably due to off-tuning effect. • Stiffness perturbation is considered to verify the robustness of the semiactive TMD • Response with stiffness matrix perturbation • Perturbed stiffness matrix (7) : amount of perturbation (-15%, -10%, -5%, +5%, +10% and +15%)
Time history with +15% stiffness perturbation under Hachinohe earthquake Interstory drift (cm) Acceleration (m/sec2) Time (sec) • The maximum and RMS values with semiactive TMD are reduced compared with that of conventional TMD.
Evaluation criteria under El Centro earthquake Normalized peak drift (J2) Normalized peak acceleration (J3) • Overall performance of semiactive TMD is better than that of TMD. • Efficient algorithm : on-off DBG control for interstory drift clipped optimal control for acceleration
Evaluation criteria under Hachinohe earthquake Normalized peak drift (J2) Normalized peak acceleration (J3) • Semiactive TMD is superior to conventional TMD. • On-off DBG and clipped optimal algorithm have sufficient robustness.
Conclusions • Analytical study on semiactive TMD with MR damper is performed. • Various semiactive control algorithms are adopted and the performance of each algorithm is evaluated. • Semiactive TMD system shows slightly better performance than conventional TMD system.
Sufficient robustness is obtained under the structural perturbation with semiactive TMD. • The on-off displacement based groundhook theory and clipped optimal algorithm is appropriate algorithm for semiactive TMD system.