This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
Random Vibration Analysis Using Quasi-Random Bootstrapping
Technical Paper
2018-01-1104
ISSN: 0148-7191, e-ISSN: 2688-3627
This content contains downloadable datasets
Annotation ability available
Sector:
Language:
English
Abstract
Reliability analysis of engineering structures such as bridges, airplanes, and cars require calculation of small failure probabilities. These probabilities can be calculated using standard Monte Carlo simulation, but this method is impractical for most real-life systems because of its high computational cost.
Many studies have focused on reducing the computational cost of a reliability assessment. These include bootstrapping, Separable Monte Carlo, Importance Sampling, and the Combined Approximations. The computational cost can also be reduced using an efficient method for deterministic analysis such as the mode superposition, mode acceleration, and the combined acceleration method. This paper presents and demonstrates a method that uses a combination of Sobol quasi-random sequences and bootstrapping to reduce the number of function calls.
The study demonstrates that the use of quasi-random numbers in conjunction bootstrapping reduces dramatically computational cost.
Citation
Rahman, M. and Nikolaidis, E., "Random Vibration Analysis Using Quasi-Random Bootstrapping," SAE Technical Paper 2018-01-1104, 2018, https://doi.org/10.4271/2018-01-1104.Data Sets - Support Documents
Title | Description | Download |
---|---|---|
Unnamed Dataset 1 | ||
Unnamed Dataset 2 | ||
Unnamed Dataset 3 | ||
Unnamed Dataset 4 | ||
Unnamed Dataset 5 | ||
Unnamed Dataset 6 | ||
Unnamed Dataset 7 | ||
Unnamed Dataset 8 | ||
Unnamed Dataset 9 |
Also In
References
- Rice , S.O. Mathematical Analysis of Random Noise Bell Systems Tech. J. 23 282 23 282 332 332 1944
- Lin , Y.K. and Cai , G.Q. Probabilistic Structural Dynamics: Advanced Theory and Applications New York McGraw-Hill 1995
- Norouzi , M.E.
- Niederreiter , H. Random Number Generation and Quasi-Monte Carlo Methods SIAM CBMS-NSF Regional Conference Series in Applied Mathematics 1992
- Morokoff , W.J. and Caflisch , R.E. Quasi-Monte Carlo integration Journal of Computational Physics 122 2 218 230 1995
- Efron , B. Nonparametric Estimates of Standard Error: The Jackknife, the Bootstrap and Other Methods Biometrika 68 589 599 1981
- Davison , A.C. and Hinkley , D.V. Bootstrap Methods and Their Application Cambridge University Press 1997
- Ugwumba , M.C. and Nikolaidis , E. 2016
- Itoh , T. Damped Vibration Mode Superposition Method for Dynamic Response Analysis Earthquake Engineering & Structural Dynamics 2 1 47 57 1973
- Wijker , J. Mode Acceleration Method Mechanical Vibrations in Spacecraft Design Berlin, Heidelberg Springer 2004 313 329
- Kirsch , U. Combined Approximations-A General Reanalysis Approach for Structural Optimization Structural and Multidisciplinary Optimization 20 2 97 106 2000
- Napolitano and Paura , L. Cyclostationarity: Half a Century of Research Signal Processing 86 4 639 697 2006
- Sobol , I.M. On the distribution of Points in a Cube and the Approximate Evaluation of integrals Maths. Math. Phys. 7 86 112 1967 (in English)
- Bratley , P. and Fox , B.L. Algorithm 659 Implementing Sobol's Quasirandom Sequence Generator ACM Transactions on Mathematical Software. 14 1 88 100 1988
- Joe , S. and Kuo , F.Y. Remark on Algorithm 659 ACM Transactions on Mathematical Software. 29 1 49 57 2003
- Norouzi , M. and Nikolaidis , E. An Efficient Estimation of Probability of First-Passage in a Linear System Structural and Multidisciplinary Optimization 55 5 1733 1746 2017
- Shinozuka , M. and Jan , C.-M. Digital Simulation of Random Processes and its Applications Journal of Sound and Vibration 25 1 111 128 1972
- Jehan , M. and Nikolaidis , E. 2014