Abstract
This paper presents a novel single loop approach to design the components of the load sharing systems by optimally allocating the failure probabilities to each component, thereby satisfying the overall system reliability requirement. The Reliability–Based Design Optimization (RBDO) of load sharing systems is computationally intensive due to the dynamic nature of component failure probabilities, since the failure of one component will vary the failure probabilities of other working components. Many RBDO methods have been successfully utilized to design individual components, however using these methods for handling system level reliability constraints is still a challenging task. This is because of a drop in accuracy and computational efficiency, especially when considering a load sharing system, where there is dependency in failure probabilities of components. The key idea is to integrate Stress–Strength Interference (SSI) theory with discrete (or) continuous time-discrete state Markov model for the reliability assessment of system, with the states being the condition of components (working/failed). This method takes advantage of the state transition probability matrix to represent the dynamic nature of the system performance. A numerical example of a simple load sharing system with two I-Beams is presented to illustrate and evaluate the performance of the proposed methodology.
Recommended Citation
A. B. Subramaniyan et al., "Reliability-Based Design Optimization of Load Sharing Systems using Ssi-Markov Models," Designs, vol. 3, no. 3, pp. 1 - 17, article no. 34, MDPI, Sep 2019.
The definitive version is available at https://doi.org/10.3390/designs3030034
Department(s)
Mechanical and Aerospace Engineering
Publication Status
Open Access
Keywords and Phrases
CTMC; DTMC; Markov Chain; Reliability-Based Design Optimization (RBDO); Single loop formulation; Stress–Strength Interference (SSI)
International Standard Serial Number (ISSN)
2411-9660
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2024 The Authors, All rights reserved.
Creative Commons Licensing
This work is licensed under a Creative Commons Attribution 4.0 License.
Publication Date
01 Sep 2019
