Effects of approximations on non-linear in-plane elastic buckling and postbuckling analyses of shallow parabolic arches

Bradford, Mark A.; Pi, Yong‐Lin; Yang, Guotao; Fan, Xiaoyue

doi:10.1016/j.engstruct.2015.07.008

Cited by 22 publications

(3 citation statements)

References 35 publications

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“…The foundations of analytical deliberations on the issues are presented in papers [83], [84], [85], [86], [87], [88], [89] and [90]. Contemporary follow-up on their ideas is presented in paper [91], which applies to the testing of non-linear elastic in-plane buckling and post-buckling parabolic arches in reference to analytical numerical solutions. A similar issue was presented in [92] where non-linear elastic buckling and postbuckling of pin-ended parabolic multi-span continuous arches were analyzed.…”

Section: Further Concepts Of Computational and Experimental Methods D...mentioning

confidence: 99%

Archives of Civil Engineering

Piekarczuk

Więch

Kuczyński

et al. 2021

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Double corrugated, self-supporting K-span arch structures are now commonly used globally to make roofs for building structures, as an alternative to traditional solutions. The K-span system has become popular mainly due to the simple and cheap method of its manufacturing and quick installation. Nowadays, new versions of the system are created but still there is no valid design method. Design difficulties are among the causes of failures or even collapses of such structures. Back in the 1970s, the first studies were developed concerning computational analyses of double corrugated arch roofs. They laid grounds for the development of contemporary K-span system technology but have since lost their practical advantages due to changing engineering conditions. The paper presents a review of research and computational methods concerning double corrugated arch structures. The paper discusses selected scientific studies, which were used as the basis for the development of research and computational methods, and their contemporary continuation. Directions for further research and analyses are also presented which could contribute to the future development of science and engineering in the area and could provide inspiration for future studies.

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Section: Further Concepts Of Computational and Experimental Methods D...mentioning

confidence: 99%

Archives of Civil Engineering

Piekarczuk

Więch

Kuczyński

et al. 2021

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“…However, laterally unrestrained arched beams may suddenly fail in out of the plane mode during loading. Many of previous researches mainly focused on the in-plane and out-of-plane stability of solid web arched steel beams subjected to combined bending and compression actions [ [3] , [4] , [5] , [6] , [7] , [8] , [9] , [10] , [11] , [12] ]. The in-plane strength of a steel arch depends upon various factors, such as the support stiffness, rise-to-span ratio, buckling behavior, yielding, initial curvature, included angle, slenderness ratio, residual stresses, initial in-plane geometric imperfections, and loading conditions [ 3 ].…”

Section: Introductionmentioning

confidence: 99%

Numerical investigation of elastic-plastic buckling performance of circular arched cellular steel beam using nonlinear finite element analysis method

Zewudie,

Zerfu,

Agon

2024

Heliyon

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“…Such deformations cause severe changes in strains and stresses. The geometry of the arch is an influential parameter on its load-bearing capacity (Cai et al, 2012;Bateni and Eslami, 2015;Bradford et al, 2015;Rezaiee-Pajand and Rajabzadeh-Safaei, 2016). In addition, various loadings (e.g., the sinusoidal (Plaut and Johnson, 1981), concentrated (Pi et al, 2008;Chandra et al, 2012;Tsiatas and Babouskos, 2017), distributed (Moghaddasie and Stanciulescu, 2013b) and end moment loads (Chen and Liao, 2005;Chen and Lin, 2005)), geometric imperfections (Virgin et al, 2014;Zhou et al, 2015a), and boundary conditions (Pi and Bradford, 2012;Pi and Bradford, 2013;Han et al, 2016) are other important factors in the structural design.…”

Section: Introductionmentioning

confidence: 99%

Stability of a half-sine shallow arch under sinusoidal and step loads in thermal environment

Saghafi-Nik

Moghaddasie

2018

Lat. Am. j. solids struct.

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The complex structural behavior of shallow arches can be remarkably affected by many parameters. In this paper, the structural responses of a half-sine pin-ended shallow arch under sinusoidal and step loadings are accurately calculated. Additionally, the effects of environmental temperature changes are considered. Three types of sinusoidal loadings are separately investigated. Displacements, load-bearing capacity, the magnitude of the axial force and the locus of critical points (including limit and bifurcation points) are directly obtained without tracing the corresponding equilibrium path. Furthermore, the boundaries identifying the number of critical points are investigated. All mentioned structural responses are formulized based on the rise of the arch and the environmental temperature change, which are introduced in a dimensionless form. The proposed formulation is also developed for generalized sinusoidal loadings. Additionally, the structural behavior of the shallow arch under two types of step loadings is investigated. Finally, the accuracy of the suggested approach is examined by a non-linear finite element method.

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Effects of approximations on non-linear in-plane elastic buckling and postbuckling analyses of shallow parabolic arches

Cited by 22 publications

References 35 publications

Archives of Civil Engineering

Archives of Civil Engineering

Numerical investigation of elastic-plastic buckling performance of circular arched cellular steel beam using nonlinear finite element analysis method

Stability of a half-sine shallow arch under sinusoidal and step loads in thermal environment

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