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Journal ArticleDOI

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

01 Mar 1995-International Journal of Space Structures (SAGE PublicationsSage UK: London, England)-Vol. 10, Iss: 1, pp 1-46
TL;DR: In spite of the spectacular development of reticulated shells, at least one problem has not yet been solved satisfactorily and that is the problem of buckling as mentioned in this paper, the instability of isolated members is st...
Abstract: 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 st...
Citations
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Journal ArticleDOI
TL;DR: In this paper, a model is proposed for the ORTZ joint, which is established from the dimensions and properties of the different elements of which the joint is composed and considers the possibility of the material reaching its yield point.

132 citations

Journal ArticleDOI
TL;DR: In this article, the authors present results obtained from analysis of the nonlinear behavior of single-layer lattice domes with different geometric parameters and joint rigidity for two load cases and conclude with the proposal of a new formula which allows designers a rapid estimation of buckling loads for semi-rigid jointed single layer latticed domes under symmetric loading conditions.

95 citations

Journal ArticleDOI
TL;DR: In this paper, the elasto-plastic stability of seven types of commonly used single-layer reticulated shells was investigated systematically with ANSYS, in which more than 2000 cases of geometrically and material nonlinear analysis were conducted with different initial geometrical imperfections, geometorical, structural and load parameters.
Abstract: Investigation of elasto-plastic stability of reticulated shells has gradually become more and more attractive to researchers. However, the analysis of the elasto-plastic stability is much more complicated than the elastic analysis, because of the involvement of both the geometrical nonlinearity and the material nonlinearity and the interactions of the two. Taking into consideration of material nonlinearity, the elasto-plastic stability behaviour of reticulated shells will be significantly different, which can only be revealed by large amount of geometrically and material nonlinear analysis of the structures. The elasto-plastic stability of seven types of commonly used single-layer reticulated shells (Kiewitt-8, Kiewitt-6, Geodesic, Schwedler Bidirectional, Schwedler Monoclonal, Sunflower, and Radial Rib) was investigated systematically with ANSYS, in which more than 2000 cases of geometrically and material nonlinear analysis were conducted with different initial geometrical imperfections, geometrical, structural and load parameters. Based on the analytical results and via comparison between elastic and elasto-plastic buckling loads, the plasticity influence coefficients were summarized for each type of the reticulated domes. These coefficients can be used to predict accurately the elasto-plastic buckling load in design practice of the reticulated domes, which is an easy way for designers to evaluate stability of the reticulated shells.

86 citations

Journal ArticleDOI
TL;DR: In this article, a multi-node sliding cable element was formulated for the analysis of cable structures with cables threading through a number of joints and being able to slide inside them.

74 citations

Journal ArticleDOI
TL;DR: In this paper, a multi-beam method was presented to simulate the initial curvature of members, and two modeling methods were adopted to evaluate the lowest buckling load of the structure with initial curvatures of members.
Abstract: Initial curvature of members is an inevitable geometrical imperfection for reticulated domes. To investigate the stability of single-layer domes with initial curvature of members, the multi-beam method was presented to simulate the initial curvature of members, and two modeling methods were adopted to introduce the initial curvature of members for reticulated domes by means of ANSYS. First, the random imperfection mode method was introduced according to the randomness of initial curvature of members. The example of a Kiewitt-8 dome was used to explain the method and investigate the influence of angle and amplitude random variables on the stability of reticulated domes. Second, the modified consistent imperfection mode method was obtained, which was an efficient method to evaluate the lowest buckling load of the structure with initial curvature of members. Based on this method, the Kiewitt-6 and Kiewitt-8 single-layer reticulated domes were taken as examples to analyze the stability of structures with initial curvature of members, and the influences of initial curvature of members on the ideal structure and the structure with nodes deviation were obtained quantitatively. The results show that, for the ideal structure and the structure with nodes deviation, initial curvature of members can decrease the buckling load of the structure obviously. Initial curvature of members can change the buckling mode and plasticity development of the structure. The influence of initial curvature of members on the elasto-plastic stability of single-layer reticulated domes cannot be neglected.

50 citations

References
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Book
01 Jan 1982
TL;DR: Elements finis Reference Record created on 2004-09-07, modified on 2016-08-08.
Abstract: Keywords: Methode des elements finis ; Mathematique ; Elements finis Reference Record created on 2004-09-07, modified on 2016-08-08

5,049 citations

Journal ArticleDOI
TL;DR: In this paper, an incremental approach to the solution of buckling and snapping problems is explored, where the authors use the length of the equilibrium path as a control parameter, together with the second order iteration method of Newton.

1,821 citations

Journal ArticleDOI
TL;DR: In this article, a modified version of the Newton-Raphson method is proposed to overcome limit points in the finite element method with a fixed load level and a constraint equation.

1,581 citations

Book
01 Jan 1973

1,065 citations

Journal ArticleDOI
TL;DR: The numerical solution of problems of elastic stability through the use of the iteration method of Newton is examined in this paper, where it is found that if the equations of equilibrium are completed by a simple auxiliary equation, problems governed by a snapping condition can, in principle, always be calculated as long as the problem at hand is properly formulated.
Abstract: The numerical solution of problems of elastic stability through the use of the iteration method of Newton is examined. It is found that if the equations of equilibrium are completed by a simple auxiliary equation, problems governed by a snapping condition can, in principle, always be calculated as long as the problem at hand is properly formulated. The effectiveness of the proposed procedure is demonstrated by means of an elementary example.

722 citations