Justification of the choice of numerical methods in the study of nonlinear micropolar mesh cylindrical panel’s oscillations

Abstract

Based on the micro polar and the Kirchhoff-Love theories, the mathematical model of the cylindrical mesh panel’s oscillations is constructed. The panels are consisting of two families of mutually perpendicular edges. The scenarios of the transition of panel oscillations to chaos are investigated. To justify the reliability of the results obtained, the numerical implementation was carried out by fundamentally different numerical methods. The conclusion is drawn about the optimal combinations of methods for the numerical implementation of the task.