Abstract
In recent years, the topic of progressive structural collapse has received more attention around the world, and the study of element importance is the key to studying progressive collapse resistance. However, there are many elements in truss structures, making it difficult to predict their importance. The global stiffness matrix contains the specific information of the structure and singularity of the matrix can reflect the safety status of the structure, so it is useful to evaluate the key elements based on the global stiffness matrix for truss structures. In this paper, according to the tangent stiffness-based method for the element importance, the square pyramid grid was chosen as an example, and the distribution rules of key elements under different support conditions, stiffness distributions, and geometric parameters were studied. Then, three common symmetric grid forms, i.e., diagonal square pyramid grids, biorthogonal lattice grids, and biorthogonal diagonal lattice grids, were selected to investigate their importance indices of elements. The principle in this work can be utilized in progressive collapse analysis and safety assessment for spatial truss structures.
Highlights
In recent years, the topic of progressive structural collapse has received more and more attention around the world
Kang and Tan [2,3] carried out an experimental study on the resistance and failure mode of concrete frames with column removal, which showed that the horizontal forces on the progressive collapse resistance should be considered
There were more experimental and numerical studies on frames with column removal to study the resistance against progressive collapse [5,6,7]
Summary
The topic of progressive structural collapse has received more and more attention around the world. A 3D finite element model of a double-layer space grid structure was built to investigate the structural behavior, and several collapse scenarios were studied using the alternative method [12]. Proposed a method for identifying the sensitive and key elements and studied the robustness of the steel truss roof using both nonlinear static and dynamic analysis while their procedure is complex. Some researchers proposed an energy-based structural damage index to judge whether the progressive collapse of a steel frame structure occurs. They developed a probabilistic assessment method for a steel frame with a column removal subject to catastrophic events [16,17]. Three kinds of grid structures—diagonal square pyramid grids, biorthogonal lattice grids, and biorthogonal diagonal lattice grids—were selected to study their importance indices of elements and the distribution of key elements
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