Rigid impacts of three-dimensional rocking structures

Studies of rocking motion aim to explain the remarkable earthquake resistance of rocking structures. State-of-the-art assessment methods are mostly based on planar models, despite ongoing efforts to understand the significance of three-dimensionality. Impacts are essential components of rocking moti...

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Bibliographic Details
Published in:Nonlinear dynamics 2022-02, Vol.107 (3), p.1839-1858
Main Authors: Várkonyi, Péter L., Kocsis, Márton, Ther, Tamás
Format: Article
Language:English
Subjects:
Automotive Engineering
Broken symmetry
Classical Mechanics
Control
Dynamical Systems
Earthquake resistance
Earthquakes
Engineering
Mechanical Engineering
Original Paper
Parameter estimation
Three dimensional models
Three dimensional motion
Vibration
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Summary:Studies of rocking motion aim to explain the remarkable earthquake resistance of rocking structures. State-of-the-art assessment methods are mostly based on planar models, despite ongoing efforts to understand the significance of three-dimensionality. Impacts are essential components of rocking motion. We present experimental measurements of free-rocking blocks on a rigid surface, focusing on extreme sensitivity of impacts to geometric imperfections, unpredictability, and the emergence of three-dimensional motion via spontaneous symmetry breaking. These results inspire the development of new impact models of three-dimensional facet and edge impacts of polyhedral objects. Our model is a natural generalization of existing planar models based on the seminal work of George W. Housner. Model parameters are estimated empirically for rectangular blocks. Finally, new perspectives in earthquake assessment of rocking structures are discussed.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-021-06934-x