Applications of stiffness-based evaluation method to element importance of truss systems

Cai, Jianguo; Jia, Wenwen; Feng, Jian; Wang, Fang; Yu, Xu

doi:10.3846/13923730.2016.1210221

Cited by 12 publications

(5 citation statements)

References 31 publications

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“…Miyachi, Nakamura, and Manda (2012) used the ultimate strength as a comparative parameter to assess robustness for different bridge truss design alternatives. More recently, Cai, Jia, Feng, Wang, and Xu (2017) proposed two performance indicators, the first one making use of the eigenvalues of stiffness matrix and the second based on the tangent stiffness of the structure. In addition, the stiffness-based vulnerability theory was seen to be used to identify the collapse mechanism or failure scenarios Ye, Liu, & Pan, 2011).…”

Section: Deterministic Indicesmentioning

confidence: 99%

Robustness-Based Optimal Progressive Collapse Design of Reinforced Concrete

Praxedes Silva Neto

2023

Preprint

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Progressive collapse of structures is a cascading failure phenomenon with a failure consequence that is disproportionate to the direct damage of an initiating event. The Ronan Point Building collapse in 1968 triggered the start of research on disproportionate progressive collapse in building structural engineering. Intense research was followed after the Alfred P. Murrah Federal Building bombing in 1995 and the disastrous collapse of the World Trade Centre after aircraft strikes. Progressive collapse has essentially two distinct features: system- rather than component-level responses, and low probability and high consequences. The majority of existing design codes and standards consider progressive collapse implicitly, by improving the performance of a structure through the specification of minimum levels of strength, continuity, and ductility. On the other hand, existing explicit design procedures largely consist of a component-based design approach. This study proposes an innovative system-based and risk-informed decision making framework for progressive collapse design of reinforced concrete frames. Considering the full spectrum of risk due to initiating events, a novel risk-based robustness index is proposed as a system-level performance criterion for design. From a conventionally designed structure, an optimization pro- cess identifies optimal allocation of resources that results in a robust system. An efficient design frontier is defined based on optimal designs when varying the additional expenses provided for the improvement of robustness of a structure. The efficient frontier is then used to verify the cost effectiveness of the design alternatives in conjunction with the cumulative prospect theory. In order to assist in the decision-making process of progressive collapse design provisions, a risk-cost trade-off framework is proposed. The design framework establishes whether additional resources must be used to enhance the robustness of a structure, and when required, it further identifies the optimal expenses that should be used to prevent potential progressive collapse.

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Section: Deterministic Indicesmentioning

confidence: 99%

Robustness-Based Optimal Progressive Collapse Design of Reinforced Concrete

Praxedes Silva Neto

2023

Preprint

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“…The stiffness-based judgment method determines the importance of a single element by studying its contribution to the overall structural stiffness (e.g., tangential stiffness). The tangential stiffness matrix contains structurally specific information, and its singularity can reflect structural safety [10]. However, the topology judgment that purely depends on the structural stiffness is divorced from the load effect, and the complex algorithm involved has a high threshold in engineering applications.…”

Section: Introductionmentioning

confidence: 99%

Application of Sensitivity Analysis to Progressive Collapse Resistance of Planar Truss Structures

Ke¹,

Liu²

2022

Applied Sciences

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The conventional sensitivity analysis method unanimously takes all remaining elements except the damaged ones as statistical objects, and element importance is evaluated by the mean value of the sensitive indices of statistical objects. However, from the perspective of resisting progressive collapse, the method is not sufficiently targeted, and the evaluation results have some mistakes. The shortcomings of the traditional sensitivity analysis method in element importance evaluation were analyzed and compared through finite element investigations of two types of planar trusses. Based on the anti-progressive collapse mechanism of the planar truss, the sensitivity analysis method with lower chords as statistical objects was proposed to evaluate the importance of planar truss structural elements. This method is conceptually straightforward, and the assessment results are beyond-compare regarding accuracy via comparison against the results of other evaluation methods. Furthermore, based on identifying important elements, the structure’s bearing capacity can be improved by targeted anti-progressive collapse design.

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“…It was found that the determinant of the stiffness matrix of the structure is closely related to the safety of the structure, and the importance coefficient of the element can be defined from the material stiffness matrix of the structure [23]. 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].…”

Section: Introductionmentioning

confidence: 99%

Applications of Energy-Based Evaluation Method of Element Importance to Grid Structures

Wang

Feng

et al. 2022

Symmetry

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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.

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Applications of stiffness-based evaluation method to element importance of truss systems

Cited by 12 publications

References 31 publications

Robustness-Based Optimal Progressive Collapse Design of Reinforced Concrete

Robustness-Based Optimal Progressive Collapse Design of Reinforced Concrete

Application of Sensitivity Analysis to Progressive Collapse Resistance of Planar Truss Structures

Applications of Energy-Based Evaluation Method of Element Importance to Grid Structures

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