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June 15, 2024Ministry of Science and Technology VietnamOpen Access

Stochastic modelling of material variability in structural dynamics: A threefold comparison of Monte Carlo, polynomial chaos, and random sampling techniques

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Authors

RKRakesh Kumar

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Overview

Simulation study demonstrates eigenfrequency variations in beams with random elastic modulus, indicating log-normal distributions resolve negative value anomalies.

Key Points

  • Log-normal distributions eliminate imaginary eigenfrequencies caused by negative elastic modulus values, stabilizing covariance trends across the first three modes.
  • Monte Carlo simulations and polynomial chaos expansion evaluate covariance across correlation lengths, while a random sampling method discretises the beam into n elements.
  • Supports improved reliability in structural dynamics design, providing key statistical insights into eigenfrequency predictions under material property uncertainty.

Cite This Study

Rakesh Kumar (2024) studied this question.

synapsesocial.com/papers/68e649fbb6db6435875dab13https://doi.org/10.31276/vjste.66(2).33-51
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