Buckling analysis of non-prismatic columns: A rigid multibody approach

Nikolić, Aleksandar; Šalinić, Slaviša

doi:10.1016/j.engstruct.2017.04.033

Cited by 15 publications

(4 citation statements)

References 30 publications

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“…On the same line of study, columns with variable inertia (trigonometric-varied inertia column) iteration-perturbation method was applied and obtained results were compared with the result obtained by modelling the same column in ANSYS by Afsharfard and Farshidianfar [30]. Later on, detailed work was reported by Nikolić and Šalinić [31], wherein they assumed that the column is doubly symmetric to apply the method of rigid elements in order to perform buckling analysis of columns with continuously varying cross section and multistepped columns under different boundary conditions.…”

Section: Self-bucklingmentioning

confidence: 99%

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An Abridged Review of Buckling Analysis of Compression Members in Construction

et al. 2021

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The column buckling problem was first investigated by Leonhard Euler in 1757. Since then, numerous efforts have been made to enhance the buckling capacity of slender columns, because of their importance in structural, mechanical, aeronautical, biomedical, and several other engineering fields. Buckling analysis has become a critical aspect, especially in the safety engineering design since, at the time of failure, the actual stress at the point of failure is significantly lower than the material capability to withstand the imposed loads. With the recent advancement in materials and composites, the load-carrying capacity of columns has been remarkably increased, without any significant increase in their size, thus resulting in even more slender compressive members that can be susceptible to buckling collapse. Thus, nonuniformity in columns can be achieved in two ways— either by varying the material properties or by varying the cross section (i.e., shape and size). Both these methods are preferred because they actually inherited the advantage of the reduction in the dead load of the column. Hence, an attempt is made herein to present an abridged review on the buckling analysis of the columns with major emphasis on the buckling of nonuniform and functionally graded columns. Moreover, the paper provides a concise discussion on references that could be helpful for researchers and designers to understand and address the relevant buckling parameters.

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Section: Self-bucklingmentioning

confidence: 99%

“…This method also serves an additional advantage that the boundary condition can be introduced without any extra calculation. However, the limitation of this method lies in the discretisation of elastic segments with rigid segments [31].…”

Section: Self-bucklingmentioning

confidence: 99%

An Abridged Review of Buckling Analysis of Compression Members in Construction

et al. 2021

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“…In result, it was stated than proposed FPD buckling theory for beams is able to give a good prediction, while the conventional buckling theory (Timoshenko & Gere, 2009) and conventional numerical method (Dassault-Systèmes, 2010) yield unacceptable results (in some cases with 70% error for a three-point-bending beam). In (Nikolić & Šalinić, 2017) authors presented a method of buckling analysis of non-prismatic columns based on rigid element method. Authors derived a general form of the characteristic equation, which enabled to perform buckling analysis of columns with continuously varying, doubly symmetric cross-section and multiple-stepped columns under different boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Straight and Bent Bars Buckling Considered as the Axial Displacement of One Bar End

Berczyński

Dunaj

Grządziel

2020

Multidisciplinary Aspects of Production Engineering

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A new approach has been taken to the problem of straight and bent bar buckling, where bar buckling is considered as a function of axial displacement of one end. It was assumed that the length of a bar being buckled at any instant of buckling is the same as that of a straight bar, regardless of the size of axial displacement of one end of the bar. Based on energy equations, a formula was derived for the value of axial displacement of one bar end or buckling amplitude in the middle of bar length as a function of compressive force. The established relationships were confirmed by simulation tests using the finite element software Midas NFX and by experimental tests.

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“…In the case of constant efforts to minimize the weight of mechanical systems and maximize their strength, of great importance is the issue of optimization of such systems. Shape optimization issues can be found, among others in the works of Drazumeric and Kosel, 2012, Ruta and Szybiński, 2015, Tsiatas, 2010, Krużelecki and Barski, 2008, Bochenek and Tajs-Zielińska, 2008, Nikolic and Salinic, 2017, Szmidla and Jurczyńska, 2015and Szmidla and Wawszczak, 2008, where the application of different algorithms or proprietary solutions are proposed. This article is a response to the search for optimal shapes of slender mechanical systems subjected to a conservative load.…”

Section: Introductionmentioning

confidence: 99%

Shape Optimization of a Column under Generalized Load with a Force Directed towards Positive Pole

Szmidla

Jurczyńska

2019

Quality Production Improvement - QPI

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In this paper, the issue of shape optimization of a column subjected to the generalized load with a force directed towards the positive pole (L. Tomski’s load, specific load) was considered. Based on the Hamilton’s principle, the differential equations of movement and boundary conditions describing the system were formulated. Taking into account a kinetic criterion of stability loss and a condition of constant total volume, the scope of changes in natural frequency as a function of an external load was determined with selected geometrical and physical parameters of the loading structure. On the basis of obtained results, values of geometrical parameters of individual column segments were determined, at which the maximum critical load value was obtained. In order to find the maximum critical force, which is a function of many variables, the simulated annealing algorithm was used.

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Buckling analysis of non-prismatic columns: A rigid multibody approach

Cited by 15 publications

References 30 publications

An Abridged Review of Buckling Analysis of Compression Members in Construction

An Abridged Review of Buckling Analysis of Compression Members in Construction

Straight and Bent Bars Buckling Considered as the Axial Displacement of One Bar End

Shape Optimization of a Column under Generalized Load with a Force Directed towards Positive Pole

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