Lateral-torsional buckling of fixed circular arches having a thin-walled section under a central concentrated load

Liu, Airong; Lu, Hanwen; Fu, Jiyang; Pi, Yong‐Lin

doi:10.1016/j.tws.2017.05.002

Cited by 34 publications

(16 citation statements)

References 21 publications

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“…Pi and Bradford et al [ 20 , 21 , 22 , 23 ] performed detailed studies on the in-plane nonlinear failure of elastically constrained homogeneous circular arches and determined the critical loads that are required for them to undergo static failure under various constraint stiffness conditions. Liu [ 24 , 25 , 26 , 27 , 28 ] and Pi et al [ 29 , 30 , 31 ] examined the out-of-plane buckling behavior of elastically constrained homogenous arches and found that the results were consistent with those of the finite element (FE) analysis.…”

Section: Introductionmentioning

confidence: 84%

Nonlinear Buckling Analysis of Functionally Graded Graphene Reinforced Composite Shallow Arches with Elastic Rotational Constraints under Uniform Radial Load

2018

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The buckling behavior of functionally graded graphene platelet-reinforced composite (FG-GPLRC) shallow arches with elastic rotational constraints under uniform radial load is investigated in this paper. The nonlinear equilibrium equation of the FG-GPLRC shallow arch with elastic rotational constraints under uniform radial load is established using the Halpin-Tsai micromechanics model and the principle of virtual work, from which the critical buckling load of FG-GPLRC shallow arches with elastic rotational constraints can be obtained. This paper gives special attention to the effect of the GPL distribution pattern, weight fraction, geometric parameters, and the constraint stiffness on the buckling load. The numerical results show that all of the FG-GPLRC shallow arches with elastic rotational constraints have a higher buckling load-carrying capacity compared to the pure epoxy arch, and arches of the distribution pattern X have the highest buckling load among four distribution patterns. When the GPL weight fraction is constant, the thinner and larger GPL can provide the better reinforcing effect to the FG-GPLRC shallow arch. However, when the value of the aspect ratio is greater than 4, the flakiness ratio is greater than 103, and the effect of GPL’s dimensions on the buckling load of the FG-GPLRC shallow arch is less significant. In addition, the buckling model of FG-GPLRC shallow arch with elastic rotational constraints is changed as the GPL distribution patterns or the constraint stiffness changes. It is expected that the method and the results that are presented in this paper will be useful as a reference for the stability design of this type of arch in the future.

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Section: Introductionmentioning

confidence: 84%

Nonlinear Buckling Analysis of Functionally Graded Graphene Reinforced Composite Shallow Arches with Elastic Rotational Constraints under Uniform Radial Load

2018

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“…The FE models developed using Abaqus, that is; both the elastic and inelastic models were validated using the existing analytical solutions proposed by Pi and Bradford (2003) and Liu et al (2017). However, a double symmetric I-section was used to validate the exiting FE technique as the existing analytical solutions for fixed arches under point load were developed from the similar cross-section.…”

Section: Validation Of the Finite Element Modelmentioning

confidence: 99%

“…These existing studies could be categorised under the elastic and elastic-plastic also referred to as inelastic analysis (Spoorenberg 2011). However, most of the related studies focused on the elastic analysis (Liu et al 2017;Spoorenberg, Snijder, Hoenderkamp & Beg 2012). This can be justified, firstly, by the non-uniform axial compressive force and bending moment with complicated distribution patterns produced by the applied load that makes LTB analysis generally difficult (Liu et al 2017).…”

Section: Introductionmentioning

confidence: 99%

“…However, most of the related studies focused on the elastic analysis (Liu et al 2017;Spoorenberg, Snijder, Hoenderkamp & Beg 2012). This can be justified, firstly, by the non-uniform axial compressive force and bending moment with complicated distribution patterns produced by the applied load that makes LTB analysis generally difficult (Liu et al 2017). Also, the inelastic analysis becomes even more complicated as it accounts for imperfections (Guo, Zhao, Pi, Andrew & Dou 2015).…”

Section: Introductionmentioning

confidence: 99%

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Comparison between Elastic and Inelastic Lateral Torsional Buckling Load on Circular Fixed Channel Section Arches under Transverse Point Load

Tebo¹,

Masu²,

Nziu³

2020

International Journal of Engineering Research and Technology

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This paper presents a Finite Element Analysis (FEA) investigation on the elastic and inelastic prebuckling behaviour and Lateral-Torsional Buckling (LTB) loads on circular fixed ends arches of 6061-T6 aluminium alloy channel sections subjected to a transverse point load at the shear centre. The software package Abaqus was used to study a total of 110 arch models from three separate channel sections with an additional 16 arch models for validation. From the channel arches, 66 were developed at a constant length, while the remaining 44 arches were formed at constant slender ratios using 11 discrete included angles. The analytical and FEA prebuckling results showed good agreement, indicating that the FE models were reliable, efficient, and accurate. From this comparison, the elastic axial compressive forces were found to be higher than those of inelastic prebuckling ones and the opposite was true for the bending moments. For arches developed at constant span length, the maximum elastic LTB load overestimated the real LTB load by over 48 percent and decreases as the web to flange width ratio increases. Furthermore, the maximum elastic LTB load for arches developed constant slender ratio, ⁄ = 60 overestimated its inelastic counterpart by 38.8 percent. While at ⁄ = 90, the elastic LTB load overestimated its inelastic counterpart by only 14.1 percent. It was also found that as the slender ratio increased, the difference between the elastic and inelastic LTB loads drops and vice versa.

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“…The analysis of nontrivial arches is based on non-uniform prebuckling state of stress which entails complex stress distribution patterns making the process of generated the solutions cumbersome. This complexity of analysis has hindered the development of more studies on arches, particularly on fixed ends arches subjected to CCL that generates combined axial compressive and bending actions (Liu et al 2017).…”

Section: Introductionmentioning

confidence: 99%

Inelastic Lateral-Torsional Buckling Load on Fixed Circular Channels Arches Under Transverse Point Load

Tebo¹,

Masu²,

Nziu³

2020

International Journal of Engineering Research and Technology

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Lateral-torsional buckling of fixed circular arches having a thin-walled section under a central concentrated load

Cited by 34 publications

References 21 publications

Nonlinear Buckling Analysis of Functionally Graded Graphene Reinforced Composite Shallow Arches with Elastic Rotational Constraints under Uniform Radial Load

Nonlinear Buckling Analysis of Functionally Graded Graphene Reinforced Composite Shallow Arches with Elastic Rotational Constraints under Uniform Radial Load

Comparison between Elastic and Inelastic Lateral Torsional Buckling Load on Circular Fixed Channel Section Arches under Transverse Point Load

Inelastic Lateral-Torsional Buckling Load on Fixed Circular Channels Arches Under Transverse Point Load

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