Analysis based evaluation for buckling loads of two-way elliptic paraboloidal single layer lattice domes

Kato, Shiro; Yamashita, Tetsuo; Nakazawa, Shoji; Kim, Yun-Beom; Fujibayashi, Atsushi

doi:10.1016/j.jcsr.2006.11.014

Cited by 19 publications

(8 citation statements)

References 5 publications

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“…Numerical methods are used for the practical design of gridshells, because they allow for integration of complex issues, like material nonlinearities or geometrical imperfections. Some guidelines for the analysis of reticulated domes have been proposed by Kato et al [17,18]: these studies introduced geometrical imperfections and semi-rigid nodes. Bulenda and Knippers [6] performed parametric studies on domes and barrels vaults and evaluated the influence of imperfections on the stability of gridshells.…”

Section: Numerical Experimentsmentioning

confidence: 99%

Linear buckling of quadrangular and kagome gridshells: A comparative assessment

Mesnil

Douthe

Baverel

et al. 2017

Engineering Structures

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International audienceThe design of gridshells is subject to strong mechanical and fabrication constraints, which remain largely unexplored for non-regular patterns. The aim of this article is to compare the structural performance of two kind of gridshells. The first one is the kagome gridshell and it is derived from a non-regular pattern constituted of triangles and hexagons. The second one results from a regular pattern of quadrangles unbraced by diagonal elements. A method is proposed to cover kagome gridshells with planar facets, which reduces considerably the cost of fabrication of the cladding. The sensitivity of kagome gridshells to geometrical imperfections is discussed. The linearised buckling load of kagome gridshells is then compared to the one of quadrilateral gridshells. The most relevant design variables are considered in the parametric study. Two building typologies are studied for symmetrical and non-symmetrical load cases: dome and barrel vault. It reveals that the kagome gridshell outperforms quadrilateral gridshell for a very similar construction cost

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Section: Numerical Experimentsmentioning

confidence: 99%

Linear buckling of quadrangular and kagome gridshells: A comparative assessment

Mesnil

Douthe

Baverel

et al. 2017

Engineering Structures

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“…Lattice shells are habitually designed with mainly gravity loads in mind, as they can span large distances efficiently without intermediate columns. Their general design against gravity loads and global buckling has been covered extensively in previous studies [2][3][4][5][6][7][8][9][10], for all sorts of geometries including elliptic paraboloids [11,12], spherical domes [13,14], and cylindrical forms [15][16][17][18][19][20]. Although these structures are mainly designed for gravity loads, horizontal forces produced by earthquakes can have a significant influence on various design and performance aspects.…”

Section: Introductionmentioning

confidence: 99%

Seismic performance of single layer steel cylindrical lattice shells

Cedrón

Elghazouli

2019

Journal of Constructional Steel Research

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This paper examines the elastic and inelastic seismic behaviour of single layer steel cylindrical lattice shells. The main dynamic characteristics for this form of structure are firstly examined through a parametric assessment, which also leads to proposed expressions for estimating the fundamental period and mode of vibration. The seismic response of five typical shell configurations, representing a wide range of rise to span ratios, is then assessed within the linear elastic range under selected earthquake excitations. Particular focus is given to the relative influence of the horizontal and vertical seismic components on the internal actions. In order to provide a means for evaluating the underlying inelastic behaviour, a simple pushover approach, which is suitable for this structural form, is suggested using the forces obtained from the fundamental mode shape. The peak angle change is proposed as a damage parameter within the nonlinear analysis for characterising the inelastic global and local demands in shells of different geometries. Incremental dynamic analysis is subsequently carried out in order to evaluate the detailed nonlinear time history response. The results provide detailed insights into the influence of the horizontal and vertical excitations on the nonlinear seismic response, and illustrate the suitability of the peak angle change as an inelastic deformation measure for shells of different geometric configurations. The main findings from the linear and nonlinear assessments are highlighted within the discussions, with a view to providing guidance for performance based assessment procedures as well as simplified design approaches.

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“…loads interpreted as a column buckling strength in terms of generalized slenderness ratio. An efficient method for evaluating elastic-plastic buckling loads of two-way elliptic paraboloid lattice domes of single layer under vertical loads was proposed in [104]. The comparison of the evaluated buckling loads with those obtained from FEM elasto-plastic buckling analysis proves that the procedure is valid and efficient enough to be applied in design practice.…”

Section: An Approximate Formulamentioning

confidence: 95%

Geometry, Static, Vibration and Bucking Analysis and Applications to Thin Elliptic Paraboloid Shells

Кривошапко¹,

Gbaguidi-Aisse²

2016

TOBCTJ

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A large number of references dealing with the geometry, static, vibration and buckling analysis of elliptic paraboloid shells exist in the literature. This review work attempts to organize and summarize the extensive published literature on the basic achievements in investigations of thin-walled structures in the form of elliptic paraboloids. Possibilities of elliptic paraboloids with reference to machine-building and construction designs and to the apparatuses used in theoretical physics are briefly considered. The geometric part of the review is extended due to consideration of optimization of surface’s sizes, researches of representation of a surface on the plane and introducing bibliographic material on fractal geometry. Several existent analytical and numeral methods of calculation of the examined shells on durability give a possibility to choose one of the methods for the solution of new two-dimensional or three-dimensional tasks. Geometrical researches, approximation and bending of elliptic paraboloid surfaces, research of the stress-strain state of shells by analytical and numerical methods, natural and forced vibration of a shell, forming and setting of surfaces, application of shells in the form of elliptic paraboloids are the main problems which are considered in this review.

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Analysis based evaluation for buckling loads of two-way elliptic paraboloidal single layer lattice domes

Cited by 19 publications

References 5 publications

Linear buckling of quadrangular and kagome gridshells: A comparative assessment

Linear buckling of quadrangular and kagome gridshells: A comparative assessment

Seismic performance of single layer steel cylindrical lattice shells

Geometry, Static, Vibration and Bucking Analysis and Applications to Thin Elliptic Paraboloid Shells

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