Abstract
Shell analysis is a complex process. So far, many equations and theories have been proposed. With the increasing processing power of computers, numerical and approximate solutions were developed. The dynamic relaxation scheme is one of these methods. This procedure is an explicit technique for solving simultaneous equations. The fictitious mass and damping are added to the system of static structural equations in the dynamic relaxation technique to obtain a fictitious dynamic system. In this paper, 12 well-known dynamic relaxation processes were used for the linear analysis of shells. It is found that so far, the ability of many solutions of dynamic relaxation in the linear analysis of shells has not been shown. In each approach, the mass, damping and time step matrices are obtained based on the researchers’ work. Twelve samples are analysed. Most of these are examples of well-known benchmarks in non-linear analysis. The number of iterations and the analysis time gives the score of each technique. Then, the final rank of each method was obtained. Numerical solutions show that minimising the residual energy was the best process for linear shell analysis. Also, minimising the error of displacement, Zhang, Qiang and the power iteration methods behaved very similarly to each other.
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