18. Study of the elasto-plastic buckling of single-layer domes

Matsushita, Fujio; Ohya, T.; Mukaiyana, Y.; Matsue, Yasuo

doi:10.1680/ss4v1.19683.0018

Cited by 6 publications

(5 citation statements)

References 2 publications

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“…However the present analyses give only overall buckling with a large wavelength. This strongly characterises the buckling behaviour of two-way grid shells, as already pointed out in other papers [6,9,11,16]. It is also an important point to be reminded in design practice because once the load level exceeds the buckling load, the whole structure might collapse rapidly.…”

Section: (25)supporting

confidence: 69%

“…In the second discussion, how to apply the derived buckling formula to the estimation of elasto-plastic buckling strength is demonstrated. As reported by Matsushita et al [11], elasto-plastic buckling strength of two-way grid shells can be estimated by applying a buckling strength curve in terms of the generalised slenderness, similarly to three-way grid shells. We demonstrate that the buckling formula is effectively applied to obtain the generalised slenderness and the elasto-plastic buckling strength can be accurately estimated, without performing any nonlinear numerical analysis.…”

Section: Organisation Of Investigationmentioning

confidence: 99%

“…We introduce an effective method to estimate the ultimate strength of two-way grid shells in which a Tables 8 Elasto-plastic buckling loads compressive strength curve defined in terms of generalised slenderness is used as the key measure. Originally the method was proposed by Kato et al [10] for three-way grid shells and Matsushita et al [11] tried to apply the method to evaluate the buckling strength of two-way grid shells.…”

Section: L~ N Cr / N Y Relationshipmentioning

confidence: 99%

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Evaluation of Elasto-Plastic Buckling Strength of Two-Way Grid Shells Using Continuum Analogy

Kato

Yamashita²

2002

International Journal of Space Structures

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The present paper aims to propose a method to evaluate elasto-plastic buckling strength of two-way grid shells, using mathematical formulas for linear buckling derived based on the continuum shell analogy. The paper is organised from two principal points of view. In the first discussion, we derive two formulas for linear buckling of two-way grid shells by substituting the equivalent continuum rigidity into the buckling formulas for orthotropic shells. The applicability of the formulas is verified using several structural examples by comparison with the other proposed formulas and FEM results. In the second discussion, based on the concept of column buckling, an effective approach to estimate elasto-plastic buckling strength of two-way grid shells is demonstrated. In the estimation procedure, the buckling formulas derived in the first discussion are effectively applied to obtain the generalised slenderness.

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Section: (25)supporting

confidence: 69%

Section: Organisation Of Investigationmentioning

confidence: 99%

Section: L~ N Cr / N Y Relationshipmentioning

confidence: 99%

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Evaluation of Elasto-Plastic Buckling Strength of Two-Way Grid Shells Using Continuum Analogy

Kato

Yamashita²

2002

International Journal of Space Structures

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“…Steel reticulated shells have been widely applied in public buildings and intensively investigated in theoretical research. In most cases, the failure patterns of reticulated shells are the instability and buckling of compression members [1,2], and this issue deserves more attention [3,4]. The buckling of compression members may lead to the progressive collapse of the structures, resulting in catastrophic failures [5,6] such as the collapse of the Quebec Bridge [7] and the Hartford Civic Center Coliseum [8].…”

Section: Introductionmentioning

confidence: 99%

Static Behaviors and Applications of Buckling Monitoring Members with Rigid Ends

2021

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The buckling of compression members may lead to the progressive collapse of spatial structures. Based on the sleeved compression member, the buckling monitoring member is introduced to control the buckling of compression member and raise buckling alert by sensing contact between the core tube and the restraining tube. Considering the rigid connection among the members in spatial structures, the buckling monitoring member with rigid ends needs to be further analyzed. An experimental test was conducted and finite element analyses were performed with calibrated finite element models. The results indicated that the ultimate bearing capacity and post-ultimate bearing capacity of the core tube were enhanced due to the restraint from the restraining tube. The contact was successfully sensed by pressure sensor, revealing that it sensed the buckling of the core tube. Parametric studies were conducted, indicating that the core protrusion, core slenderness ratio, the gap between the core tube and restraining tube, and the flexural rigidity ratio are the key parameters affecting the bearing capacity and the failure modes of the buckling monitoring member, and some key values of parameters were proposed to obtain good bearing capacity. Based on the parametric studies, the failure modes of buckling-monitoring members are summarized as global buckling and local buckling. The stress distribution and deformation mode of buckling monitoring members are presented in the non-contact, point-contact, line-contact, reverse-contact and ultimate bearing state. The buckling monitoring member is applied in a reticulated shell by substituting the buckling members. It can effectively improve the ultimate bearing capacity of reticulated shell.

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“…A sizable amount of work has been dedicated to assess the buckling behaviour of single layer lattice structures. Issues such as the buckling analysis in the elastic and plastic ranges, and the effects of imperfections in the failure mechanism of the structure have been thoroughly investigated [1][2][3] . However, there is still an uncertainty at the time of performing the buckling design of individual elements within the structure.…”

Section: Introductionmentioning

confidence: 99%

A Direct Method for Buckling Analysis of Single Layer Lattice Structures

Loureiro¹,

Goñi

Bayo

2002

International Journal of Space Structures

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Numerous authors have studied the buckling behaviour of single layer lattice structures. Issues such as the buckling analysis in the elastic and plastic ranges, and the effects of imperfections in the failure mechanism of the structure have been investigated. However, there is still an uncertainty at the time of performing the buckling design of individual elements within the structure. This uncertainty stems from the need to approximate the effective length of each individual member. In addition, the approximate design criteria established by the different codes, and in particular Eurocode 3, are generally applicable to planar frames, but uncertain for spatial structures. This paper presents a direct one-step method for the buckling analysis of single layer lattice structures. The method avoids the use of the effective length factor of each individual element. The key point is to perform a non-linear analysis of the structure starting from an initial deformation state that includes the initial imperfections of the elements. Such an initial deformation state is obtained from the first buckling mode of the structure by a suitable scaling procedure based on an energy approach. The resulting initial deformed shape is introduced along with the external loads in a fully non-linear structural analysis that yields the resulting element stresses including the buckling effects. The performance of the method is checked by means of a series of numerical examples. The stiffness characteristics of the connections have been obtained, and included in the analysis, thus showing their influence on the behaviour of the structure.

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18. Study of the elasto-plastic buckling of single-layer domes

Cited by 6 publications

References 2 publications

Evaluation of Elasto-Plastic Buckling Strength of Two-Way Grid Shells Using Continuum Analogy

Evaluation of Elasto-Plastic Buckling Strength of Two-Way Grid Shells Using Continuum Analogy

Static Behaviors and Applications of Buckling Monitoring Members with Rigid Ends

A Direct Method for Buckling Analysis of Single Layer Lattice Structures

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