Three-Dimensional Elasticity Solutions for Sound Radiation of Functionally Graded Materials Plates considering State Space Method
This paper presents an analytical study for sound radiation of functionally graded materials (FGM) plate based on the three-dimensional theory of elasticity. The FGM plate is a mixture of metal and ceramic, and its material properties are assumed to have smooth and continuous variation in the thickn...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2016/1403856 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832554610033688576 |
|---|---|
| author | Tieliang Yang Qibai Huang Shande Li |
| author_facet | Tieliang Yang Qibai Huang Shande Li |
| author_sort | Tieliang Yang |
| collection | DOAJ |
| description | This paper presents an analytical study for sound radiation of functionally graded materials (FGM) plate based on the three-dimensional theory of elasticity. The FGM plate is a mixture of metal and ceramic, and its material properties are assumed to have smooth and continuous variation in the thickness direction according to a power-law distribution in terms of volume fractions of the constituents. Based on the three-dimensional theory of elasticity and state space method, the governing equations with variable coefficients of the FGM plate are derived. The sound radiation of the vibration plate is calculated with Rayleigh integral. Comparisons of the present results with those of solutions in the available literature are made and good agreements are achieved. Finally, some parametric studies are carried out to investigate the sound radiation properties of FGM plates. |
| format | Article |
| id | doaj-art-05920d9dae37427bbe3d916bf9c355a0 |
| 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-05920d9dae37427bbe3d916bf9c355a02025-02-03T05:50:53ZengWileyShock and Vibration1070-96221875-92032016-01-01201610.1155/2016/14038561403856Three-Dimensional Elasticity Solutions for Sound Radiation of Functionally Graded Materials Plates considering State Space MethodTieliang Yang0Qibai Huang1Shande Li2State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan 430074, ChinaState Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan 430074, ChinaState Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan 430074, ChinaThis paper presents an analytical study for sound radiation of functionally graded materials (FGM) plate based on the three-dimensional theory of elasticity. The FGM plate is a mixture of metal and ceramic, and its material properties are assumed to have smooth and continuous variation in the thickness direction according to a power-law distribution in terms of volume fractions of the constituents. Based on the three-dimensional theory of elasticity and state space method, the governing equations with variable coefficients of the FGM plate are derived. The sound radiation of the vibration plate is calculated with Rayleigh integral. Comparisons of the present results with those of solutions in the available literature are made and good agreements are achieved. Finally, some parametric studies are carried out to investigate the sound radiation properties of FGM plates.http://dx.doi.org/10.1155/2016/1403856 |
| spellingShingle | Tieliang Yang Qibai Huang Shande Li Three-Dimensional Elasticity Solutions for Sound Radiation of Functionally Graded Materials Plates considering State Space Method Shock and Vibration |
| title | Three-Dimensional Elasticity Solutions for Sound Radiation of Functionally Graded Materials Plates considering State Space Method |
| title_full | Three-Dimensional Elasticity Solutions for Sound Radiation of Functionally Graded Materials Plates considering State Space Method |
| title_fullStr | Three-Dimensional Elasticity Solutions for Sound Radiation of Functionally Graded Materials Plates considering State Space Method |
| title_full_unstemmed | Three-Dimensional Elasticity Solutions for Sound Radiation of Functionally Graded Materials Plates considering State Space Method |
| title_short | Three-Dimensional Elasticity Solutions for Sound Radiation of Functionally Graded Materials Plates considering State Space Method |
| title_sort | three dimensional elasticity solutions for sound radiation of functionally graded materials plates considering state space method |
| url | http://dx.doi.org/10.1155/2016/1403856 |
| work_keys_str_mv | AT tieliangyang threedimensionalelasticitysolutionsforsoundradiationoffunctionallygradedmaterialsplatesconsideringstatespacemethod AT qibaihuang threedimensionalelasticitysolutionsforsoundradiationoffunctionallygradedmaterialsplatesconsideringstatespacemethod AT shandeli threedimensionalelasticitysolutionsforsoundradiationoffunctionallygradedmaterialsplatesconsideringstatespacemethod |