Dynamics-Based Analytical Correlation between Flexure–Shear Coupled Model and Frame–Tube–Outrigger Model for Frame Core–Tube Structural Systems
Publication: Journal of Engineering Mechanics
Volume 148, Issue 11
Abstract
To establish a physically direct link between the subsystem-level stiffness demand (i.e., the external frame system, internal core tube, link beam system, and outrigger-belt system) and that at the global system level of frame core-tube structural systems that have been commonly used in super high-rise buildings, this paper examines the analytical correlation of the dynamic characteristics between the modified flexure-shear coupled model (FSM-MS) and modified frame-tube-outrigger model (MFTOM) proposed previously. The MFTOM is developed with the appropriate distribution functions of linear density and subsystem stiffness in the frame-core tube system, and its approximate vibration periods are analytically determined by the rationally assumed mode shape and derived approximate mode shape derivative and curvature. From the perspective of the energy balance of the free vibration, the frequency amplification factor induced by outriggers is formulated. The effectiveness of the correlation established by the first two order vibration periods is systematically demonstrated from a series of cases, from the aspects of vibration periods and inter-story drift ratios. The results of the parameter analysis indicate that the influence of the outrigger on the structural shear-flexural stiffness ratio is mainly realized by the constraint on the flexural deformation of the core tube and the amplification of the axial deformation of the column. The proposed correlation not only provides a reliable theoretical basis for distributing the structural lateral stiffness to the subsystem stiffness in the preliminary design, but can also be used as a practical tool to adjust the overall lateral deformation shape of the frame-core tube system.
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Data Availability Statement
All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The authors would like express their gratitude to the financial support from the National Natural Science Foundation of China (Grant No. 52078105).
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Published In
Journal of Engineering Mechanics
Volume 148 • Issue 11 • November 2022
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Jan 26, 2022
Accepted: Jun 22, 2022
Published online: Sep 14, 2022
Published in print: Nov 1, 2022
Discussion open until: Feb 14, 2023
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