Shannon entropy determination for the elastic Euler-Bernoulli beam via random polynomials and Stochastic Finite Difference Method

The file attached contains a computer program, where determination of the probabilistic Shannon entropy is available using the Monte-Carlo scheme. Monte-Carlo simulation is related to the structural response polynomials, which have been computed using the additional Finite Difference Method program, also implemented in MAPLE 2024. This program would be also available in the REPOD resources after finishing of this project OPUS sponsored by the National Science Center. The uncertainty source is defined here as the Gaussian - by the use of its first two probabilistic moments (mu, sigma). The user may replace this distribution and its parameters in the source file relatively easily using the library "Statistics". Additional parameters are denoted as follows: "nnn" - total size of the Monte-Carlo population, "nn" - partition size of created probability density function of each random polynomial as well as "Digits", which denotes numerical precision of these computations. The variables e1, a1, s1 and k1 omitted here to speed up the entire simulation denote the expected values, coefficients of variation, skewness and kurtosis of random polynomials, which can be additionally computed using the same library.