ALGORITHM FOR CALCULATING A THREE-LAYER ROD WITH BOTH ENDS RIGIDLY FIXED

This article details a mathematical framework and computational method for examining the stress-strain conditions of a three-layer beam, fixed rigidly at both ends and subjected to spatial forces. The development of this model involves applying the Ostrogradsky - Hamilton principle, Cauchy’s equations, and Hooke’s law. A mathematical model for a three-layer rod is developed with appropriate equations, generalized initial and natural boundary conditions. The computational algorithm for the given problem is developed using the central finite difference method, and the implicit scheme of this method is employed in the solution process. The results obtained using the matrix driving method for second-order differential equations in the computational algorithm are presented through graphs.