Abstract
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.
Highlights
Single-layer lattice domes are often used in many modern engineering structures
It was observed that the node snapthrough was a decisive mode of the stability loss for all the cases
In Variant II, non-linear physical relationships for the truss element were taken into account, which lowered the value of the critical load capacity to 20.34 kN
Summary
Single-layer lattice domes are often used in many modern engineering structures. The key advantages offered by these structures include low dead load combined with relatively high critical load capacity. In the study [7], Bródka et al estimated critical load capacity of a structure constructed from bars according to the Prandtl model using a method of successive approximations. It can be even a few times lower than the critical load capacity of the dome with perfect geometry. The simulations concerned the assessment of the effect of single-layer lattice dome modelling on its critical load capacity. Different types of bar connection in a node, means of modelling dome bars and geometric imperfections were taken into account
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