Vibration Analysis of Plate with Irregular Cracks by Differential Quadrature Finite Element Method
A universal method combining the differential quadrature finite element method with the virtual spring technique for analyzing the free vibration of thin plate with irregular cracks is proposed. Translational and rotational springs are introduced to restrain the vertical displacement and orientation...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2017/2073453 |
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| _version_ | 1849305102575206400 |
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| author | Zhongyuan Xu Wei Chen |
| author_facet | Zhongyuan Xu Wei Chen |
| author_sort | Zhongyuan Xu |
| collection | DOAJ |
| description | A universal method combining the differential quadrature finite element method with the virtual spring technique for analyzing the free vibration of thin plate with irregular cracks is proposed. Translational and rotational springs are introduced to restrain the vertical displacement and orientation of the plate. The mass matrix and stiffness matrix for each element are deduced involving the effects of the virtual springs. The connection relationships between elements can be modified by setting the stiffness of the virtual springs. The vibration of two rectangular plates with three irregular shaped cracks and different boundary conditions are presented. The results are compared with those obtained by ANSYS, where the good agreement between the results validates the accuracy and efficiency of the present method. |
| format | Article |
| id | doaj-art-3cdad88668b14ef3ad4adeb7fde88ef8 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-3cdad88668b14ef3ad4adeb7fde88ef82025-08-20T03:55:33ZengWileyShock and Vibration1070-96221875-92032017-01-01201710.1155/2017/20734532073453Vibration Analysis of Plate with Irregular Cracks by Differential Quadrature Finite Element MethodZhongyuan Xu0Wei Chen1School of Economics and Management, Harbin Engineering University, Harbin 150001, ChinaSchool of Economics and Management, Harbin Engineering University, Harbin 150001, ChinaA universal method combining the differential quadrature finite element method with the virtual spring technique for analyzing the free vibration of thin plate with irregular cracks is proposed. Translational and rotational springs are introduced to restrain the vertical displacement and orientation of the plate. The mass matrix and stiffness matrix for each element are deduced involving the effects of the virtual springs. The connection relationships between elements can be modified by setting the stiffness of the virtual springs. The vibration of two rectangular plates with three irregular shaped cracks and different boundary conditions are presented. The results are compared with those obtained by ANSYS, where the good agreement between the results validates the accuracy and efficiency of the present method.http://dx.doi.org/10.1155/2017/2073453 |
| spellingShingle | Zhongyuan Xu Wei Chen Vibration Analysis of Plate with Irregular Cracks by Differential Quadrature Finite Element Method Shock and Vibration |
| title | Vibration Analysis of Plate with Irregular Cracks by Differential Quadrature Finite Element Method |
| title_full | Vibration Analysis of Plate with Irregular Cracks by Differential Quadrature Finite Element Method |
| title_fullStr | Vibration Analysis of Plate with Irregular Cracks by Differential Quadrature Finite Element Method |
| title_full_unstemmed | Vibration Analysis of Plate with Irregular Cracks by Differential Quadrature Finite Element Method |
| title_short | Vibration Analysis of Plate with Irregular Cracks by Differential Quadrature Finite Element Method |
| title_sort | vibration analysis of plate with irregular cracks by differential quadrature finite element method |
| url | http://dx.doi.org/10.1155/2017/2073453 |
| work_keys_str_mv | AT zhongyuanxu vibrationanalysisofplatewithirregularcracksbydifferentialquadraturefiniteelementmethod AT weichen vibrationanalysisofplatewithirregularcracksbydifferentialquadraturefiniteelementmethod |