The integral method of splines for calculation of the natural frequencies of the rod and its capabilities

Abstract

The technique of applying the integral method of spline functions of degree 5 for the calculation of the natural frequencies of a straight rod at different ways of fastening its ends. On the example of solving the test problems with exact analytical solution, the possibilities of the proposed method, Yes. It is shown that the implemented algorithm is the use of integral method of spline functions of degree 5 has fourth order of convergence and allows to determine the values of the natural frequencies at an accuracy to fourteen significant digits.