TY - JOUR
T1 - Design of passive interconnections in tall buildings subject to earthquake disturbances to suppress inter-storey drifts
AU - Yamamoto, K.
AU - Smith, M. C.
N1 - Funding Information:
This work was supported in part by Funai Overseas Scholarship, by NSF under Grant ECCS-1509387 and by the AFOSR under Grants FA9550-12-1-0319 and FA9550-15-1-0045.
Publisher Copyright:
© Published under licence by IOP Publishing Ltd.
PY - 2016/10/3
Y1 - 2016/10/3
N2 - This paper studies the problem of passive control of a multi-storey building subjected to an earthquake disturbance. The building is represented as a homogeneous mass chain model, i.e., a chain of identical masses in which there is an identical passive connection between neighbouring masses and a similar connection to a movable point. The paper considers passive interconnections of the most general type, which may require the use of inerters in addition to springs and dampers. It is shown that the scalar transfer functions from the disturbance to a given inter-storey drift can be represented as complex iterative maps. Using these expressions, two graphical approaches are proposed: one gives a method to achieve a prescribed value for the uniform boundedness of these transfer functions independent of the length of the mass chain, and the other is for a fixed length of the mass chain. A case study is presented to demonstrate the effectiveness of the proposed techniques using a 10-storey building model. The disturbance suppression performance of the designed interconnection is also verified for a 10-storey building model which has a different stiffness distribution but with the same undamped first natural frequency as the homogeneous model.
AB - This paper studies the problem of passive control of a multi-storey building subjected to an earthquake disturbance. The building is represented as a homogeneous mass chain model, i.e., a chain of identical masses in which there is an identical passive connection between neighbouring masses and a similar connection to a movable point. The paper considers passive interconnections of the most general type, which may require the use of inerters in addition to springs and dampers. It is shown that the scalar transfer functions from the disturbance to a given inter-storey drift can be represented as complex iterative maps. Using these expressions, two graphical approaches are proposed: one gives a method to achieve a prescribed value for the uniform boundedness of these transfer functions independent of the length of the mass chain, and the other is for a fixed length of the mass chain. A case study is presented to demonstrate the effectiveness of the proposed techniques using a 10-storey building model. The disturbance suppression performance of the designed interconnection is also verified for a 10-storey building model which has a different stiffness distribution but with the same undamped first natural frequency as the homogeneous model.
UR - http://www.scopus.com/inward/record.url?scp=84994092802&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84994092802&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/744/1/012063
DO - 10.1088/1742-6596/744/1/012063
M3 - Conference article
AN - SCOPUS:84994092802
VL - 744
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
SN - 1742-6588
IS - 1
M1 - 012063
T2 - 13th International Conference on Motion and Vibration Control, MOVIC 2016 and the 12th International Conference on Recent Advances in Structural Dynamics, RASD 2016
Y2 - 4 July 2016 through 6 July 2016
ER -