Buckling and vibration analysis of laminated composite plate/shell structures via a smoothed quadrilateral flat shell element with in-plane rotations

Abstract

This paper presents buckling and free vibration analysis of composite plate/shell structures of various shapes, modulus ratios, span-to-thickness ratios, boundary conditions and lay-up sequences via a novel smoothed quadrilateral flat element. The element is developed by incorporating a strain smoothing technique into a flat shell approach. As a result, the evaluation of membrane, bending and geometric stiffness matrices are based on integration along the boundary of smoothing elements, which leads to accurate numerical solutions even with badly-shaped elements. Numerical examples and comparison with other existing solutions show that the present element is efficient, accurate and free of locking.

Static, free vibration, and buckling analysis of laminated composite Reissner–Mindlin plates using NURBS‐based isogeometric approach

“…We consider the normalized critical buckling load factors of SSSS, SSFF, SSCC, SSFC, and SSFS plates with length‐to‐thickness ratios of a ∕ h = 10 and modulus ratios of E 1 ∕ E 2 = 40. Given as in Table , the results of the present method agrees well with the solution of several other methods such as MISQ20 , MLSDQ , the reproducing kernel particle method (RKPM) and the finite element method based on FSDT and HSDT . Figure illustrates buckling shape modes of 10‐layer [0° ∕ 90°] 5 plate with various boundary conditions.…”

Buckling analysis of laminated composite plates using an efficient C0 FE model

“…It is found that with refining meshes, results obtained by the present FE model converge closely to the exact solution [26] and reasonably close to the 3D elasticity solution given by Noor [13]. The present finite element model based on higher order zigzag theory gives the more accurate results compared to the results given by Fiedler et al [33] based on a similar theory, results of Van et al [25] based on first order shear deformation theory and results of Ferreira et al [10] based on first order shear deformation theory respectively. Some new results are also presented in Table 2.…”

“…The material properties are same as in section 3.2 where E 1 /E 2 is taken as 40. The results obtained by the present finite element model are shown in Table 4 along with those obtained by Van et al [25], Reddy and Phan [27], and Chakrabarti and Sheikh [31] respectively. The same trend as explained before is also observed in the results presented in Table 4.…”

“…Nguyen-Van et al [10] presented buckling and vibration analysis of composite plate or shell structures of various shapes. Fiedler et al [25] used refined higher-order shear deformation theory for buckling analysis of multi-layered plates subjected to unidirectional in-plane loads. Moreover, it has been also observed that in some cases the violation of inter-laminar shear stress continuity might lead to higher buckling load.…”

Bending and free vibration behaviors of composite plates using the C0-HSDT based four-node element with in-plane rotations

“…This paper presents a novel numerical procedure based on four-node element MISQ24 with inplane rotations [6] associated with the C 0 -HSDT type for static and free vibration analyses of laminated composite plates. The higher-order shear deformation plate theory is involved in the formulation in order to avoid using the shear correction factors and to improve the accuracy of transverse shear stresses.…”