Exact shape functions of imperfect beam element for stability analysis

Adman, R.; Afra, Hamid

doi:10.1016/j.advengsoft.2006.08.020

Cited by 10 publications

(6 citation statements)

References 14 publications

(14 reference statements)

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“…For each model, five types of member initial curvature amplitudes (δmax/l) are selected, as shown in Table 1. The boundary conditions include fixed hinge support, and the material is Q235 steel, with a yield strength of 235 MPa and an elastic modulus of 2.06×10 5 MPa. The steel stress-strain model of the single-layer reticulated dome is a combined-hardening model that possesses the characteristics of both isotropic and kinematic hardening models, as shown in Fig.…”

Section: Application To Single-layer Spherical Reticulated Domesmentioning

confidence: 99%

“…However, prefabricated bars of these dome may unavoidably become bent during production and transport, resulting in member initial curvatures. The member initial curvatures may reduce the buckling strength of the bars under axial compression load, due to the P-δ effect, leading to a redistribution of forces among members in the neighboring regions and to an interaction between individual member buckling and global instability of the dome, which may adversely affect the stability bearing capacity of the dome [5,6].…”

Section: Introductionmentioning

confidence: 99%

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Research on Influence of Member Initial Curvature on Stability of Single-Layer Spherical Reticulated Domes

2019

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The distribution modes and magnitudes of member initial curvature significantly influence the stability of single-layer reticulated dome. Based on the deflection curvature of a compression bar with unequal end moments, a numerical simulation method for member initial curvature considering end moment effects is proposed using multi-beam methods based on ABAQUS. The approach is verified through a comparison of experiments using different systems. Using Kiewitt-8 dome as an example, the extent of the member initial curvature's effect on the stability bearing capacity of these dome for different structure parameters is studied. The results show that the bending moments at the bar's ends can affect the deflection shape of a compression bar and that the most unfavorable condition occurs when the member initial curvatures are coordinate with the deflection shapes. The reduction degree of the stability load-bearing capacity of such dome modelled using member initial curvatures considering end moments is greater than that for curvatures without considering end moments. The influence of different member initial curvature amplitudes on the stability of these dome varies significantly, and a reasonable maximum value of the member initial curvature is proposed for performing stability analysis based on the structure response and realistic construction conditions.

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Section: Application To Single-layer Spherical Reticulated Domesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Research on Influence of Member Initial Curvature on Stability of Single-Layer Spherical Reticulated Domes

2019

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“…In view of the combined influence of shear deformation and member imperfection, Li and Liu [3] developed an accurate beam element stiffness matrix for the nonlinear analysis of planar steel frames. Adman and Afra [4] obtained an accurate displacement shape function for beam elements with imperfection under any boundary conditions. López et al [5] indicated that the rigidity of joint requires further study because it significantly affects the behavior of the structures.…”

Section: Introductionmentioning

confidence: 99%

Influence of Random Geometrical Imperfection on the Stability of Single-Layer Reticulated Domes With Semi-Rigid Connection

2019

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Single-layer reticulated domes are commonly used structural layouts due to their large span capacity and novel appearance. Such structures contain a large number of members, which inevitably lead to imperfection. In this study, a numerical method considering the initial curvature of members, nodal installation error, and joint stiffness was proposed. The randomness of the initial curvature direction, initial curvature magnitude, and joint stiffness could be considered simultaneously. The influence of random geometrical imperfection on the stability of two types of latticed shell structures was investigated. The proposed method could be performed based on general finite element software, and its applicability could be ensured.

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“…By considering the combined influence of shear deformation and member imperfection, Li and Liu (2005) developed an accurate beam element stiffness matrix for the nonlinear analysis of planar steel frames. Adman and Afra (2007) obtained an accurate displacement shape function for beam elements with imperfections under any boundary condition. In the research of Chan and Zhou (1995), the use of stability functions that initially allowed imperfections in place of a cubic Hermite element was proposed to conduct second-order analysis on the design of glass-supporting and pretensioned trusses.…”

Section: Introductionmentioning

confidence: 99%

Simplified numerical method for latticed shells that considers member geometric imperfection and semi-rigid joints

Zhao

Chen

Yan

et al. 2016

Advances in Structural Engineering

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Most finite element models of actual projects established in general finite element software are rigidly connected or connected by hinge joints. Member imperfection cannot be considered in such models, which is inconsistent with the actual situation in most projects. To estimate the influences of joint stiffness and member imperfection on the mechanical behavior of latticed shell structures, double elements and imperfect members were combined in this study. First, the accuracies of double elements and imperfect members were validated. Then, they were combined to establish imperfect elements with semi-rigid joints. The accuracy of imperfect elements with semi-rigid joints was also validated, and the relationship between joint stiffness and that of double elements was deduced. The findings validated that imperfect elements with semi-rigid joints could consider semi-rigid joints and imperfect members simultaneously and with high accuracy. In addition, imperfect elements with semi-rigid joints could be constructed conveniently in general finite element software.

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Exact shape functions of imperfect beam element for stability analysis

Cited by 10 publications

References 14 publications

Research on Influence of Member Initial Curvature on Stability of Single-Layer Spherical Reticulated Domes

Research on Influence of Member Initial Curvature on Stability of Single-Layer Spherical Reticulated Domes

Influence of Random Geometrical Imperfection on the Stability of Single-Layer Reticulated Domes With Semi-Rigid Connection

Simplified numerical method for latticed shells that considers member geometric imperfection and semi-rigid joints

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