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Structural Engineering and Mechanics Volume 4, Number 6, November 1996 , pages 703-715 DOI: https://doi.org/10.12989/sem.1996.4.6.703 |
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Stochastic finite element analysis of plate structures by weighted integral method |
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Choi CK, Noh HC
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| Abstract | ||
| In stochastic analysis, the randomness of the structural parameters is taken into consideration and the response variability is obtained in addition to the conventional (mean) response. In the present paper the structural response variability of plate structure is calculated using the weighted integral method and is compared with the results obtained by different methods. The stochastic field is assumed to be normally distributed and to have the homogeneity. The decomposition of strain-displacement matrix enabled us to extend the formulation to the stochastic analysis with the quadratic elements in the weighted integral method A new auto-correlation function is derived considering the uncertainty of plate thickness. The results obtained in the numerical examples by two different methods, i.e., weighted integral method and Monte Carlo simulation, are in a close agreement. In the case of the variable plate thickness, the obtained results are in good agreement with those of Lawrence and Monte Carlo simulation. | ||
| Key Words | ||
| stochastic finite element analysis, weighted integral method, auto-correlation function, material and geometrical randomness, Monte Carlo simulation | ||
| Address | ||
| Choi CK, KOREA ADV INST SCI & TECHNOL,DEPT CIVIL ENGN,TAEJON 305701,SOUTH KOREA | ||