Performance Assessment of an Energy–Based Approximation Method for the Dynamic Capacity of RC Frames Subjected to Sudden Column Removal Scenarios
The alternative load path method is widely used to assess the progressive collapse performance of reinforced concrete structures. As an alternative to an accurate non–linear dynamic analysis, an energy–based method (EBM) can also be adopted to approximately calculate the dynamic load–bearing capacit...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-08-01
|
| Series: | Applied Sciences |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2076-3417/11/16/7492 |
| _version_ | 1797524761224413184 |
|---|---|
| author | Luchuan Ding Ruben Van Coile Wouter Botte Robby Caspeele |
| author_facet | Luchuan Ding Ruben Van Coile Wouter Botte Robby Caspeele |
| author_sort | Luchuan Ding |
| collection | DOAJ |
| description | The alternative load path method is widely used to assess the progressive collapse performance of reinforced concrete structures. As an alternative to an accurate non–linear dynamic analysis, an energy–based method (EBM) can also be adopted to approximately calculate the dynamic load–bearing capacity curve or the dynamic resistance based on a static capacity curve. However, dynamic effects cannot be explicitly taken into account in the EBM. The model uncertainty associated with the use of the EBM for evaluating the dynamic ultimate capacity of structural frames has not yet been quantified. Knowledge of this model uncertainty is however necessary when applying EBM as part of reliability calculations, for example, in relation to structural robustness quantification. Hence, this article focuses on the evaluation of the performance of the EBM and the quantification of its model uncertainty in the context of reliability–based assessments of progressive or disproportionate collapse. The influences of damping effects and different column removal scenarios are investigated. As a result, it is found that damping effects have a limited influence on the performance of the EBM. In the case of an external column removal scenario, the performance of the EBM is lower as the response is not a single deformation mode according to the results in the frequency domain. However, a good performance is found in the case of an internal column removal scenario in which the assumption of a single deformation mode is found to be sufficiently adequate. Probabilistic models for the model uncertainties related to the use of the EBM compared to direct dynamic analyses are proposed in relation to both the resistances and the associated displacements. Overall, the EBM shows to be an adequate approximation, resulting in a small bias and small standard deviation for its associated model uncertainty. |
| first_indexed | 2024-03-10T09:01:06Z |
| format | Article |
| id | doaj.art-2a3d2d85359b4a97a8a79f1f9920b94e |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T09:01:06Z |
| publishDate | 2021-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-2a3d2d85359b4a97a8a79f1f9920b94e2023-11-22T06:42:28ZengMDPI AGApplied Sciences2076-34172021-08-011116749210.3390/app11167492Performance Assessment of an Energy–Based Approximation Method for the Dynamic Capacity of RC Frames Subjected to Sudden Column Removal ScenariosLuchuan Ding0Ruben Van Coile1Wouter Botte2Robby Caspeele3Department of Structural Engineering and Building Materials, Ghent University, 9052 Ghent, BelgiumDepartment of Structural Engineering and Building Materials, Ghent University, 9052 Ghent, BelgiumDepartment of Structural Engineering and Building Materials, Ghent University, 9052 Ghent, BelgiumDepartment of Structural Engineering and Building Materials, Ghent University, 9052 Ghent, BelgiumThe alternative load path method is widely used to assess the progressive collapse performance of reinforced concrete structures. As an alternative to an accurate non–linear dynamic analysis, an energy–based method (EBM) can also be adopted to approximately calculate the dynamic load–bearing capacity curve or the dynamic resistance based on a static capacity curve. However, dynamic effects cannot be explicitly taken into account in the EBM. The model uncertainty associated with the use of the EBM for evaluating the dynamic ultimate capacity of structural frames has not yet been quantified. Knowledge of this model uncertainty is however necessary when applying EBM as part of reliability calculations, for example, in relation to structural robustness quantification. Hence, this article focuses on the evaluation of the performance of the EBM and the quantification of its model uncertainty in the context of reliability–based assessments of progressive or disproportionate collapse. The influences of damping effects and different column removal scenarios are investigated. As a result, it is found that damping effects have a limited influence on the performance of the EBM. In the case of an external column removal scenario, the performance of the EBM is lower as the response is not a single deformation mode according to the results in the frequency domain. However, a good performance is found in the case of an internal column removal scenario in which the assumption of a single deformation mode is found to be sufficiently adequate. Probabilistic models for the model uncertainties related to the use of the EBM compared to direct dynamic analyses are proposed in relation to both the resistances and the associated displacements. Overall, the EBM shows to be an adequate approximation, resulting in a small bias and small standard deviation for its associated model uncertainty.https://www.mdpi.com/2076-3417/11/16/7492progressive collapseenergy–based methoduncertaintydynamic analysisreinforced concretecolumn removal scenario |
| spellingShingle | Luchuan Ding Ruben Van Coile Wouter Botte Robby Caspeele Performance Assessment of an Energy–Based Approximation Method for the Dynamic Capacity of RC Frames Subjected to Sudden Column Removal Scenarios Applied Sciences progressive collapse energy–based method uncertainty dynamic analysis reinforced concrete column removal scenario |
| title | Performance Assessment of an Energy–Based Approximation Method for the Dynamic Capacity of RC Frames Subjected to Sudden Column Removal Scenarios |
| title_full | Performance Assessment of an Energy–Based Approximation Method for the Dynamic Capacity of RC Frames Subjected to Sudden Column Removal Scenarios |
| title_fullStr | Performance Assessment of an Energy–Based Approximation Method for the Dynamic Capacity of RC Frames Subjected to Sudden Column Removal Scenarios |
| title_full_unstemmed | Performance Assessment of an Energy–Based Approximation Method for the Dynamic Capacity of RC Frames Subjected to Sudden Column Removal Scenarios |
| title_short | Performance Assessment of an Energy–Based Approximation Method for the Dynamic Capacity of RC Frames Subjected to Sudden Column Removal Scenarios |
| title_sort | performance assessment of an energy based approximation method for the dynamic capacity of rc frames subjected to sudden column removal scenarios |
| topic | progressive collapse energy–based method uncertainty dynamic analysis reinforced concrete column removal scenario |
| url | https://www.mdpi.com/2076-3417/11/16/7492 |
| work_keys_str_mv | AT luchuanding performanceassessmentofanenergybasedapproximationmethodforthedynamiccapacityofrcframessubjectedtosuddencolumnremovalscenarios AT rubenvancoile performanceassessmentofanenergybasedapproximationmethodforthedynamiccapacityofrcframessubjectedtosuddencolumnremovalscenarios AT wouterbotte performanceassessmentofanenergybasedapproximationmethodforthedynamiccapacityofrcframessubjectedtosuddencolumnremovalscenarios AT robbycaspeele performanceassessmentofanenergybasedapproximationmethodforthedynamiccapacityofrcframessubjectedtosuddencolumnremovalscenarios |