Publication detail

Simulation of random fields for stochastic finite element analysis

VOŘECHOVSKÝ, M., NOVÁK, D.

Original Title

Simulation of random fields for stochastic finite element analysis

Type

conference paper

Language

English

Original Abstract

Randomizaci komerčnách a akademických programů založených na metodě konečných prvků je v poslední době věnována nárůstající pozornost. Jenomže výpočtové nároky jsou zejména u nelineárních úloh čaasto značné Simulace náhodných polí je základní úlohou v metodě stochastických konečných prvků (SFEM). There are many techniques available nowadays, but for computationally intensive problems (typically nonlinear FEM calculations) we are constrained by small number of Monte Carlo type simulations we can afford. The paper proposes a method which combines the spectral decomposition of covariance matrix and improved Latin Hypercube Sampling (LHS). Paper tackles some extremely important aspects of random fields simulation for SFEM with small number of simulations at satisfactory accuracy: improvements to both basic statistical moments and autocorrelation structure of simulated random field. All these aspects are important for computational efficiency, robustness and accuracy in SFEM.

Key words in English

Random fields, Autocorrelation, Latin Hypercube Sampling, Orthogonal transformation, Error Assessment

Authors

VOŘECHOVSKÝ, M., NOVÁK, D.

RIV year

2005

Released

18. 6. 2005

Publisher

Millpress Rotterdam

Location

Netherlands

ISBN

90-5966-040-4

Book

Safety and Reliability of Engineering Systems and Structures

Pages from

436

Pages to

443

Pages count

8

BibTex

@inproceedings{BUT14797,
  author="Miroslav {Vořechovský} and Drahomír {Novák}",
  title="Simulation of random fields for stochastic finite element analysis",
  booktitle="Safety and Reliability of Engineering Systems and Structures",
  year="2005",
  pages="8",
  publisher="Millpress Rotterdam",
  address="Netherlands",
  isbn="90-5966-040-4"
}