Mixed Static and Dynamic Optimization of Four-Parameter Functionally Graded Completely Doubly Curved and Degenerate Shells and Panels Using GDQ Method

Pseudocode 2

Monte Carlo pseudocode.

Step (1) Set a max and min value for each parameter

Step (2) Set the max number of population (𝑛_𝑔) members, the convergence tolerance (𝜀) and

   the number of consecutive no improvements loops (𝑛_𝜀)

Step (3) while (𝑖<𝑛_𝑔) or (𝜀 for 𝑛_𝜀 loops false)

Step (4)    Randomly generate a member of population 𝑃_𝑖, following a probability

      distribution (normal, exponential, Weibull [113]).

Step (5)    Compute volume fraction distribution (𝑉_𝐶) in the thickness for 𝑃_𝑖

Step (6)    if 0<𝑉_𝐶<1

Step (7)     𝑖=𝑖+1

Step (8)     Compute Fitness

Step (9)     if Fitness (𝑖) > Best Fitness

Step (10)     Best Fitness = Fitness (𝑖)

Step (11)     Best member = 𝑖

Step (12)    end if

Step (12)    end if

Step (13) end while