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Response of plates under statistically unsynchronized uniform random loads using Monte-Carlo simulation. (English) Zbl 1340.74050

Summary: Classic solutions of the responses of plates subjected to uniform random pressure are generally confined to simple boundary conditions where the assumed mode shape solutions are known. Even in those simple cases, response solutions have neglected the asymmetric modes for rectangular plates with symmetric boundary conditions due to mathematical limitations. To the best knowledge of the authors, the present paper presents for the first time the random response and fatigue life prediction for plates subjected to unsynchronized and statistically uncorrelated uniform random loads. A linear finite element formulation combined with the Monte-Carlo simulation is employed to determine the stress response, and the stochastic Palmgrem-Miner reliability model is used for the fatigue analysis. A simply supported rectangular plate is studied first in detail to show the contributions of both symmetric and asymmetric modes due to the unsynchronized loading. A clamped-simply supported plate is analyzed next to show the versatility of the present approach. In both cases, a significant reduction on the responses and increase in fatigue life was observed as compared to corresponding results from the uniform synchronized loading condition. Results also include RMS displacement and stress values, power spectral densities, probability density functions, and rainflow plots. Computational burden due to the unsynchronized random pressure fluctuations required the use of parallel computing capabilities.

MSC:

74H50 Random vibrations in dynamical problems in solid mechanics
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