An accurate and efficient implementation of initial geometrical imperfections in the predictor–corrector reduced-order modeling method

Liang, Ke; Qin, Sun

doi:10.1016/j.camwa.2020.02.005

Cited by 4 publications

(1 citation statement)

References 46 publications

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“…Nonlinear FE formulations based on von Kármán kinematics with initial geometrical imperfections are taken into account in [14]. The authors proposed a predictor-corrector reduced-order modelling method for the nonlinear buckling analysis of thin-walled structures with initial geometrical imperfections based on Koiter theory.…”

Section: Introductionmentioning

confidence: 99%

Post-Buckling Behaviour of Steel Structures with Different Types of Imperfections

Rzeszut

2022

Applied Sciences

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In this paper, the stability of steel members with a complex initial geometrical imperfection pattern are analysed. This issue is extremely important in the case of slender structures, characterised by multiple close critical loads and modal interactions, which can lead to unstable post-critical paths and imperfection sensitivity. Despite the fact that the loss of stability, as a result of complex geometrical imperfections, is a very common mechanism for the destruction of slender steel structures, there is still no unambiguous and adequate research in the literature and in scientific research taking into account multimodal buckling. Therefore, in this study, special attention was focused on the analysis of the equilibrium path of the structure in the pre- and post-buckling range. This was studied by introducing a model of a structure composed of four rigid bars connected by elastic nodes. For this model, as well as for the structure with and without initial geometrical imperfections, a set of nonlinear algebraic equations of equilibrium was developed. A complex pattern of imperfections was taken into account using a linear superposition of buckling modes obtained from a linear eigenvalue problem. In order to investigate the nature of bifurcation points, the concept of minimum of potential energy was adopted. By means of numerous examples, the influence of imperfections on the structural behaviour was discussed. It was found that, for special imperfection patterns, an increase in the amplitude of initial geometrical imperfection can result in an increase in the value of the critical load defining the bifurcation point. In these cases, initial geometrical imperfections can play a positive role, resulting in stable post-buckling behaviour. This phenomenon corresponds with the so-called “modal nudging” which aims to improve the buckling response of slender elastic structures by introducing a small disturbance in the primary geometry of the structure, which results in equilibrium paths of greater load-carrying capacity. Among other observations, a snap-through phenomenon caused by transition from the local to the global minimum of potential energy was also noted. The observed snap-through was caused by the specific configuration of initial geometrical imperfections, which in this case played quite a dangerous role. It should be emphasised that the proposed model structure allows for a full description of the post-critical behaviour and a trace of the influence of complex imperfection configurations in a simple and clear manner.

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Section: Introductionmentioning

confidence: 99%

Post-Buckling Behaviour of Steel Structures with Different Types of Imperfections

Rzeszut

2022

Applied Sciences

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A novel and highly efficient strategy to determine the ‘Worst’ imperfection shape for buckling of cylindrical shell panels

Liang

2022

Applied Mathematical Modelling

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A novel nonlinear FE perturbation method and its application to stacking sequence optimization for snap-through response of cylindrical shell panel

Liang

2022

Computers & Mathematics with Applications

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An accurate and efficient implementation of initial geometrical imperfections in the predictor–corrector reduced-order modeling method

Cited by 4 publications

References 46 publications

Post-Buckling Behaviour of Steel Structures with Different Types of Imperfections

Post-Buckling Behaviour of Steel Structures with Different Types of Imperfections

A novel and highly efficient strategy to determine the ‘Worst’ imperfection shape for buckling of cylindrical shell panels

A novel nonlinear FE perturbation method and its application to stacking sequence optimization for snap-through response of cylindrical shell panel

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