Analytical Investigation of Sound Radiation from Functionally Graded Thin Plates Based on Elemental Radiator Approach and Physical Neutral Surface
This paper analyzes the sound radiation behavior of a clamped thin, functionally graded material plate using the classical plate theory and Rayleigh Integral with the elemental radiator approach. The material properties of the plate are assumed to vary according to the power-law distribution of the...
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MDPI AG
2022-07-01
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| author | Baij Nath Singh R. N. Hota Sarvagya Dwivedi Ratneshwar Jha Vinayak Ranjan Kamil Řehák |
| author_facet | Baij Nath Singh R. N. Hota Sarvagya Dwivedi Ratneshwar Jha Vinayak Ranjan Kamil Řehák |
| author_sort | Baij Nath Singh |
| collection | DOAJ |
| description | This paper analyzes the sound radiation behavior of a clamped thin, functionally graded material plate using the classical plate theory and Rayleigh Integral with the elemental radiator approach. The material properties of the plate are assumed to vary according to the power-law distribution of the constituent materials in the transverse direction. The functionally graded material is modeled using a physical neutral surface instead of a geometric middle surface. The effects of the power-law index, elastic modulus ratio, different constituent materials, and damping loss factor on the sound radiation of functionally graded plate are analyzed. It was found that, for the considered plate, the power-law index significantly influences sound power level and radiation efficiency. There exists a critical value of the power-law index for which the corresponding peak of sound power level is minimum. In a wide operating frequency range, approximately 500–1500 Hz, this research suggests that the radiation efficiency is lower for the power-law index equal to 0 and 1. However, for very low frequencies (less than 250 Hz), the power-law index does not affect radiation efficiency significantly. Further, as the modulus ratio increases, the sound power peak decreases for a given power-law index. For the given material constituents of the functionally graded plate, the different values of damping loss factors do not significantly influence radiation efficiency. However, the selection of material constituents affects the radiation efficiency peak. |
| first_indexed | 2024-03-09T10:09:34Z |
| format | Article |
| id | doaj.art-866ca08f20be4361a85d2c78bdbb69b7 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-09T10:09:34Z |
| publishDate | 2022-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-866ca08f20be4361a85d2c78bdbb69b72023-12-01T22:50:41ZengMDPI AGApplied Sciences2076-34172022-07-011215770710.3390/app12157707Analytical Investigation of Sound Radiation from Functionally Graded Thin Plates Based on Elemental Radiator Approach and Physical Neutral SurfaceBaij Nath Singh0R. N. Hota1Sarvagya Dwivedi2Ratneshwar Jha3Vinayak Ranjan4Kamil Řehák5Department of Mechanical Engineering, Bennett University, Greater Noida 201310, IndiaDepartment of Mechanical Engineering, Indian Institute of Technology (ISM), Dhanbad 826004, IndiaDepartment of Electrical and Computer Engineering, Rowan University, Glassboro, NJ 08028, USADepartment of Mechanical Engineering, Rowan University, Glassboro, NJ 08028, USADepartment of Mechanical Engineering, Rowan University, Glassboro, NJ 08028, USADepartment of Mechanical Engineering, Brno University of Technology, 601 90 Brno, Czech RepublicThis paper analyzes the sound radiation behavior of a clamped thin, functionally graded material plate using the classical plate theory and Rayleigh Integral with the elemental radiator approach. The material properties of the plate are assumed to vary according to the power-law distribution of the constituent materials in the transverse direction. The functionally graded material is modeled using a physical neutral surface instead of a geometric middle surface. The effects of the power-law index, elastic modulus ratio, different constituent materials, and damping loss factor on the sound radiation of functionally graded plate are analyzed. It was found that, for the considered plate, the power-law index significantly influences sound power level and radiation efficiency. There exists a critical value of the power-law index for which the corresponding peak of sound power level is minimum. In a wide operating frequency range, approximately 500–1500 Hz, this research suggests that the radiation efficiency is lower for the power-law index equal to 0 and 1. However, for very low frequencies (less than 250 Hz), the power-law index does not affect radiation efficiency significantly. Further, as the modulus ratio increases, the sound power peak decreases for a given power-law index. For the given material constituents of the functionally graded plate, the different values of damping loss factors do not significantly influence radiation efficiency. However, the selection of material constituents affects the radiation efficiency peak.https://www.mdpi.com/2076-3417/12/15/7707functionally graded materialsound radiationphysical neutral surfaceelemental radiatorpower-law index |
| spellingShingle | Baij Nath Singh R. N. Hota Sarvagya Dwivedi Ratneshwar Jha Vinayak Ranjan Kamil Řehák Analytical Investigation of Sound Radiation from Functionally Graded Thin Plates Based on Elemental Radiator Approach and Physical Neutral Surface Applied Sciences functionally graded material sound radiation physical neutral surface elemental radiator power-law index |
| title | Analytical Investigation of Sound Radiation from Functionally Graded Thin Plates Based on Elemental Radiator Approach and Physical Neutral Surface |
| title_full | Analytical Investigation of Sound Radiation from Functionally Graded Thin Plates Based on Elemental Radiator Approach and Physical Neutral Surface |
| title_fullStr | Analytical Investigation of Sound Radiation from Functionally Graded Thin Plates Based on Elemental Radiator Approach and Physical Neutral Surface |
| title_full_unstemmed | Analytical Investigation of Sound Radiation from Functionally Graded Thin Plates Based on Elemental Radiator Approach and Physical Neutral Surface |
| title_short | Analytical Investigation of Sound Radiation from Functionally Graded Thin Plates Based on Elemental Radiator Approach and Physical Neutral Surface |
| title_sort | analytical investigation of sound radiation from functionally graded thin plates based on elemental radiator approach and physical neutral surface |
| topic | functionally graded material sound radiation physical neutral surface elemental radiator power-law index |
| url | https://www.mdpi.com/2076-3417/12/15/7707 |
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