Theory and Implementation of a Two-Step Unconditionally Stable Explicit Integration Algorithm for Vibration Analysis of Structures
Time history analysis is becoming the routine process to quantify the response of the structure under dynamic loads. In this paper, a novel two-step unconditionally stable explicit integration algorithm, named Unconditional Stable Two-Step Explicit Displacement Method (USTEDM), is proposed for vibra...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2016/2831206 |
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| _version_ | 1832568015621718016 |
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| author | Li Changqing Jie Junping Jiang Lizhong T. Y. Yang |
| author_facet | Li Changqing Jie Junping Jiang Lizhong T. Y. Yang |
| author_sort | Li Changqing |
| collection | DOAJ |
| description | Time history analysis is becoming the routine process to quantify the response of the structure under dynamic loads. In this paper, a novel two-step unconditionally stable explicit integration algorithm, named Unconditional Stable Two-Step Explicit Displacement Method (USTEDM), is proposed for vibration analysis of structure. USTEDM is unconditionally stable, requires low memory, produces no overshoot, and is third order accurate. The accuracy and efficiency of USTEDM are presented and compared with other commonly used integration algorithms. The result shows that the proposed algorithm has superior performance and can be used efficiently in solving vibration response of civil engineering structure. |
| format | Article |
| id | doaj-art-99a82a82aa8c417799b687671775ab56 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-99a82a82aa8c417799b687671775ab562025-02-03T00:59:52ZengWileyShock and Vibration1070-96221875-92032016-01-01201610.1155/2016/28312062831206Theory and Implementation of a Two-Step Unconditionally Stable Explicit Integration Algorithm for Vibration Analysis of StructuresLi Changqing0Jie Junping1Jiang Lizhong2T. Y. Yang3School of Civil Engineering, Central South University, Changsha, Hunan 410075, ChinaSchool of Civil Engineering, Central South University, Changsha, Hunan 410075, ChinaSchool of Civil Engineering, Central South University, Changsha, Hunan 410075, ChinaInternational Joint Research Laboratory of Earthquake Engineering, Tongji University, 1239 Siping Road, Shanghai 2000092, ChinaTime history analysis is becoming the routine process to quantify the response of the structure under dynamic loads. In this paper, a novel two-step unconditionally stable explicit integration algorithm, named Unconditional Stable Two-Step Explicit Displacement Method (USTEDM), is proposed for vibration analysis of structure. USTEDM is unconditionally stable, requires low memory, produces no overshoot, and is third order accurate. The accuracy and efficiency of USTEDM are presented and compared with other commonly used integration algorithms. The result shows that the proposed algorithm has superior performance and can be used efficiently in solving vibration response of civil engineering structure.http://dx.doi.org/10.1155/2016/2831206 |
| spellingShingle | Li Changqing Jie Junping Jiang Lizhong T. Y. Yang Theory and Implementation of a Two-Step Unconditionally Stable Explicit Integration Algorithm for Vibration Analysis of Structures Shock and Vibration |
| title | Theory and Implementation of a Two-Step Unconditionally Stable Explicit Integration Algorithm for Vibration Analysis of Structures |
| title_full | Theory and Implementation of a Two-Step Unconditionally Stable Explicit Integration Algorithm for Vibration Analysis of Structures |
| title_fullStr | Theory and Implementation of a Two-Step Unconditionally Stable Explicit Integration Algorithm for Vibration Analysis of Structures |
| title_full_unstemmed | Theory and Implementation of a Two-Step Unconditionally Stable Explicit Integration Algorithm for Vibration Analysis of Structures |
| title_short | Theory and Implementation of a Two-Step Unconditionally Stable Explicit Integration Algorithm for Vibration Analysis of Structures |
| title_sort | theory and implementation of a two step unconditionally stable explicit integration algorithm for vibration analysis of structures |
| url | http://dx.doi.org/10.1155/2016/2831206 |
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