Efficient Re-Analysis Methodology for Probabilistic Vibration of Large-Scale Structures 2008-01-0216
It is challenging to perform probabilistic analysis and design of large-scale structures because probabilistic analysis requires repeated finite element analyses of large models and each analysis is expensive. This paper presents a methodology for probabilistic analysis and reliability based design optimization of large scale structures that consists of two re-analysis methods; one for estimating the deterministic vibratory response and another for estimating the probability of the response exceeding a certain level. The deterministic re-analysis method can analyze efficiently large-scale finite element models consisting of tens or hundreds of thousand degrees of freedom and large numbers of design variables that vary in a wide range. The probabilistic re-analysis method calculates very efficiently the system reliability for many probability distributions of the design variables by performing a single Monte Carlo simulation.
The methodology is demonstrated on probabilistic vibration analysis and reliability-based design optimization of a realistic vehicle model. It is shown that computational cost of the proposed re-analysis method for a single reliability analysis is about 1/20th of the cost of the same analysis using NASTRAN. Moreover, the probabilistic re-analysis approach enables a designer to perform reliability based design optimization of the vehicle at a cost almost equal to that of a single reliability analysis. Without using the probabilistic reanalysis approach, it would be impractical to perform reliability based design optimization of the vehicle.
Geng Zhang, Efstratios Nikolaidis, Zissimos P. Mourelatos
Oakland University, The University of Toledo
SAE World Congress & Exhibition
SAE International Journal of Materials and Manufacturing-V117-5EJ, Reliability and Robust Design in Automotive Engineering, 2008-SP-2170, SAE International Journal of Materials and Manufacturing-V117-5