Inelastic buckling mode interactions and resonance instabilities in thin-walled columns due to the fatigue damage
ISSN: 0264-4401
Article publication date: 9 April 2020
Issue publication date: 31 August 2020
Abstract
Purpose
The problems of inelastic instability (buckling) and dynamic instability (resonance) have been the subject of extensive investigation and have received wide attention from the structural mechanics community. This paper aims to tackle these problems in thin-walled structures, taking into account geometrical and/or material non-linearity.
Design/methodology/approach
The inelastic buckling mode interactions and resonance instabilities of prismatic thin-walled columns are analysed by implementing the semi-analytical finite strip method (FSM). A scalar damage parameter is implemented in conjunction with a material modelling named rheological-dynamical analogy to address stiffness reduction induced by the fatigue damage.
Findings
Inelastic buckling stresses lag behind the elastic buckling stresses across all modes, which is a consequence of the viscoelastic behaviour of materials. Because of the lag, the same column length does not always correspond to the same mode at the elastic and inelastic critical stress.
Originality/value
This paper presents the influence of mode interactions on the effective stresses and resonance instabilities in thin-walled columns due to the fatigue damage. These mode interactions have a great influence on damage variables because of the fatigue and effective stresses around mode transitions. In its usual semi-analytical form, the FSM cannot be used to solve the mode interaction problem explained in this paper, because this technique ignores the important influence of interaction of the buckling modes when applied only for undamaged state of structure
Keywords
Acknowledgements
The work presented in this paper is a part of the investigation conducted within the research projects OI 174027 “Computational Mechanics in Structural Engineering” and TR 36017 “Utilization of by-products and recycled waste materials in concrete composites for sustainable construction development in Serbia: investigation and environmental assessment of possible applications”, supported by the Ministry of Science and Technology, Republic of Serbia. This support is gratefully acknowledged.
Citation
Milašinović, D.D., Marić, P., Živanov, Ž. and Hajduković, M. (2020), "Inelastic buckling mode interactions and resonance instabilities in thin-walled columns due to the fatigue damage", Engineering Computations, Vol. 37 No. 8, pp. 2819-2845. https://doi.org/10.1108/EC-07-2019-0318
Publisher
:Emerald Publishing Limited
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