Non-Proportionality Indices and Error Constraint in Modal Analysis of Viscously Damped Linear Structures
Use of modal procedures in systems with non-proportional damping (such as structures with added viscous damping systems) results in response errors, shown in this study to depend on dissimilar and often conflicting conditions for different variables and stories; thus, it is not possible to propose s...
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MDPI AG
2021-06-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/11/13/6064 |
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| author | Jorge Conde Alejandro Bernabeu |
| author_facet | Jorge Conde Alejandro Bernabeu |
| author_sort | Jorge Conde |
| collection | DOAJ |
| description | Use of modal procedures in systems with non-proportional damping (such as structures with added viscous damping systems) results in response errors, shown in this study to depend on dissimilar and often conflicting conditions for different variables and stories; thus, it is not possible to propose simple rules based on structural or damping properties to limit the error in a global way. However, four existing indices (originally proposed to measure damping non-proportionality) present a positive correlation with the extreme errors in modal procedures for all variables and stories. Thus, limiting the index value is a sufficient condition to keep the error in all variables within a given threshold. For practical application, limit values for these indices are tabulated as a function of error and can be used as an acceptance criterion for the validity of modal procedures. |
| first_indexed | 2024-03-10T09:57:17Z |
| format | Article |
| id | doaj.art-fdfc74cf365a4852a613aca703db87e5 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T09:57:17Z |
| publishDate | 2021-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-fdfc74cf365a4852a613aca703db87e52023-11-22T02:18:30ZengMDPI AGApplied Sciences2076-34172021-06-011113606410.3390/app11136064Non-Proportionality Indices and Error Constraint in Modal Analysis of Viscously Damped Linear StructuresJorge Conde0Alejandro Bernabeu1Departamento de Estructuras y Física de la Edificación, Escuela Técnica Superior de Arquitectura, Universidad Politécnica de Madrid, Av. Juan de Herrera, 4, 28040 Madrid, SpainDepartamento de Estructuras y Física de la Edificación, Escuela Técnica Superior de Arquitectura, Universidad Politécnica de Madrid, Av. Juan de Herrera, 4, 28040 Madrid, SpainUse of modal procedures in systems with non-proportional damping (such as structures with added viscous damping systems) results in response errors, shown in this study to depend on dissimilar and often conflicting conditions for different variables and stories; thus, it is not possible to propose simple rules based on structural or damping properties to limit the error in a global way. However, four existing indices (originally proposed to measure damping non-proportionality) present a positive correlation with the extreme errors in modal procedures for all variables and stories. Thus, limiting the index value is a sufficient condition to keep the error in all variables within a given threshold. For practical application, limit values for these indices are tabulated as a function of error and can be used as an acceptance criterion for the validity of modal procedures.https://www.mdpi.com/2076-3417/11/13/6064viscous dampersmodal analysisresponse spectrum analysisnon-proportionality indicesproportional damping |
| spellingShingle | Jorge Conde Alejandro Bernabeu Non-Proportionality Indices and Error Constraint in Modal Analysis of Viscously Damped Linear Structures Applied Sciences viscous dampers modal analysis response spectrum analysis non-proportionality indices proportional damping |
| title | Non-Proportionality Indices and Error Constraint in Modal Analysis of Viscously Damped Linear Structures |
| title_full | Non-Proportionality Indices and Error Constraint in Modal Analysis of Viscously Damped Linear Structures |
| title_fullStr | Non-Proportionality Indices and Error Constraint in Modal Analysis of Viscously Damped Linear Structures |
| title_full_unstemmed | Non-Proportionality Indices and Error Constraint in Modal Analysis of Viscously Damped Linear Structures |
| title_short | Non-Proportionality Indices and Error Constraint in Modal Analysis of Viscously Damped Linear Structures |
| title_sort | non proportionality indices and error constraint in modal analysis of viscously damped linear structures |
| topic | viscous dampers modal analysis response spectrum analysis non-proportionality indices proportional damping |
| url | https://www.mdpi.com/2076-3417/11/13/6064 |
| work_keys_str_mv | AT jorgeconde nonproportionalityindicesanderrorconstraintinmodalanalysisofviscouslydampedlinearstructures AT alejandrobernabeu nonproportionalityindicesanderrorconstraintinmodalanalysisofviscouslydampedlinearstructures |