Prediction of the Transient Local Energy by Energy Finite Element Analysis
Energy finite element analysis (EFEA) has been successfully applied to steady-state response prediction over the past three decades. Compared with other energy-based methods, such as statistical energy analysis (SEA), EFEA can consider more local structural information without increasing the computa...
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| Format: | Article |
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MDPI AG
2023-11-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/22/4590 |
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| author | Huaizhi Wang Kaiping Yu Rui Zhao |
| author_facet | Huaizhi Wang Kaiping Yu Rui Zhao |
| author_sort | Huaizhi Wang |
| collection | DOAJ |
| description | Energy finite element analysis (EFEA) has been successfully applied to steady-state response prediction over the past three decades. Compared with other energy-based methods, such as statistical energy analysis (SEA), EFEA can consider more local structural information without increasing the computational consumption too much, which makes it attractive. Inspired by the transient local energy approach (TLEA), a general transient energy balance equation was derived by assuming that the plane wave condition is satisfied. The properties of the energy balance equation were studied, and the analytical solutions with different initial conditions were provided. Utilizing the derived transient energy balance equation, transient EFEA is proposed, which has the same advantages as EFEA. A general formula is presented for the energy transmission coefficients of any number of coupled in-plane beams. The present approach was validated using a single beam and a coupled collinear beam structure under unloading conditions. The coupled collinear beams were also investigated using constant and quasi-static input power. The validation results show that TEFEA can accurately predict the local response of the structure. All of these results were compared with those of finite element analysis (FEA), simplified TEFEA (sTEFEA), transient statistical energy analysis (TSEA), and analytical formulas. |
| first_indexed | 2024-03-09T16:38:06Z |
| format | Article |
| id | doaj.art-56880991ca664695ae393f1dd555c434 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T16:38:06Z |
| publishDate | 2023-11-01 |
| publisher | MDPI AG |
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| series | Mathematics |
| spelling | doaj.art-56880991ca664695ae393f1dd555c4342023-11-24T14:54:07ZengMDPI AGMathematics2227-73902023-11-011122459010.3390/math11224590Prediction of the Transient Local Energy by Energy Finite Element AnalysisHuaizhi Wang0Kaiping Yu1Rui Zhao2Department of Astronautic Science and Mechanics, Harbin Institute of Technology, No.92 West Dazhi Street, Harbin 150001, ChinaDepartment of Astronautic Science and Mechanics, Harbin Institute of Technology, No.92 West Dazhi Street, Harbin 150001, ChinaDepartment of Astronautic Science and Mechanics, Harbin Institute of Technology, No.92 West Dazhi Street, Harbin 150001, ChinaEnergy finite element analysis (EFEA) has been successfully applied to steady-state response prediction over the past three decades. Compared with other energy-based methods, such as statistical energy analysis (SEA), EFEA can consider more local structural information without increasing the computational consumption too much, which makes it attractive. Inspired by the transient local energy approach (TLEA), a general transient energy balance equation was derived by assuming that the plane wave condition is satisfied. The properties of the energy balance equation were studied, and the analytical solutions with different initial conditions were provided. Utilizing the derived transient energy balance equation, transient EFEA is proposed, which has the same advantages as EFEA. A general formula is presented for the energy transmission coefficients of any number of coupled in-plane beams. The present approach was validated using a single beam and a coupled collinear beam structure under unloading conditions. The coupled collinear beams were also investigated using constant and quasi-static input power. The validation results show that TEFEA can accurately predict the local response of the structure. All of these results were compared with those of finite element analysis (FEA), simplified TEFEA (sTEFEA), transient statistical energy analysis (TSEA), and analytical formulas.https://www.mdpi.com/2227-7390/11/22/4590transient energy finite element analysis (TEFEA)transient statistical energy analysis (TSEA)energy flow analysis (EFA)high-frequency vibration |
| spellingShingle | Huaizhi Wang Kaiping Yu Rui Zhao Prediction of the Transient Local Energy by Energy Finite Element Analysis Mathematics transient energy finite element analysis (TEFEA) transient statistical energy analysis (TSEA) energy flow analysis (EFA) high-frequency vibration |
| title | Prediction of the Transient Local Energy by Energy Finite Element Analysis |
| title_full | Prediction of the Transient Local Energy by Energy Finite Element Analysis |
| title_fullStr | Prediction of the Transient Local Energy by Energy Finite Element Analysis |
| title_full_unstemmed | Prediction of the Transient Local Energy by Energy Finite Element Analysis |
| title_short | Prediction of the Transient Local Energy by Energy Finite Element Analysis |
| title_sort | prediction of the transient local energy by energy finite element analysis |
| topic | transient energy finite element analysis (TEFEA) transient statistical energy analysis (TSEA) energy flow analysis (EFA) high-frequency vibration |
| url | https://www.mdpi.com/2227-7390/11/22/4590 |
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