Remarks on experimental and theoretical investigations of buckling loads for laminated plated and shell structures

Muc, Aleksander; Chwał, Małgorzata; Barski, Marek

doi:10.1016/j.compstruct.2018.07.094

Cited by 29 publications

(14 citation statements)

References 174 publications

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“…The buckling loads were determined considering the base state of the structure—that is, the state of the load for which the eigenvalues are determined. In the base state, the structure may have initial loads P, stemming from previous analyses or initial conditions [ 2 , 7 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 ]. The process of determining the critical force is divided into two stages.…”

Section: Purpose and Methodology Of Researchmentioning

confidence: 99%

Optimisation of the Thin-Walled Composite Structures in Terms of Critical Buckling Force

Szklarek

Gajewski

2020

Materials

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The paper presents the optimisation of thin-walled composite structures on a representative sample of a thin-walled column made of carbon laminate with a channel section-type profile. The optimisation consisted of determining the configuration of laminate layers for which the tested structure has the greatest resistance to the loss of stability. The optimisation of the layer configuration was performed using two methods. The first method, divided into two stages to reduce the time, was to determine the optimum arrangement angle in each laminate layer using finite element methods (FEM). The second method employed artificial neural networks for predicting critical buckling force values and the creation of an optimisation tool. Artificial neural networks were combined into groups of networks, thereby improving the quality of the obtained results and simplifying the obtained neural networks. The results from computations were verified against the results obtained from the experiment. The optimisation was performed using ABAQUS® and STATISTICA® software.

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Section: Purpose and Methodology Of Researchmentioning

confidence: 99%

Optimisation of the Thin-Walled Composite Structures in Terms of Critical Buckling Force

Szklarek

Gajewski

2020

Materials

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“…The Rayleigh quotient is involved in the min-max theorem to obtain exact values of all eigenvalues (see the analysis presented by Muc et al [69,70]. It can also be applied in eigenvalue algorithms to get an eigenvalue approximation from an eigenvector approximation.…”

Section: The Rayleigh-ritz Methodsmentioning

confidence: 99%

Buckling and Free Vibrations of Nanoplates – Comparison of Nonlocal Strain and Stress Approaches

Chwał

Muc

2019

Applied Sciences

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The buckling and free vibrations of rectangular nanoplates are considered in the present paper. The refined continuum transverse shear deformation theory (third and first order) is introduced to formulate the fundamental equations of the nanoplate. Besides, the analysis involve the nonlocal strain and stress theories of elasticity to take into account the small-scale effects encountered in nanostructures/nanocomposites. Hamilton's principle is used to establish the governing equations of the nanoplate. The Rayleigh-Ritz method is proposed to solve eigenvalue problems dealing with the buckling and free vibration analysis of the nanoplates considered. Some examples are presented to investigate and illustrate the effects of various formulations.

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“…Now, considering the buckling mode of failure of compressed laminated cylindrical shells, the large deformation analysis is carried out (geometrical non-linearities) including also physical non-linearities in the form discussed above. Rigorous analysis for the determination of stability conditions for anisotropic cylinders is discussed by Muc et al [22].…”

Section: Non-linear Buckling Analysismentioning

confidence: 99%

Effects of Material Nonlinearities on Design of Composite Constructions—Elasto-Plastic Behaviour

Muc

2020

Materials

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Usually, the design of composite structures is limited to the linear elastic analysis only. The experimental results discussed in the paper demonstrate the physical non-linear behaviour both for unidirectional and woven roving composites. It is mainly connected with the micromechanical damages in composite structures, particularly with the effects of matrix cracking modeled in the form of elastic-plastic physical relations. In the present paper, the effects of both physical and geometrical non-linearities are taken into account. Their influence on the limit states (understood in the sense of buckling or failure/damage) of composite structures is discussed. The numerical examples deal with the behaviour of composite pressure vessels components, such as a cylindrical shell and the reinforcement of the junction of shells. The optimisation method of the reinforcement thickness is also formulated and solved herein.

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Remarks on experimental and theoretical investigations of buckling loads for laminated plated and shell structures

Cited by 29 publications

References 174 publications

Optimisation of the Thin-Walled Composite Structures in Terms of Critical Buckling Force

Optimisation of the Thin-Walled Composite Structures in Terms of Critical Buckling Force

Buckling and Free Vibrations of Nanoplates – Comparison of Nonlocal Strain and Stress Approaches

Effects of Material Nonlinearities on Design of Composite Constructions—Elasto-Plastic Behaviour

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