The Impact of Node Location Imperfections on the Reliability of Single-Layer Steel Domes

Zabojszcza, Paweł; Radoń, Urszula

doi:10.3390/app9132742

Cited by 11 publications

(15 citation statements)

References 39 publications

(36 reference statements)

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“…Depending on the arrangement of the rods, the structures can be divided into several groups (dome patterns), i.e., Kiewit domes, Lamella domes, Schwedler domes, and others. The research on standard steel domes concerns increasing the load capacity of the structure of the load-bearing capacity of the structure [1] and methods of taking into account the impact of non-uniform loads [2][3][4][5][6] or imperfections [7][8][9]. Most of the research focuses on optimization design [10,11], stability analysis [12,13], and reliability analysis [14,15].…”

Section: Introductionmentioning

confidence: 99%

Qualitative and quantitative analysis of tensegrity domes

Obara,

Solovei,

Tomasik

2023

Bulletin of the Polish Academy of Sciences Technical Sciences

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The paper concerns steel domes with regard to the special structures named tensegrity. Tensegrities are characterized by the occurrence of self-stress states. Some of them are also characterized by the presence of infinitesimal mechanisms. The aim of this paper is to prove that only tensegrity domes with mechanisms are sensitive to the change of the level of initial prestress. Two tensegrity domes are considered. In addition, a standard single-layer dome is taken into account for comparison. The analysis is carried out in two stages. Firstly, the presence of the characteristic tensegrity features is examined (qualitative analysis). Next, the behavior under static external loads is studied (quantitative analysis). In particular, the influence of the initial prestress level on displacements, effort, and stiffness of the structure is analyzed. To evaluate this behavior, a geometrically non-linear model is used. The model is implemented in an original program written in the Mathematica environment. The analysis demonstrates that for a dome with mechanisms, the adjustment of pre-stressing forces influences the static properties. It has been found that the stiffness depends not only on the geometry and properties of the material but also on the initial prestress level and external load. In the case of the non-existence of mechanisms, structures are insensitive to the initial prestress level.

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Section: Introductionmentioning

confidence: 99%

Qualitative and quantitative analysis of tensegrity domes

Obara,

Solovei,

Tomasik

2023

Bulletin of the Polish Academy of Sciences Technical Sciences

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“…Problems of the stability analysis with FEM is currently the subject of many papers [29][30][31][32][33].…”

Section: Methodsmentioning

confidence: 99%

Assessment of the Effect of Wind Load on the Load Capacity of a Single-Layer Bar Dome

2020

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The main purpose of the paper was the assessment of the effect of wind load on the load capacity of a single-layer bar dome. Additionally, which numerical method is appropriate for low-rise single-layer bar domes was checked. In order to explain the effect of the height-to-span ratio on the selection of the appropriate calculation model and method of analysis of the bar dome, an example of the known von Mises truss was proposed. Two cases of von Mises truss differing in the height-to-span ratio were considered. For the shallow structure, a significant change in the value of the stiffness matrix determinant and the current stiffness parameter was observed. A similar tendency in the behavior of the structure can be observed on fragments of larger structures, including shallow single-layer steel domes. These problems are described on the basis of the dome, which is located on top of the building housing the restaurant. This structure is subjected to large displacement gradients and the actual configuration is taken into account in analysis. The analysis showed that there is a change in stiffness for these structures, and, therefore, that such structures should be designed according to geometric nonlinear analysis (GNA).

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“…The role of partial safety factors is to ensure the required level of structural reliability. Probabilistic approximation (FORM [ 2 , 3 , 4 , 5 , 6 ], SORM [ 7 , 8 , 9 ]) or simulation (Monte Carlo, Importance Sampling [ 10 , 11 , 12 , 13 , 14 ]) are an extension of the semi-probabilistic limit state method. The probabilistic approach allows a more accurate and more realistic description of materials, geometric parameters and loads, acting on structures by specifying the type of probability distribution and its parameters.…”

Section: Introductionmentioning

confidence: 99%

Optimization of Steel Roof Framing Taking into Account the Random Nature of Design Parameters

Zabojszcza

Radoń

2022

Materials

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The main subject of this paper is an optimization of steel roof framing used as a load-bearing structure in commercial pavilions. The authors wanted to draw attention to the necessity to take into account the uncertainty in the description of design parameters during optimization. In the first step, using geometrically nonlinear relationships, a static-strength analysis is performed. The decisive form of loss of stability in this steel roof framing is the jump of the node (snap-through), and not the buckling of the most stressed structure bars. Therefore, when creating the limit function, it was decided to make a condition limiting the permissible displacement. Values of the implicit limit function were calculated with Abaqus software based on the finite element method. Reliability analysis, and robust and deterministic optimization were performed using Numpress Explore software. Numpress Explore software communicates with the Abaqus software to perform analysis. The task ended with the generation of information that contained the failure probability, reliability index and the values of optimized areas of the bars’ cross-sections. The end result of the optimization is not a cost analysis, but an assessment of the safety of the structure.

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The Impact of Node Location Imperfections on the Reliability of Single-Layer Steel Domes

Cited by 11 publications

References 39 publications

Qualitative and quantitative analysis of tensegrity domes

Qualitative and quantitative analysis of tensegrity domes

Assessment of the Effect of Wind Load on the Load Capacity of a Single-Layer Bar Dome

Optimization of Steel Roof Framing Taking into Account the Random Nature of Design Parameters

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