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| Free vibration analysis of laminated composite plates based on thin plate spline radial basis functions |
| Received:April 21, 2023 Revised:July 22, 2023 |
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| DOI：10.7511/jslx20230421001 |
| KeyWord:trigonometric shear deformation theory laminated composite plate free vibration thin plate spline radial basis function natural frequency |
| Author | Institution |
| 宋薇薇 |
沈阳航空航天大学 辽宁省通用航空重点实验室, 沈阳 ;辽宁通用航空研究院, 沈阳 ;沈阳航空航天大学 民用航空学院, 沈阳 |
| 项松 |
沈阳航空航天大学 辽宁省通用航空重点实验室, 沈阳 ;辽宁通用航空研究院, 沈阳 |
| 赵锐 |
沈阳航空航天大学 辽宁省通用航空重点实验室, 沈阳 ;辽宁通用航空研究院, 沈阳 |
| 赵为平 |
沈阳航空航天大学 辽宁省通用航空重点实验室, 沈阳 ;辽宁通用航空研究院, 沈阳 |
| 郭晗 |
沈阳航空航天大学 辽宁省通用航空重点实验室, 沈阳 ;辽宁通用航空研究院, 沈阳 |
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| Abstract: |
| Based on the trigonometric shear deformation theory of laminated composite plates,the governing differential equation of symmetric laminated composite plates is derived.The free vibration behavior of symmetric composite laminates is predicted using discrete governing differential equation derived from a meshless collocation method based on the spline radial basis functions for a thin plate.The natural frequencies of the laminated composite plates with different material parameters and geometric parameters were calculated and compared with some published results.The effects of the grid pattern modulus ratio,and the side-to-thickness ratio on natural frequencies are also studied.The results show that the calculation results of this article are in good agreement with the published results.The larger the number of nodes,the less sensitive the dimensionless frequency is to the grid distribution.The natural frequency increases with the increase of the edge thickness ratio and modulus ratio.Through numerical experiments,it is proved that the trigonometric shear deformation theory combined with the thin plate spline radial basis functions for a thin plate has high numerical accuracy and good convergence for the free vibration analysis of symmetric composite laminated plates. |
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