Estimation of Precision of 4-th Order Finite Difference Method by Runge-Kutta in Solving Problems of Thin-walled Shells Dynamics by Finite Element Method

A way of analysis of the numerical solution of problems of thin-walled shells dynamics is suggested, which implies the application of finite element method of and 4-th order finite difference method by Runge-Kutta. Functions predicting the numerical solution and having the form of analytical solution functions are constructed. Recommendations on selecting the step of integration for time are developed. For free and forced oscillations the error of the obtained solution is estimated. The numerical solution predictions are compared to the analytical solutions and results of numerical experiments.