New method for predicting the free vibration characteristics of composite laminates based on generalized cell and spectral‐Tchebychev methods

• DOI: 10.1002/pc.29109
• Publication Date: 2024-11-11T15:31:54Z
• Authors: Xin Liu; Huimin Li; Xianglin Chen; Xinlong Zhang
• Keywords: 02 engineering and technology; 0210 nano-technology

Abstract This paper presents a new method for analyzing the free vibration characteristics of composite laminates under arbitrary boundary conditions by integrating generalized cells (GMC) and Two‐Dimensional Spectral‐Tchebychev (2D‐ST) method. First, meso‐macro correlation matrix is constructed based on GMC, macroscopic performance parameters are predicted. Then, virtual springs introduced to simulate conditions, energy equation laminate derived first‐order shear deformation theory (FSDT) Hamilton's principle. Furthermore, an approximate displacement function using 2D‐ST Tchebychev polynomials, Gauss‐Lobatto points selected meshless discretization structure obtain discretized characteristic equation, which solved frequency laminate. Based Matlab programming, frequencies different calculated, convergence, accuracy computational efficiency calculation discussed, effects stacking angle, geometrical parameters, material analyzed. The numerical results show that has advantages fast high efficiency, can be convenient parametric studies. Highlights studied. Combining cell with spectral‐Tchebychev efficiency. A study conducted laminated panels.