A Nonlinear Statistical Approach for Damping Uncertainty Propagation in Structural Dynamics
The object of the present study is to investigate the influence of damping uncertainty and statistical correlation on the dynamic response of structures with random damping parameters in the neighbourhood of a resonant frequency. A Non-Linear Statistical model (NLSM) is successfully demonstrated to...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2016-03-01
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| Series: | Archives of Civil Engineering |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/ace.2016.62.issue-1/ace-2015-0048/ace-2015-0048.xml?format=INT |
| _version_ | 1818465969443438592 |
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| author | Tiliouine B. Chemali B. |
| author_facet | Tiliouine B. Chemali B. |
| author_sort | Tiliouine B. |
| collection | DOAJ |
| description | The object of the present study is to investigate the influence of damping uncertainty and statistical correlation on the dynamic response of structures with random damping parameters in the neighbourhood of a resonant frequency. A Non-Linear Statistical model (NLSM) is successfully demonstrated to predict the probabilistic response of an industrial building structure with correlated random damping. A practical computational technique to generate first and second-order sensitivity derivatives is presented and the validity of the predicted statistical moments is checked by traditional Monte Carlo simulation. Simulation results show the effectiveness of the NLSM to estimate uncertainty propagation in structural dynamics. In addition, it is demonstrated that the uncertainty in damping indeed influences the system response with the effects being more pronounced for lightly damped structures, higher variability and higher statistical correlation of damping parameters. |
| first_indexed | 2024-04-13T20:52:10Z |
| format | Article |
| id | doaj.art-dedb720f2c71469a8940df0a129fc7fa |
| institution | Directory Open Access Journal |
| issn | 1230-2945 |
| language | English |
| last_indexed | 2024-04-13T20:52:10Z |
| publishDate | 2016-03-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Civil Engineering |
| spelling | doaj.art-dedb720f2c71469a8940df0a129fc7fa2022-12-22T02:30:27ZengPolish Academy of SciencesArchives of Civil Engineering1230-29452016-03-01621112410.1515/ace-2015-0048ace-2015-0048A Nonlinear Statistical Approach for Damping Uncertainty Propagation in Structural DynamicsTiliouine B.0Chemali B.1Ecole Nationale Polytechnique, Department of Civil Engineering, 10 Avenue H.Badi, 16200 Algiers, AlgeriaPhD candidate., Ecole Nationale Polytechnique, Department of Civil Engineering, 10 Avenue H.Badi, 16200 AlgiersThe object of the present study is to investigate the influence of damping uncertainty and statistical correlation on the dynamic response of structures with random damping parameters in the neighbourhood of a resonant frequency. A Non-Linear Statistical model (NLSM) is successfully demonstrated to predict the probabilistic response of an industrial building structure with correlated random damping. A practical computational technique to generate first and second-order sensitivity derivatives is presented and the validity of the predicted statistical moments is checked by traditional Monte Carlo simulation. Simulation results show the effectiveness of the NLSM to estimate uncertainty propagation in structural dynamics. In addition, it is demonstrated that the uncertainty in damping indeed influences the system response with the effects being more pronounced for lightly damped structures, higher variability and higher statistical correlation of damping parameters.http://www.degruyter.com/view/j/ace.2016.62.issue-1/ace-2015-0048/ace-2015-0048.xml?format=INTUncertainty propagationcorrelated dampingstructural dynamicssensitivity derivativesMonte Carlo simulationnonlinear statistical model |
| spellingShingle | Tiliouine B. Chemali B. A Nonlinear Statistical Approach for Damping Uncertainty Propagation in Structural Dynamics Archives of Civil Engineering Uncertainty propagation correlated damping structural dynamics sensitivity derivatives Monte Carlo simulation nonlinear statistical model |
| title | A Nonlinear Statistical Approach for Damping Uncertainty Propagation in Structural Dynamics |
| title_full | A Nonlinear Statistical Approach for Damping Uncertainty Propagation in Structural Dynamics |
| title_fullStr | A Nonlinear Statistical Approach for Damping Uncertainty Propagation in Structural Dynamics |
| title_full_unstemmed | A Nonlinear Statistical Approach for Damping Uncertainty Propagation in Structural Dynamics |
| title_short | A Nonlinear Statistical Approach for Damping Uncertainty Propagation in Structural Dynamics |
| title_sort | nonlinear statistical approach for damping uncertainty propagation in structural dynamics |
| topic | Uncertainty propagation correlated damping structural dynamics sensitivity derivatives Monte Carlo simulation nonlinear statistical model |
| url | http://www.degruyter.com/view/j/ace.2016.62.issue-1/ace-2015-0048/ace-2015-0048.xml?format=INT |
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