290 likes | 450 Views
16 th KKCNN Symposium on Civil Engineering Kyungju, Korea, December 8 - 10 , 200 3. Robust Hybrid Seismic Isolation System for a Seismically Excited Cable-Stayed Bridge. Kyu-Sik Park , Ph. D. Candidate, KAIST, Korea Hyung-Jo Jung , Assistant Professor, Sejong Univ., Korea
E N D
16th KKCNN Symposium on Civil Engineering Kyungju, Korea, December8-10, 2003 Robust Hybrid Seismic Isolation System for a Seismically Excited Cable-Stayed Bridge Kyu-Sik Park,Ph. D. Candidate, KAIST, Korea Hyung-Jo Jung, Assistant Professor, Sejong Univ., Korea Woo-Hyun Yoon, Professor, Kyungwon Univ., Korea In-Won Lee, Professor, KAIST, Korea
Contents • Introduction • Robust hybrid seismic isolation system • Numerical examples • Conclusions Structural Dynamics & Vibration Control Lab., KAIST, Korea
Introduction • Hybrid seismic isolation system (HSIS) A combination of passive and active control devices • Passive devices: offer some degree of protection in the case of power failure • Active devices: improve the control performances However, the robustness of HSIS could be decreased by the active control devices. Structural Dynamics & Vibration Control Lab., KAIST, Korea
Objective of this study Apply robust control algorithms to improve the controller robustness of HSIS Structural Dynamics & Vibration Control Lab., KAIST, Korea
Robust hybrid seismic isolation system (RHSIS) • Control devices Passive control devices • Lead rubber bearings (LRBs) • Design procedure: Ali and Abdel-Ghaffar (1995) • Bouc-Wen model Active control devices • Hydraulic actuators (HAs) • An actuator capacity has a capacity of 1000 kN. • The actuator dynamics are neglected. Structural Dynamics & Vibration Control Lab., KAIST, Korea
Control algorithm RHSIS I • Primary control scheme · Linear quadratic Gaussian (LQG) algorithm • Secondary control scheme · On-Off type controller according to LRB’s responses Structural Dynamics & Vibration Control Lab., KAIST, Korea
Bridge Model LRB MUX Sensor LQG On-Off HA Block diagram of RHSIS I Structural Dynamics & Vibration Control Lab., KAIST, Korea
RHSIS II • H2 control algorithm with frequency weighting filters • Frequency weighting filters Structural Dynamics & Vibration Control Lab., KAIST, Korea
Bridge Model R Wu Wz kg Wg Q LRB DM MUX H2 HA Sensor K Block diagram of RHSIS II Structural Dynamics & Vibration Control Lab., KAIST, Korea
RHSIS III • H control algorithm with frequency weighting filters Structural Dynamics & Vibration Control Lab., KAIST, Korea
Numerical examples • Analysis model Bridge model • Bill Emerson Memorial Bridge · Benchmark control problem (Dyke et al., 2003) · Under construction in Cape Girardeau, MO, USA ·16 Shock transmission devices (STDs) are employed between the tower-deck connections. Structural Dynamics & Vibration Control Lab., KAIST, Korea
142.7 m 350.6 m 142.7 m Schematic of the Bill Emerson Memorial Bridge Structural Dynamics & Vibration Control Lab., KAIST, Korea
142.7 m 350.6 m 142.7 m : Accelerometer : Displacement sensor Configuration of sensors Structural Dynamics & Vibration Control Lab., KAIST, Korea
142.7 m 350.6 m 142.7 m 4+3 2+3 4+3 2+3 2+3 4+3 2+3 4+3 Configuration of control devices (HAs+LRBs) Structural Dynamics & Vibration Control Lab., KAIST, Korea
PGA: 0.348g Historical earthquake excitations Structural Dynamics & Vibration Control Lab., KAIST, Korea
PGA: 0.348g PGA: 0.143g Historical earthquake excitations Structural Dynamics & Vibration Control Lab., KAIST, Korea
PGA: 0.348g PGA: 0.143g PGA: 0.265g Historical earthquake excitations Structural Dynamics & Vibration Control Lab., KAIST, Korea
Evaluation criteria •J1/J7 : Peak/Normed base shear • J2/J8 : Peak/Normed shear at deck level • J3/J9 : Peak/Normed overturning moment • J4/J10 : Peak/Normed moment at deck level • J5/J11 : Peak/Normed cable tension deviation • J6: Peak Deck dis. at abutment Structural Dynamics & Vibration Control Lab., KAIST, Korea
Analysis results Control performances (a) Uncontrolled (b) RHSIS III Displacement under El Centro earthquake Structural Dynamics & Vibration Control Lab., KAIST, Korea
(a) Uncontrolled (b) RHSIS III Cable tension under El Centro earthquake Structural Dynamics & Vibration Control Lab., KAIST, Korea
(a) Uncontrolled (b) RHSIS III Shear force under El Centro earthquake Structural Dynamics & Vibration Control Lab., KAIST, Korea
• Maximum evaluation criteria for all three earthquakes *Conventional HSIS (HSIS with LQG) Structural Dynamics & Vibration Control Lab., KAIST, Korea
• Maximum evaluation criteria for all three earthquakes *Conventional HSIS (HSIS with LQG) Structural Dynamics & Vibration Control Lab., KAIST, Korea
Controller robustness • The dynamic characteristic of as-built bridge is not identical to the numerical model. • To verify the applicability of RHSIS, the controller robustness is investigated to perturbation of stiffness parameter. where : nominal stiffness matrix : perturbed stiffness matrix : perturbation amount (5% ~ 30 %) Structural Dynamics & Vibration Control Lab., KAIST, Korea
•Maximum variations of evaluation criteria for all three • earthquakes (%, 5% perturbation) Structural Dynamics & Vibration Control Lab., KAIST, Korea
•Maximum variations of evaluation criteria for all three • earthquakes (%, 20% perturbation) Structural Dynamics & Vibration Control Lab., KAIST, Korea
Max. variation of evaluation criteria for variations of stiffness perturbation Structural Dynamics & Vibration Control Lab., KAIST, Korea
Conclusions • Hybrid seismic isolation system with robust control algorithms Has excellent robustness for stiffness perturbation without loss of control performances • RHSIS I obtains robustness only for 5% stiffness perturbations. • RHSIS III has more larger acting region of controller than RHSIS II. Robust hybrid seismic isolation system could effectively be used to seismically excited cable-stayed bridge. Structural Dynamics & Vibration Control Lab., KAIST, Korea
Acknowledgements • This research is supported by the National Research Laboratory (NRL) program from the Ministry of Science of Technology (MOST) and the Grant for Pre-Doctoral Students from the Korea Research Foundation (KRF) in Korea. Thank you for your attention! Structural Dynamics & Vibration Control Lab., KAIST, Korea