Optimization of dome shape for filament wound pressure vessels using data-driven evolutionary algorithms

Analysis and optimization of junction between cylindrical part and end dome of filament wound pressure vessels using data driven evolutionary algorithms

“…This study extends the authors’ previous work 13 to include an optimization of junction between cylindrical part and end dome. A junction between cylindrical part and four types of known end domes – a cylindrical shell, a geodesic-isotensoid shell, 14 a shell based on minimizing of the Tsai-Hill criterion, 15 and a shell designed in a previous work 13 were analyzed and compared with each other. Also, a brand-new end dome shape was designed using data-driven evolutionary algorithms.…”

“…Damage pressures are different for each type of end dome analyzed in previous work (a spherical shell, a geodesic isotensoid shell, a shell based on minimizing of the Tsai-Hill's criterion, and a shell designed in previous work which is called Hoffman 1 in this study). 13 The values of these damage pressures are shown in Table 3. Damage pressures for new end domes developed using data-driven evolutionary optimization (Hoffman 2) are not shown in Table 3 because they will be discussed separately based on results from the parallel plots.…”

“…If we check the stress state in junction between cylinder part and end domes manufactured from glass-epoxy system which were analyzed in Vondra´cˇek et al 13 through Hoffman failure criterion (see equation (15) and Table 5) we will see, that all end domes will fail (Hoffman's failure index is greater than 1) except a spherical end dome. However, if we check the stress state in junction between cylinder part and end domes manufactured from carbonepoxy system we will see some better results.…”

“…are the same as in the previous work. 13 The procedure for calculating shear forces and bending moments using influence coefficients is shown below.…”

“…where s L , s T , and t LT are stresses in material coordinate system L, T ð Þ, h is the wall thickness of the end dome, N c and N u are inner forces resultants per unit length, and element of matrix c ij can be computed according to relationships described in Vondra´cˇek et al 13 and Fukunaga and Uemura. 15 Substitution of equation ( 17) into the Hoffman strength criterion (see equation ( 15)) the quadratic equation for damage pressure can be obtained…”