In-Plane Vibration Analysis of Square Plate with Multiple Cutouts
A theoretical solution method for the in-plane vibration characteristics of the plate with cutouts is proposed in this paper. The energy principle in conjunction with the Rayleigh–Ritz solution technique is adopted for the theoretical modeling of the in-plane vibration of the structure. The energy f...
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| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2021/5540123 |
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| _version_ | 1832567420681715712 |
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| author | Shuangxia Shi Yinlang Qi Changqing Zhang Qingtai Meng Yinbei Liu Guoyong Jin Bin Xiao |
| author_facet | Shuangxia Shi Yinlang Qi Changqing Zhang Qingtai Meng Yinbei Liu Guoyong Jin Bin Xiao |
| author_sort | Shuangxia Shi |
| collection | DOAJ |
| description | A theoretical solution method for the in-plane vibration characteristics of the plate with cutouts is proposed in this paper. The energy principle in conjunction with the Rayleigh–Ritz solution technique is adopted for the theoretical modeling of the in-plane vibration of the structure. The energy functions for the plate with cutouts are established by subtracting the energies of the cutout domains from the total energies of the whole plate. To ensure continuity over the entire solution domain, the in-plane displacements are composed of two-dimensional standard Fourier series and supplementary functions. The in-plane eigenmodes of the plates with different square cutouts are compared with the results obtained from the finite element method (FEM), with good agreements. The influences of the cutouts on the in-plane vibration characteristics of the plates with cutouts are investigated by varying the number, size, and position of the cutouts. |
| format | Article |
| id | doaj-art-04db8d90bdf84427a4740056501ca4c1 |
| 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-04db8d90bdf84427a4740056501ca4c12025-02-03T01:01:25ZengWileyShock and Vibration1070-96221875-92032021-01-01202110.1155/2021/55401235540123In-Plane Vibration Analysis of Square Plate with Multiple CutoutsShuangxia Shi0Yinlang Qi1Changqing Zhang2Qingtai Meng3Yinbei Liu4Guoyong Jin5Bin Xiao6School of Energy and Power Engineering, Northeast Electric Power University, Jilin 132012, ChinaSchool of Energy and Power Engineering, Northeast Electric Power University, Jilin 132012, ChinaSchool of Energy and Power Engineering, Northeast Electric Power University, Jilin 132012, ChinaSchool of Energy and Power Engineering, Northeast Electric Power University, Jilin 132012, ChinaSchool of Energy and Power Engineering, Northeast Electric Power University, Jilin 132012, ChinaCollege of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, ChinaSchool of Energy and Power Engineering, Northeast Electric Power University, Jilin 132012, ChinaA theoretical solution method for the in-plane vibration characteristics of the plate with cutouts is proposed in this paper. The energy principle in conjunction with the Rayleigh–Ritz solution technique is adopted for the theoretical modeling of the in-plane vibration of the structure. The energy functions for the plate with cutouts are established by subtracting the energies of the cutout domains from the total energies of the whole plate. To ensure continuity over the entire solution domain, the in-plane displacements are composed of two-dimensional standard Fourier series and supplementary functions. The in-plane eigenmodes of the plates with different square cutouts are compared with the results obtained from the finite element method (FEM), with good agreements. The influences of the cutouts on the in-plane vibration characteristics of the plates with cutouts are investigated by varying the number, size, and position of the cutouts.http://dx.doi.org/10.1155/2021/5540123 |
| spellingShingle | Shuangxia Shi Yinlang Qi Changqing Zhang Qingtai Meng Yinbei Liu Guoyong Jin Bin Xiao In-Plane Vibration Analysis of Square Plate with Multiple Cutouts Shock and Vibration |
| title | In-Plane Vibration Analysis of Square Plate with Multiple Cutouts |
| title_full | In-Plane Vibration Analysis of Square Plate with Multiple Cutouts |
| title_fullStr | In-Plane Vibration Analysis of Square Plate with Multiple Cutouts |
| title_full_unstemmed | In-Plane Vibration Analysis of Square Plate with Multiple Cutouts |
| title_short | In-Plane Vibration Analysis of Square Plate with Multiple Cutouts |
| title_sort | in plane vibration analysis of square plate with multiple cutouts |
| url | http://dx.doi.org/10.1155/2021/5540123 |
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