Abstract

It is necessary to perform the robustness design for the progressive collapse resistance of grid structures. However, there is a lack of a comprehensive index to evaluate the member importance. An evaluation method on element importances is proposed based on the element strain energy and element removal technology. The element importance coefficients can be calculated based on the change of strain energy vectors after the removal of analyzed elements using ANSYS. The influence of the loading pattern, boundary condition, and geometric parameters of square pyramid grid structures are investigated. Moreover, the other three types of spatial grids are introduced to explore the difference in element importance distributions. The considerable difference in element importance coefficient distribution for different grid structures shows that it is essential to establish a general program for rapid model robustness analysis. This principle in this work can be easily integrated into the existing design and analysis platform to make up for this shortcoming.

Highlights

  • Symmetry 2022, 14, 370. https://Over recent decades, with the sudden increase of accidents and terrorist activities, some progressive collapse accidents have occurred, causing serious casualties, property losses, and social impacts [1,2,3,4]

  • It can be found from the literature that there is a lack of a rapid evaluation method for the robustness of grid structures, which is essential in the conceptual analysis stage after the preliminary design of the grid structures

  • It can be found that the locations of the element with the highest importance coefficients in different grid structures are not affected by the structural span

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Summary

Introduction

With the sudden increase of accidents and terrorist activities, some progressive collapse accidents have occurred, causing serious casualties, property losses, and social impacts [1,2,3,4]. Based on previous research about the robustness, new theories or methods to element importance have been proposed successfully using new judgment indicators, where most are for frame structures, and a few are for grid structures [24,25,26,27,28,29]. It can be found from the literature that there is a lack of a rapid evaluation method for the robustness of grid structures, which is essential in the conceptual analysis stage after the preliminary design of the grid structures.

Evaluation Method of Element Importance
Hypothesis
Element Importance Coefficient
Flow Chart of the Method
Element Importance of Square Pyramid Space Grid Structures
Element
Influence of Load Pattern and Geometry
Effects of Load
The criteria of the pyramid spacespace grid grid structures reported in Table
Influence of the Support Conditions
Influence of the Span
Importance
Effects of the Spatial Grid Topology
Diagonal Square Pyramid Grids
Bi-Orthogonal Lattice Grids
12. The numbers of the cross-section and its details are given in Figure and
Conclusions

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