37. Some stability aspects of reticulated shells

Sumec, Jozef

doi:10.1680/ss4v1.19683.0037

Cited by 2 publications

(2 citation statements)

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“…(22), the numerical analysis correspondingly gives an antisymmetric modal shape. As for three-way grid shells (see Fig.7), three types of buckling deformation (overall buckling, nodal buckling and member buckling) can occur [1,4,7,16]. However the present analyses give only overall buckling with a large wavelength.…”

Section: (25)mentioning

confidence: 80%

“…Among those, a remarkable research was performed by Wright [1], who based his analysis on a theory of shell buckling and discussed its application to the collapsed Bucharest Dome. Later development of computers had enabled engineers to verify the continuum buckling solutions by comparison with the numerical ones [2,3,4,5]. However, these investigations deal with three-way grid shells.…”

Section: Continuum Methods For Buckling Of Grid Shellsmentioning

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)mentioning

confidence: 80%

Section: Continuum Methods For Buckling Of Grid Shellsmentioning

confidence: 99%

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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Buckling of Reticulated Shells: State-of-the-Art

Gioncu

1995

International Journal of Space Structures

108

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In spite of spectacular development of reticulated shells, at least one problem has not yet been solved satisfactorily and that is the problem of buckling. The instability of isolated members is still an open question, while the instability of continuous shells is one of the most instricate problems of structural mechanics. Since reticulated shells have common feature with both lattice structures and shells, the characteristic difficulties of both types of structures are cumulated and amplified. The purpose of this report is to present the state-of-the-art of the buckling problems and the up-to-date bibliography for the reticulated shells. Many valuable theoretical and experimental studies have been carried out. However, from the designer's point of view, the situation cannot be considered satisfactory. It is of prime importance to have information concerning the essential factors influencing the behaviour, presented in the simplest possible form, emphasizing the essence of the phenomena.

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37. Some stability aspects of reticulated shells

Cited by 2 publications

References 4 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

Buckling of Reticulated Shells: State-of-the-Art

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