Abstract
Due to manufacturing errors, inaccurate measurement and working conditions changes, there are many uncertainties in laminated composite cylindrical shells, which causes the variation of vibration characteristics, and has an important influence on the overall performance. Therefore, an uncertainty representation methodology of natural frequency for laminated composite cylindrical shells is proposed, which considers probabilistic and interval variables simultaneously. The input interval variables are converted into a probabilistic density function or cumulative distribution function based on a four statistical moments method, and a unified probabilistic uncertainty analysis method is proposed to calculate the uncertainty of natural frequency. An adaptive Kriging surrogate model considering probabilistic uncertainty variables is established to accurately represent the natural frequency of laminated composite cylindrical shells. Finally, the dimensionless natural frequency of three-layer, five-layer and seven-layer laminated composite cylindrical shells with uncertainty input parameters is accurately represented. Compared with the Monte Carlo Simulation results, the mean error and standard deviation error are reduced to less than 0.07% and 4.7%, respectively, and the execution number of calculation function is significantly decreased, which fully proves the effectiveness of the proposed method.
Highlights
Laminated composite cylindrical shells are widely applied in aerospace, petroleum industry and ship engineering, due to their advantages of high specific strength, corrosion resistance, fatigue resistance and strong shock absorption [1,2,3]
If the non-probabilistic representation method is conducted to solve the problem of insufficient input data, the accuracy and efficiency of natural frequency representation of laminated composite cylindrical shells can be low [19,20,21]
To increase the accuracy and computational efficiency of uncertainty analysis of natural frequency for laminated composite cylindrical shells, the uncertainty representation method for natural frequency based on the Kriging surrogate model is proposed
Summary
Laminated composite cylindrical shells are widely applied in aerospace, petroleum industry and ship engineering, due to their advantages of high specific strength, corrosion resistance, fatigue resistance and strong shock absorption [1,2,3]. If the non-probabilistic representation method is conducted to solve the problem of insufficient input data, the accuracy and efficiency of natural frequency representation of laminated composite cylindrical shells can be low [19,20,21]. When the uncertain random variables and distribution parameters meet the probability distribution, it is crucial to establish the calculation method of natural frequency of laminated composite cylindrical shells based on the Kriging surrogate model. To increase the accuracy and computational efficiency of uncertainty analysis of natural frequency for laminated composite cylindrical shells, the uncertainty representation method for natural frequency based on the Kriging surrogate model is proposed. The key scientific contribution is providing an uncertainty representation method of natural frequency for laminated composite cylindrical shells based on the four statistical moments method and the Kriging surrogate model.
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