Out-Of-Plane Buckling of Curved Members

Ojalvo, Morris; Demuts, E.; Tokarz, F.J.

doi:10.1061/jsdeag.0002384

Cited by 29 publications

(5 citation statements)

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“…However, when arches deform in spatial deformation pathways, in addition to axial and transverse bending energies, there are torsional and out-of-plane bending energies. We show that the key to modelling these interrelated energy terms is a geometric relation, which we obtain by modifying a St. Venant and Michell relationship discussed in 1969 [13,14].…”

Section: Introductionmentioning

confidence: 93%

“…The displacement and rotation are related to each other. St. Venant and Michell described this relationship for lateral-torsional buckling analysis in planar arches [13,14]; which we use in this paper for analyzing planar arches with spatial deformation pathways. Furthermore, for the analysis pertaining spatial arches given in figure 2, we generalize the St. Venant and Michell relation considering the additional curvature of the arch.…”

Section: Introductionmentioning

confidence: 99%

“…Furthermore, for the analysis pertaining spatial arches given in figure 2, we generalize the St. Venant and Michell relation considering the additional curvature of the arch. That is to say, when one of curvatures of the arch in the modified relationship is taken to be zero, the relationship reduces to its original form given in [13,14].…”

Section: Introductionmentioning

confidence: 99%

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Analytical modelling of spatial deformation pathways in planar and spatial shallow bistable arches

Palathingal

Ananthasuresh

2019

Proc. R. Soc. A.

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We analyse spatial bistable arches and present an analytical model incorporating axial, two transverse bending and torsion energy components. We extend the St. Venant and Michell relationship used in flexural-torsional buckling of planar arches and use it in modelling spatial arches. We study deformation pathways in spatial arches and their effect on critical characteristics of bistability such as back and forth switching forces, and the distance travelled by a point of the arch. We show that not considering spatial deformation leads to incorrect inferences concerning the bistability of planar arches too. Thus, this model serves as a generalized framework for the existing analysis on planar arches since they belong to a subset of spatial arches. Additionally, the effects of eccentric loading on spatial deformations are explored for arches with a range of as-fabricated shapes and boundary conditions, and the results are validated with finite-element analysis.

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Section: Introductionmentioning

confidence: 93%

Section: Introductionmentioning

confidence: 99%

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Analytical modelling of spatial deformation pathways in planar and spatial shallow bistable arches

Palathingal

Ananthasuresh

2019

Proc. R. Soc. A.

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“…Ojalvo et al [1] studied the elastic stability of ring segments with a thrust or a pull directed along the chord.…”

Section: Introductionmentioning

confidence: 99%

In-Plane Buckling Analysis of Asymmetric Curved Beam Using DQM

Kang¹,

Park²

2013

Journal of the Korea Academia-Industrial cooperation Society

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One of the efficient procedures for the solution of partial differential equations is the method of differential quadrature. This method has been applied to a large number of cases to circumvent the difficulties of programming complex algorithms for the computer, as well as excessive use of storage due to conditions of complex geometry and loading. Under in-plane uniform distributed load, the buckling of asymmetric curved beam with varying cross section is analyzed by using differential quadrature method (DQM). Critical load due to diverse cross section variation and opening angle is calculated. Analysis result of DQM is compared with the result of exact analytic solution. As DQM is used with small grid points, exact analysis result is shown. New result according to diverse cross section variation is also suggested.

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“…Den Hartog [2] used the Rayleigh-Ritz method to obtain the in-plane lowest frequencies of circular curved fixed-fixed beams. Volterra and Morell [3][4] and Ojalvo et al [5] calculated the natural frequencies of in-plane and out-of-plane vibration of circular arches based on classical beam theory by excluding rotary inertia and shear deformation. Pestel and Leckie [6] compared the natural frequencies of curved beams obtained by different methods.…”

Section: Introductionmentioning

confidence: 99%

Linear Vibrations of Frames Carrying a Concentrated Mass

Özyiğit

2009

MCA

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The free and forced in-plane and out-of-plane vibrations of frames are investigated. The beam has a straight and a curved part. It has a circular cross-section. A concentrated mass is also located at different points of the frame with different mass ratios. FEM is used to analyze the problem. The in-plane and out-of-plane natural frequencies, point and transfer receptances of the system are obtained to determine the sensitive and non-sensitive frequency intervals depending on the location and direction of the force.

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Out-Of-Plane Buckling of Curved Members

Cited by 29 publications

References 0 publications

Analytical modelling of spatial deformation pathways in planar and spatial shallow bistable arches

Analytical modelling of spatial deformation pathways in planar and spatial shallow bistable arches

In-Plane Buckling Analysis of Asymmetric Curved Beam Using DQM

Linear Vibrations of Frames Carrying a Concentrated Mass

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