Matching Boundary Conditions for the Euler–Bernoulli Beam
Artificial boundary conditions play a crucial role in the dynamic simulation of infinite Euler–Bernoulli beams. In this paper, a class of artificial boundary conditions, matching boundary conditions (MBCs), is presented to provide effective absorption of incident waves in numerical simulations of th...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2021/6685852 |
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| _version_ | 1832568546964537344 |
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| author | Yaoqi Feng Xianming Wang |
| author_facet | Yaoqi Feng Xianming Wang |
| author_sort | Yaoqi Feng |
| collection | DOAJ |
| description | Artificial boundary conditions play a crucial role in the dynamic simulation of infinite Euler–Bernoulli beams. In this paper, a class of artificial boundary conditions, matching boundary conditions (MBCs), is presented to provide effective absorption of incident waves in numerical simulations of the Euler–Bernoulli beam. First, matching boundary conditions are proposed based on the space central difference scheme of the Euler–Bernoulli beam, and then, the specific coefficients of MBCs are determined by matching the dispersion relation. Moreover, reflection coefficient study and numerical tests are carried out to analyze the effectiveness of the proposed MBCs, indicating a remarkable agreement. Taken together, the proposed boundary conditions herein can absorb dispersive waves efficiently and are more compact than previous artificial boundary conditions, particularly suitable for real-time simulation. |
| format | Article |
| id | doaj-art-10af155d15a34371b4b33bacae9bc1ba |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-10af155d15a34371b4b33bacae9bc1ba2025-02-03T00:58:45ZengWileyShock and Vibration1070-96221875-92032021-01-01202110.1155/2021/66858526685852Matching Boundary Conditions for the Euler–Bernoulli BeamYaoqi Feng0Xianming Wang1Key Laboratory for Special Purpose Equipment and Advanced Manufacturing Technology, College of Mechanical Engineering, Ministry of Education and Zhejiang Province, Zhejiang University of Technology, Hangzhou 310014, ChinaKey Laboratory for Special Purpose Equipment and Advanced Manufacturing Technology, College of Mechanical Engineering, Ministry of Education and Zhejiang Province, Zhejiang University of Technology, Hangzhou 310014, ChinaArtificial boundary conditions play a crucial role in the dynamic simulation of infinite Euler–Bernoulli beams. In this paper, a class of artificial boundary conditions, matching boundary conditions (MBCs), is presented to provide effective absorption of incident waves in numerical simulations of the Euler–Bernoulli beam. First, matching boundary conditions are proposed based on the space central difference scheme of the Euler–Bernoulli beam, and then, the specific coefficients of MBCs are determined by matching the dispersion relation. Moreover, reflection coefficient study and numerical tests are carried out to analyze the effectiveness of the proposed MBCs, indicating a remarkable agreement. Taken together, the proposed boundary conditions herein can absorb dispersive waves efficiently and are more compact than previous artificial boundary conditions, particularly suitable for real-time simulation.http://dx.doi.org/10.1155/2021/6685852 |
| spellingShingle | Yaoqi Feng Xianming Wang Matching Boundary Conditions for the Euler–Bernoulli Beam Shock and Vibration |
| title | Matching Boundary Conditions for the Euler–Bernoulli Beam |
| title_full | Matching Boundary Conditions for the Euler–Bernoulli Beam |
| title_fullStr | Matching Boundary Conditions for the Euler–Bernoulli Beam |
| title_full_unstemmed | Matching Boundary Conditions for the Euler–Bernoulli Beam |
| title_short | Matching Boundary Conditions for the Euler–Bernoulli Beam |
| title_sort | matching boundary conditions for the euler bernoulli beam |
| url | http://dx.doi.org/10.1155/2021/6685852 |
| work_keys_str_mv | AT yaoqifeng matchingboundaryconditionsfortheeulerbernoullibeam AT xianmingwang matchingboundaryconditionsfortheeulerbernoullibeam |