An analytical model for dynamic analysis of inhomogeneous sandwich plate
Sandwich plates are widely used in the engineering domain and are extensively studied by researchers for their special performances. Among them, the sandwich plate with coordinate-dependent material parameters has excellent vibration isolation performance. However, there are few effective and conven...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/178268 |
| _version_ | 1811692763260911616 |
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| author | Li, Wanbo Liu, Weifeng Liang, Ruihua Li, Donghai Wang, Mingjie |
| author2 | School of Civil and Environmental Engineering |
| author_facet | School of Civil and Environmental Engineering Li, Wanbo Liu, Weifeng Liang, Ruihua Li, Donghai Wang, Mingjie |
| author_sort | Li, Wanbo |
| collection | NTU |
| description | Sandwich plates are widely used in the engineering domain and are extensively studied by researchers for their special performances. Among them, the sandwich plate with coordinate-dependent material parameters has excellent vibration isolation performance. However, there are few effective and convenient analytical methods for solving the dynamic response of this type of sandwich plate. To solve this problem, an equivalent spring-based model for the dynamic analysis of the sandwich plate is proposed in this paper. Assuming that the sandwich plate is a linear elastic structure, and considering the core plate as equivalent springs, whose stiffness coefficients are derived based on the classical elasticity theory and Kirchhoff hypothesis. Besides, displacement solutions of base and constrained plates of the sandwich plate in the x, y and z directions are expressed as a two-dimensional Fourier series supplemented with several one-dimensional Fourier series, respectively. Then, according to the orthogonality of trigonometric functions and selectivity of Dirac functions, the displacements of the sandwich plate are solved accurately. By comparing with available analytical and numerical results, the proposed method is proven to have excellent performance in dealing with the sandwich plate with coordinate-dependent material parameters. Finally, the dynamic characteristics and vibration isolation performance of the inhomogeneous sandwich plate are discussed. The results show that the proposed method can be used to design the inhomogeneous sandwich plate and improve their vibration isolation performance significantly. |
| first_indexed | 2024-10-01T06:40:57Z |
| format | Journal Article |
| id | ntu-10356/178268 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T06:40:57Z |
| publishDate | 2024 |
| record_format | dspace |
| spelling | ntu-10356/1782682024-06-10T04:28:12Z An analytical model for dynamic analysis of inhomogeneous sandwich plate Li, Wanbo Liu, Weifeng Liang, Ruihua Li, Donghai Wang, Mingjie School of Civil and Environmental Engineering Engineering Inhomogeneous sandwich plate Vibration isolation Sandwich plates are widely used in the engineering domain and are extensively studied by researchers for their special performances. Among them, the sandwich plate with coordinate-dependent material parameters has excellent vibration isolation performance. However, there are few effective and convenient analytical methods for solving the dynamic response of this type of sandwich plate. To solve this problem, an equivalent spring-based model for the dynamic analysis of the sandwich plate is proposed in this paper. Assuming that the sandwich plate is a linear elastic structure, and considering the core plate as equivalent springs, whose stiffness coefficients are derived based on the classical elasticity theory and Kirchhoff hypothesis. Besides, displacement solutions of base and constrained plates of the sandwich plate in the x, y and z directions are expressed as a two-dimensional Fourier series supplemented with several one-dimensional Fourier series, respectively. Then, according to the orthogonality of trigonometric functions and selectivity of Dirac functions, the displacements of the sandwich plate are solved accurately. By comparing with available analytical and numerical results, the proposed method is proven to have excellent performance in dealing with the sandwich plate with coordinate-dependent material parameters. Finally, the dynamic characteristics and vibration isolation performance of the inhomogeneous sandwich plate are discussed. The results show that the proposed method can be used to design the inhomogeneous sandwich plate and improve their vibration isolation performance significantly. The financial supports from the Beijing Natural Science Foundation (Grant No. L221021 and L231022) and the National Natural Science Foundation of China (Grant No. 52178404) are gratefully acknowledged. 2024-06-10T04:28:12Z 2024-06-10T04:28:12Z 2024 Journal Article Li, W., Liu, W., Liang, R., Li, D. & Wang, M. (2024). An analytical model for dynamic analysis of inhomogeneous sandwich plate. Mechanics of Advanced Materials and Structures, 2322091-. https://dx.doi.org/10.1080/15376494.2024.2322091 1537-6494 https://hdl.handle.net/10356/178268 10.1080/15376494.2024.2322091 2-s2.0-85186912400 2322091 en Mechanics of Advanced Materials and Structures © 2024 Taylor & Francis Group, LLC. All rights reserved. |
| spellingShingle | Engineering Inhomogeneous sandwich plate Vibration isolation Li, Wanbo Liu, Weifeng Liang, Ruihua Li, Donghai Wang, Mingjie An analytical model for dynamic analysis of inhomogeneous sandwich plate |
| title | An analytical model for dynamic analysis of inhomogeneous sandwich plate |
| title_full | An analytical model for dynamic analysis of inhomogeneous sandwich plate |
| title_fullStr | An analytical model for dynamic analysis of inhomogeneous sandwich plate |
| title_full_unstemmed | An analytical model for dynamic analysis of inhomogeneous sandwich plate |
| title_short | An analytical model for dynamic analysis of inhomogeneous sandwich plate |
| title_sort | analytical model for dynamic analysis of inhomogeneous sandwich plate |
| topic | Engineering Inhomogeneous sandwich plate Vibration isolation |
| url | https://hdl.handle.net/10356/178268 |
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