Abstract
Safety design and probabilistic optimization are fields that are widely subject to uncertainty, thus making traditional deterministic methods highly unreliable for these two fields. Popular design optimizations methods widely used for safety design and probabilistic optimization are the performance measure approach (PMA) and the performance measure approach (RIA). In a problem where the analysis is performed from an infeasible design space, a modified reliability index approach (MRIA) is employed to address some inefficiency of the traditional RIA to be able to find the optimal solutions. The PMA uses an inverse reliability analysis, which is more computationally efficient at finding the most probable design points but has been reported to have numerical instabilities on some cases. In this paper, three benchmark examples were thoroughly studied with various initial points to examine the stability and efficiency of MRIA and PMA. A hybrid reliability approach (HRA) was then presented after determining a selection factor from the optimum conditions. The proposed HRA aims to determine which of the two optimization methods would be more appropriate during the optimization processes.
Highlights
Traditional deterministic approaches for optimization of components, products, and systems have been replaced in the past decades of approaches that integrate probabilistic considerations due to the nature of the problem for safety design and probabilistic considerations
performance measure approach (PMA) has been preferred over modified reliability index approach (MRIA) to solve reliability based design optimization (RBDO) problems because the inverse reliability analysis was generally more efficient compared to MRIA
The first nonlinear problem shows a general case for nonlinear problems; MRIA would yield stable results with efficiency expressed in terms of the function evaluations (FE) relatively poorer compared to PMA but PMA suffers from some instabilities which was prominent in the highly nonlinear problem
Summary
Safety design and probabilistic optimization are fields that are widely subject to uncertainty, making traditional deterministic methods highly unreliable for these two fields. Popular design optimizations methods widely used for safety design and probabilistic optimization are the performance measure approach (PMA) and the performance measure approach (RIA). In a problem where the analysis is performed from an infeasible design space, a modified reliability index approach (MRIA) is employed to address some inefficiency of the traditional RIA to be able to find the optimal solutions. The PMA uses an inverse reliability analysis, which is more computationally efficient at finding the most probable design points but has been reported to have numerical instabilities on some cases. The proposed HRA aims to determine which of the two optimization methods would be more appropriate during the optimization processes
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
