Three-Dimensional Vibration Analysis of Laminated Composite Rectangular Plate with Cutouts
College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, China
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Materials 2020, 13(14), 3113; https://doi.org/10.3390/ma13143113
Received: 27 May 2020
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Revised: 2 July 2020
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Accepted: 8 July 2020
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Published: 13 July 2020
The main purpose of this paper is to establish an analysis model of laminated composite rectangular plate with/without cutouts on the basis of three-dimensional elasticity theory and provide the exact three-dimensional solution. In the present work, the effect of the cutout is considered by subtracting the energies of cutouts from the total energy of the entire plate. The standard three-dimensional trigonometric cosine Fourier series and auxiliary Fourier series are chosen as admissible functions, and the Hamilton’s principle and Rayleigh-Ritz procedure are used to obtain the exact solution. In order to verify the effectiveness and reliability of the proposed method, some numerical results are obtained, and the results are compared with the ones available in the literature or finite element analysis. Finally, the effects of some key parameters which will affect the vibration characteristics are analyzed, and the non-dimensional frequency parameters are obtained, which can serve as benchmark data for the future research.
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Keywords:
three-dimensional vibration; three-dimensional elasticity theory; laminated composite structures; plate with cutouts; Fourier series
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MDPI and ACS Style
Xue, K.; Huang, W.; Li, Q. Three-Dimensional Vibration Analysis of Laminated Composite Rectangular Plate with Cutouts. Materials 2020, 13, 3113. https://doi.org/10.3390/ma13143113
AMA Style
Xue K, Huang W, Li Q. Three-Dimensional Vibration Analysis of Laminated Composite Rectangular Plate with Cutouts. Materials. 2020; 13(14):3113. https://doi.org/10.3390/ma13143113
Chicago/Turabian StyleXue, Kai, Wenhao Huang, and Qiuhong Li. 2020. "Three-Dimensional Vibration Analysis of Laminated Composite Rectangular Plate with Cutouts" Materials 13, no. 14: 3113. https://doi.org/10.3390/ma13143113
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