TY - JOUR
T1 - Robustness of multi-mode control using tuned mass dampers for seismically excited structures
AU - Gill, Deepika
AU - Elias, Said
AU - Steinbrecher, Andreas
AU - Schröder, Christian
AU - Matsagar, Vasant
N1 - Funding Information:
Acknowledgements The authors thankfully acknowledge the constructive comments given by the anonymous reviewers to improve overall quality of the paper. The financial assistance provided by the German Academic Exchange Service (DAAD) to the first author through ‘‘IIT Master Sandwich Scholarships’’ is also gratefully acknowledged.
Publisher Copyright:
© 2017, Springer Science+Business Media B.V.
PY - 2017/12/1
Y1 - 2017/12/1
N2 - Robustness in multi-mode control of structures using tuned mass dampers (TMDs) is presented under seismic excitations. The robustness of the distributed multiple TMDs, i.e. d-MTMDs is compared with single TMD (STMD) and with multiple TMDs all installed at the top of the building (MTMDs-all.top). A 20-storey steel benchmark building subjected to earthquake ground motion is modeled, wherein stiffness and damping are considered with uncertainty in order to investigate the robustness of the STMD, MTMDs-all.top, and d-MTMDs. The d-MTMDs are distributed along the height of the building according to the mode shapes of the controlled and uncontrolled building. Monte-Carlo simulation is used to generate the uncertain stiffness and damping matrices of the 20-storey benchmark building. Parameters of the STMD, MTMDs-all.top, and d-MTMDs are optimized for each set of structural stiffness and damping matrices, and the probability distribution of the objective function is evaluated. The optimized parameters (mass ratio and damping ratio) are selected corresponding to the robust interval of the objective function calculated using the probability distribution. The results show that d-MTMDs perform satisfactorily even in the presence of the considered uncertainties and their performance is superior to that of the STMD and MTMDs-all.top in seismic response control of the structures.
AB - Robustness in multi-mode control of structures using tuned mass dampers (TMDs) is presented under seismic excitations. The robustness of the distributed multiple TMDs, i.e. d-MTMDs is compared with single TMD (STMD) and with multiple TMDs all installed at the top of the building (MTMDs-all.top). A 20-storey steel benchmark building subjected to earthquake ground motion is modeled, wherein stiffness and damping are considered with uncertainty in order to investigate the robustness of the STMD, MTMDs-all.top, and d-MTMDs. The d-MTMDs are distributed along the height of the building according to the mode shapes of the controlled and uncontrolled building. Monte-Carlo simulation is used to generate the uncertain stiffness and damping matrices of the 20-storey benchmark building. Parameters of the STMD, MTMDs-all.top, and d-MTMDs are optimized for each set of structural stiffness and damping matrices, and the probability distribution of the objective function is evaluated. The optimized parameters (mass ratio and damping ratio) are selected corresponding to the robust interval of the objective function calculated using the probability distribution. The results show that d-MTMDs perform satisfactorily even in the presence of the considered uncertainties and their performance is superior to that of the STMD and MTMDs-all.top in seismic response control of the structures.
KW - Benchmark building
KW - d-MTMDs
KW - Monte-Carlo simulation
KW - Robust optimum design
KW - Uncertainty
UR - http://www.scopus.com/inward/record.url?scp=85021789271&partnerID=8YFLogxK
U2 - 10.1007/s10518-017-0187-6
DO - 10.1007/s10518-017-0187-6
M3 - Article
AN - SCOPUS:85021789271
SN - 1570-761X
VL - 15
SP - 5579
EP - 5603
JO - Bulletin of Earthquake Engineering
JF - Bulletin of Earthquake Engineering
IS - 12
ER -