Stochastic response analyses of various plate structures based on the hybrid GFDM-DPIM solver
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Stochastic phenomena are ubiquitous in various engineering fields and have significant impacts on the safety and reliability of engineering structures. The existing stochastic response analysis tools are mainly based on the combination of mesh-based methods and probability theory, such as stochastic finite element method. These methods usually have some drawbacks such as complex structure and insufficient computational efficiency. To address these problems, this work proposes a stochastic response analysis solver that combines the meshless generalized finite difference method (GFDM) and the direct probability integral method (DPIM). The solver combines the meshless flexibility of GFDM with the non-intrusive character of DPIM, which is convenient for application and maintains high accuracy and efficiency. The effectiveness and accuracy of the proposed method are validated through some examples involving plate structures, with results compared against those obtained through Monte Carlo Simulation.
