This content is not included in your SAE MOBILUS subscription, or you are not logged in.

Efficient Random Vibration Analysis Using Markov Chain Monte Carlo Simulation

Published April 16, 2012 by SAE International in United States
Efficient Random Vibration Analysis Using Markov Chain Monte Carlo Simulation
Sector:
Citation: Norouzi, M. and Nikolaidis, E., "Efficient Random Vibration Analysis Using Markov Chain Monte Carlo Simulation," SAE Int. J. Mater. Manf. 5(1):77-86, 2012, https://doi.org/10.4271/2012-01-0067.
Language: English

References

  1. Metropolis, N, Rosenbluth, A.W., Rosenbluth, M.N., Teller, A.H., “Equations of State Calculations by Fast Computing Machines,” Journal of Chemical Physics, 21 (1953), pp. 1087-92
  2. Hastings, W.K., “Monte Carlo Sampling Methods Using Markov Chains and Their Applications,” Biometrika, 57 (1970), pp. 97-109
  3. Au, S.K. and Beck, J.L., “A New Adaptive Importance Sampling Scheme for Reliability Calculations,” Structural Safety, 21 (1999), pp. 135-158
  4. Au, S.K. and Beck, J.L., “Estimation of Small Failure Probabilities in High Dimensions by Subset Simulation,” Probabilistic Engineering Mechanics, 16 (2001), pp. 263-277
  5. Shinozuka, M., “Monte Carlo Solution of Structural Dynamics,” Computers & Structures, 2 (1972), pp. 855-874
  6. Rubinstein, R. Y. and Kroese, D. P., Simulation and the Monte Carlo Method, John Wiley & Sons, Inc., New York, 2008
  7. Newland, D.E., An Introduction to Random Vibrations, Spectral & Wavelet Analysis (3rd Edition), Prentice Hall, 1993
  8. Inman, D., Engineering Vibration (Second Edition), Prentice Hall, 2001
  9. Shigley, J. E., Mischke, C.R. and Budynas, R.G., Mechanical Engineering Design, McGraw Hill, 2003

Cited By