Spectral Tchebychev method for free vibration of composite laminated plates

被引：0
|
作者：
Guo C. [1 ]
Liu T. [1 ]
Wang Q. [2 ]
Qin B. [3 ]
机构：
[1] Light Alloy Research Institute, Central South University, Changsha
[2] State Key Lab of High Performance Complex Manufacturing, Central South University, Changsha
[3] School of Traffic & Transportation Engineering, Central South University, Changsha
来源：
Zhendong yu Chongji/Journal of Vibration and Shock | 2022年 / 41卷 / 11期
关键词：
2-D spectral Tchebychev (2D-ST) method; Composite laminated plate; First-order shear deformation theory (FSDT); Free vibration;
D O I：
10.13465/j.cnki.jvs.2022.11.036
中图分类号：
学科分类号：
摘要：
Here, the 2-D spectral Tchebychev (2D-ST) method was used to analyze free vibration of composite laminated plates under general boundary conditions. Based on the first-order shear deformation theory (FSDT), the boundary spring technique was used to simulate arbitrary boundary conditions, and the energy equation of a composite laminated plate was derived. The 2D-ST method was used to solve the energy equation to obtain free vibration characteristic equation of composite laminated plates under arbitrary boundary conditions. In numerical examples, the convergence and correctness of the 2D-ST method were verified by comparing the calculation results obtained using the 2D-ST method with those using other methods. Furthermore, effects of elastic modulus ratio and laying angle on vibration characteristics of composite laminated plates were studied. © 2022, Editorial Office of Journal of Vibration and Shock. All right reserved.
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页码：285 / 290and306
相关论文
共 26 条
  • [1] KANT T, SWAMINATHAN K., Free vibration of isotropic, orthotropic, and multilayer plates based on higher order refined theories, Journal of Sound and Vibration, 241, 2, pp. 319-327, (2001)
  • [2] REDDY J N., Mechanics of laminated composite plates and shells: theory and analysis, (2003)
  • [3] SHI J W, NAKATANI A, KITAGAWA H., Vibration analysis of fully clamped arbitrarily laminated plate, Composite Structures, 63, 1, pp. 115-122, (2004)
  • [4] LIEW K M., Solving the vibration of thick symmetric laminates by Reissner/Mindlin plate theory and the p-Ritz method, Journal of Sound and Vibration, 198, 3, pp. 343-360, (1996)
  • [5] YE T, JIN G, SU Z, Et al., A modified Fourier solution for vibration analysis of moderately thick laminated plates with general boundary restraints and internal line supports, International Journal of Mechanical Sciences, 80, pp. 29-46, (2014)
  • [6] QIN B, ZHONG R, WU Q, Et al., A unified formulation for free vibration of laminated plate through Jacobi-Ritz method, Thin-Walled Structures, 144, (2019)
  • [7] SHI D, ZHANG H, WANG Q, Et al., Free and forced vibration of the moderately thick laminated composite rectangular plate on various elastic winkler and pasternak foundations, Shock and Vibration, 2017, pp. 1-23, (2017)
  • [8] ROQUE C M C, FERREIRA A J M, JORGE R M N., Free vibration analysis of composite and sandwich plates by a trigonometric layerwise deformation theory and radial basis functions, Journal of Sandwich Structures & Materials, 8, 6, pp. 497-515, (2006)
  • [9] XIANG S, SHI H, WANG K M, Et al., Thin plate spline radial basis functions for vibration analysis of clamped laminated composite plates, European Journal of Mechanics-A/Solids, 29, 5, pp. 844-850, (2010)
  • [10] BUI T Q, NGUYEN M N, ZHANG C., An efficient meshfree method for vibration analysis of laminated composite plates, Computational Mechanics, 48, 2, pp. 175-193, (2011)
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