The aim of the proposed work is to clarify the dynamic behaviour of asymmetric bodies in the case of rocking behaviour. The proposed algorithm is based on Housner theory and the integration of the equations of motion is evaluated with the Runge-Kutta-Fehlberg (RKF45) method. The significant accumulation of numerical errors is evaluated during the integration between two consecutive acceleration points where the rotation sign changes owing to the adoption of an equation that is wrong. An iterative calculation is developed to reduce numerical error depending on a specific tolerance and, therefore, the algorithm accuracy is investigated. In addition, the reduction of energy due to the impact at the point of change of the sign of rotation is analysed by means of a restitution coefficient. It is important to note that this is highly dependent on the rigid block properties, and experimental programmes are required to calibrate the restitution coefficient properly. Sensitivity analyses are performed in order to clarify the effects of convergence parameters and tolerances on the results, due to high numerical instabilities. Furthermore, fragility curves are retrieved based on far-field and near-field sets of accelerograms proposed by the Applied Technology Council in 2008, ATC-63, and a critical discussion is provided concerning the most efficient intensity measure parameters.
Dynamic response of asymmetric bodies assuming a rocking behaviour / Belliazzi, S.; Lignola, G. P.; Cosenza, E.. - In: PROCEEDINGS OF THE INSTITUTION OF CIVIL ENGINEERS. STRUCTURES AND BUILDINGS. - ISSN 0965-0911. - 176:10(2023), pp. 767-777. [10.1680/jstbu.20.00151]
Dynamic response of asymmetric bodies assuming a rocking behaviour
Belliazzi S.;Lignola G. P.
;Cosenza E.
2023
Abstract
The aim of the proposed work is to clarify the dynamic behaviour of asymmetric bodies in the case of rocking behaviour. The proposed algorithm is based on Housner theory and the integration of the equations of motion is evaluated with the Runge-Kutta-Fehlberg (RKF45) method. The significant accumulation of numerical errors is evaluated during the integration between two consecutive acceleration points where the rotation sign changes owing to the adoption of an equation that is wrong. An iterative calculation is developed to reduce numerical error depending on a specific tolerance and, therefore, the algorithm accuracy is investigated. In addition, the reduction of energy due to the impact at the point of change of the sign of rotation is analysed by means of a restitution coefficient. It is important to note that this is highly dependent on the rigid block properties, and experimental programmes are required to calibrate the restitution coefficient properly. Sensitivity analyses are performed in order to clarify the effects of convergence parameters and tolerances on the results, due to high numerical instabilities. Furthermore, fragility curves are retrieved based on far-field and near-field sets of accelerograms proposed by the Applied Technology Council in 2008, ATC-63, and a critical discussion is provided concerning the most efficient intensity measure parameters.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
