Analysis of the spectrum of frequencies of own fluctuations of a rod by the method of splines

Abstract

The methods of application of the method of spline functions of degree 5 for analyzing the spectrum of frequencies of own fluctuations of a straight rod at different ways of fastening its ends. The prima-re solving several test problems with exact analytical solution, analyzed possibleSTI of the proposed method. It is shown that the implemented algorithm is the application of the method of spline functions of degree 5 allows to determine the values of the natural frequencies with very high accuracy, restriction where you are only the possibilities of modern computersKey words: rods, oscillations, natural frequency , splines, mathematical modeling.