Chapter
May 14, 2014
Topology-Based Quantitative Analysis of Structural Robustness
Publication: Sustainable Development of Critical Infrastructure
Abstract
Robustness has been recognized as the ability of a structure to maintain stable functioning in the face of local damages. The purpose of the robustness analysis is to quantify such an overall performance and to identify the defect of the structural topology. This paper presents a methodology to quantitatively analyze the structural robustness from the topological point of view. In the proposed method, the structural failure is viewed as a transformation and feedback process between the damage input and the failure output. By using the uncertain disturbance and the topological change of the structure to respectively measure two such quantities, the transfer matrix is established not only to describe the structural topology, but also to determine the operation of the closed-loop system. By studying the related properties of the transfer matrix, the importance of each loading path, the robustness of the entire structure, as well as the most vulnerable part of the system can be found concisely.
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© 2014 American Society of Civil Engineers.
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Published online: May 14, 2014
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ASCE Technical Topics:
- Analysis (by type)
- Buckling
- Continuum mechanics
- Critical loads
- Defects and imperfections
- Dynamics (solid mechanics)
- Engineering fundamentals
- Engineering mechanics
- Failure analysis
- Forensic engineering
- Materials characterization
- Materials engineering
- Mathematical functions
- Mathematics
- Matrix (mathematics)
- Quantitative analysis
- Solid mechanics
- Structural analysis
- Structural behavior
- Structural dynamics
- Structural engineering
- Structural failures
Authors
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Doctoral Student, Dept. of Civil Engineering, Shanghai Jiaotong Univ., No. 800 Dongchuan Rd., Shanghai 200240, China. E-mail: [email protected]
Professor, Dept. of Civil Engineering, Shanghai Jiaotong Univ., No. 800 Dongchuan Rd., Shanghai 200240, China. E-mail: [email protected]
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