Vibration of metallic and composite shells in geometrical nonlinear equilibrium states

Carrera, Erasmo; Pagani, Alfonso; Azzara, R.; Augello, R.

doi:10.1016/j.tws.2020.107131

Cited by 33 publications

(9 citation statements)

References 32 publications

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“…Pagani et al [40] examined the frequency and mode change in post-buckled thin-walled beams and those undergoing large deflections. The investigations were further continued by Carrera et al [41,42] who examined the nonlinear large-amplitude response of beams with highly-deformable cross-sections and studied the frequency and mode change of thin-walled shell structures subject to large displacements and rotations.…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional nonlinear extreme vibrations of cantilevers based on a geometrically exact model

Farokhi

Ertürk

2021

Journal of Sound and Vibration

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Section: Introductionmentioning

confidence: 99%

Three-dimensional nonlinear extreme vibrations of cantilevers based on a geometrically exact model

Farokhi

Ertürk

2021

Journal of Sound and Vibration

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“…Duong et al [4] analysed the buckling of thinwalled composite beams using Ritz method on the basis of classical beam theory and found that the Angle of thin-walled beams has a certain influence on the buckling load. Carrera et al [5] carried out nonlinear analysis based on CUF using high-order plate and shell model, and considered the influence on thin-walled members under nonlinear equilibrium state. Dan et al [6] obtained the free vibration solution of solid beam model based on the refinement theory of displacement variables, which improved the efficiency of numerical analysis.…”

Section: Introductionmentioning

confidence: 99%

One-Dimensional High-Order Dynamic Model of U-Shaped Thin-Wall Arm Segment of Telescopic Boom of Crane

Wang

Zhang

Liang

et al. 2022

Advances in Transdisciplinary Engineering

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In order to accurately analyse the dynamic performance of the arm segment, a dynamic model of u-shaped thin-walled beam based on one-dimensional high-order beam theory is proposed to predict the three-dimensional displacement of the beam at any point. First, a one-dimensional high-order model is established using Hamilton’s principle. The high-order model considers the displacement field by linear superposition of a set of basis functions that vary axially along the beam. A basis function represents a deformation mode, and interpolation polynomials are used to approximate the three-dimensional displacements of nodes on the center line of the section. At the same time, different section discretization methods are analysed, which have different influences on the precision of the model by discretization of the curved surface part of u-shaped section by straight transposition. Finally, the generalized characteristic of the model is worth to obtain the natural frequency, which is compared with the ANASYS plate and shell theory. The error range of the first 16 orders is within 1.5%. The results show that the discrete mode of the model has a certain influence on the frequency error, and the more discrete nodes of the circular arc part, the higher the accuracy.

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“…Pagani et al [44] utilized a refined CUF plate model to investigate the effect of various strain-displacement nonlinear approximations on the large deflection and post-buckling of isotropic plates. Readers can be referred to [45,46,47] for important works on nonlinear analyses of 2D isotropic and composite shell structures in the CUF framework.…”

Section: Introductionmentioning

confidence: 99%

Buckling and post-buckling of anisotropic flat panels subjected to axial and shear in-plane loadings accounting for classical and refined structural and nonlinear theories

Carrera

Azzara²,

Daneshkhah³

et al. 2021

International Journal of Non-Linear Mechanics

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This article investigates the large deflection and post-buckling of composite plates by employing the Carrera Unified Formulation (CUF). As a consequence, the geometrically nonlinear governing equations and the relevant incremental equations are derived in terms of fundamental nuclei, which are invariant of the theory approximation order. By using the Lagrange expansion functions across the laminate thickness and the classical finite element (FE) approximation, layerwise (LW) refined plate models are implemented. The Newton-Raphson linearization scheme with the path-following method based on the arc-length constraint is employed to solve geometrically nonlinear composite plate problems. In this study, different composite plates subjected to large deflections/rotations and post-buckling are analyzed, and the corresponding equilibrium curves are compared with the results in the available literature or the traditional FEM-based solutions. The effects of various parameters, such as stacking sequence, number of layers, loading conditions, and edge conditions are demonstrated. The accuracy and reliability of the proposed method for solving the composite plates' geometrically nonlinear problems are verified.

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Vibration of metallic and composite shells in geometrical nonlinear equilibrium states

Cited by 33 publications

References 32 publications

Three-dimensional nonlinear extreme vibrations of cantilevers based on a geometrically exact model

Three-dimensional nonlinear extreme vibrations of cantilevers based on a geometrically exact model

One-Dimensional High-Order Dynamic Model of U-Shaped Thin-Wall Arm Segment of Telescopic Boom of Crane

Buckling and post-buckling of anisotropic flat panels subjected to axial and shear in-plane loadings accounting for classical and refined structural and nonlinear theories

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