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Structural failure probability estimation using HDMR and FFT
Published in
2008
Volume: 8

Pages: 67 - 76
Abstract
This paper presents a new and alternative method based on High Dimensional Model Representation (HDMR) and fast Fourier transform (FFT) to estimate the structural failure probability of structural systems subject to random loads, material properties and geometry. The proposed methodology is based on the limit state/performance function approximation and the convolution theorem to estimate the structural failure probability. The limit-state function is obtained by linear approximation of the first-order HDMR component functions at the most probable failure point, and the convolution integral is solved efficiently using the FFT technique. The proposed technique estimates the failure probability accurately with significantly less computational effort compared to the direct Monte Carlo simulation. The accuracy and efficiency of the proposed method is demonstrated through numerical examples involving implicit performance functions.
Journal Electronic Journal of Structural Engineering 14439255 No
Concepts (34)
• Convolution
• Failure (mechanical)
• Fast fourier transforms
• FRACTURE MECHANICS
• Functions
• Monte carlo methods
• Polynomial approximation
• Probability
• Probability density function
• Random processes
• Reliability
• Safety engineering
• Structural integrity
• Uncertain systems
• Alternative methods
• COMPUTATIONAL EFFORTS
• Convolution integrals
• CONVOLUTION THEOREMS
• FAILURE POINTS
• First orders
• FUNCTION APPROXIMATIONS
• HIGH DIMENSIONAL MODEL REPRESENTATION
• Linear approximations
• Material properties
• Monte carlo simulations
• Numerical examples
• PERFORMANCE FUNCTIONS
• STATE FUNCTIONS
• STRUCTURAL FAILURES
• Structural reliability
• STRUCTURAL SYSTEMS
• Fourier transforms