Direct Estimation of Critical Load for Single-Layer Reticulated Domes with Semi-Rigid Joints

2010 ◽  
Vol 25 (1) ◽  
pp. 15-24 ◽  
Author(s):  
Feng Fan ◽  
Hui-Huan Ma ◽  
Zheng-Gang Cao ◽  
Shi-Zhao Shen
2018 ◽  
Vol 219 ◽  
pp. 02017 ◽  
Author(s):  
Paweł Zabojszcza ◽  
Urszula Radoń ◽  
Paulina Obara

In the study an attempt was made to evaluate the effect produced by the modelling of the single-layer lattice dome on its critical load capacity. The modelling concerned the means of connecting bars in a node, bars of the lattice dome, and the effect of geometric imperfections. Taking steel covers, two basic means of modelling of how bars are connected in the node can be distinguished, namely pin and rigid joints. In the study, the pin joint was SBP-1 type connector, whereas the rigid joint - WABI-1 connector. In the description of bars, truss and frame elements were employed. Each element accounted for geometric nonlinearities in the Lagrange description. Regarding a frame element, the physical relationships represented the elastic behaviour of the structure with the use of the Hooke’s law. With respect to the compression truss elements, a nonlinear relationship resulting from experimental investigations was additionally employed. Stability analysis of the structure was performed by means of the Finite Element Method using Abaqus and Robot Structural Analysis software. In order to obtain the load-displacement relations, the Riks arc length method was used. The analysis was focused on global modes of stability loss due to snap-through and bifurcation.


The circumstances are discussed under which orthogonal relations exist between the elastic critical modes of plane frames subjected to proportional loading. Orthogonal relations may be obtained provided the loading does not produce any components of deformation associated with any of the critical modes at arbitrary levels of the load factor, and provided no part of the structure remains statically indeterminate due to bar forces when all rigid joints are replaced by pin joints. When at arbitrary load factors, the structure deforms with components associated with any of the buckling modes, the elastic failure load is not identical with the lowest elastic critical load, although for many frames the two loads may be very close. A general expression is obtained which reveals the relation between the deformations at an arbitrary load level and the deflexions given by linear analysis. The difference between the elastic failure load and the elastic critical load is discussed, and an approximate treatment applicable to certain types of frame and associated loading is developed.


2012 ◽  
Vol 138 (12) ◽  
pp. 1505-1514 ◽  
Author(s):  
X. D. Zhi ◽  
G. B. Nie ◽  
F. Fan ◽  
S. Z. Shen

2018 ◽  
Vol 132 ◽  
pp. 208-216 ◽  
Author(s):  
Jialu Ma ◽  
Feng Fan ◽  
Lingxin Zhang ◽  
Chengqing Wu ◽  
Xudong Zhi

2016 ◽  
Vol 114 ◽  
pp. 158-170 ◽  
Author(s):  
Jiachuan Yan ◽  
Feng Qin ◽  
Zhenggang Cao ◽  
Feng Fan ◽  
Y.L. Mo

1992 ◽  
Vol 7 (4) ◽  
pp. 265-273 ◽  
Author(s):  
Toshiro Suzuki ◽  
Toshiyuki Ogawa ◽  
Kikuo Ikarashi

In the present paper, the effect of imperfection on the elastic buckling load and mode shapes of externally-loaded single layer reticulated domes is investigated. The types of buckling concerned here are the general buckling, the local (dimple) buckling and the buckling of a member. As to the geometric parameter of a dome, the slenderness factor S is adopted which represents the openness and slenderness of the dome. The maximum value of the imperfection is assumed to be the normal random variable. The buckling loads are computed by the linear and the nonlinear buckling analysis using the finite element method. The statistical values are calculated by the three-points estimates method. The main points of interest are the influence of the shape and the extent of an imperfection on the buckling load.


Sign in / Sign up

Export Citation Format

Share Document